The present work deals with a complex scalar field in scalar tensor gravity theory in the background of spatially flat Friedmann–Lema({hat{i}})tre–Robertson–Walker (FLRW) geometry. Noether symmetry analysis has been used to determine the classical cosmological solution of a scalar field in scalar–tensor theory with the scalar field as a nonminimally coupled complex field. Noether symmetry analysis is not only used to find a symmetry vector and potential but also it helps in finding an appropriate transformation ((a,~phi ,~theta )rightarrow (u,~v,~theta )) in the augmented space so that one of the new variables becomes cyclic. In quantum cosmology, the Wheeler–DeWitt (WD) equation has been formed in the minisuperspace and its solution i.e. the wave function of the universe has been evaluated by using the operator version of the conserved (Noether) charge. Finally, the nature of the classical solution has been discussed from the observational point of view and the cosmological singularity has been examined both classically and quantum mechanically.
{"title":"Noether symmetry analysis in scalar tensor cosmology: a study of classical and quantum cosmology","authors":"Dipankar Laya, Roshni Bhaumik, Subenoy Chakraborty","doi":"10.1140/epjc/s10052-023-11875-3","DOIUrl":"10.1140/epjc/s10052-023-11875-3","url":null,"abstract":"<div><p>The present work deals with a complex scalar field in scalar tensor gravity theory in the background of spatially flat Friedmann–Lema<span>({hat{i}})</span>tre–Robertson–Walker (FLRW) geometry. Noether symmetry analysis has been used to determine the classical cosmological solution of a scalar field in scalar–tensor theory with the scalar field as a nonminimally coupled complex field. Noether symmetry analysis is not only used to find a symmetry vector and potential but also it helps in finding an appropriate transformation <span>((a,~phi ,~theta )rightarrow (u,~v,~theta ))</span> in the augmented space so that one of the new variables becomes cyclic. In quantum cosmology, the Wheeler–DeWitt (WD) equation has been formed in the minisuperspace and its solution i.e. the wave function of the universe has been evaluated by using the operator version of the conserved (Noether) charge. Finally, the nature of the classical solution has been discussed from the observational point of view and the cosmological singularity has been examined both classically and quantum mechanically.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11875-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4291006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-07DOI: 10.1140/epjc/s10052-023-11880-6
Pramit Rej, Akashdip Karmakar
The concept of dark energy can be used as a possible option to prevent the gravitational collapse of compact objects into singularities. It affects the universe on the largest scale, as it is responsible for our universe’s accelerated expansion. As a consequence, it seems possible that dark energy will interact with any compact astrophysical stellar object [Phys. Rev. D 103, 084042 (2021)]. In this work, our prime focus is to develop a simplified model of a charged strange star coupled to anisotropic dark energy in Tolman–Kuchowicz spacetime (Tolman in Phys Rev 55:364, 1939; Kuchowicz in Acta Phys Pol 33:541, 1968) within the context of general relativity. To develop our model, here we consider a particular strange star object, Her X-1 with observed values of mass (=(0.85 pm 0.15)M_{odot }) and radius (= 8.1_{-0.41}^{+0.41}) km. respectively. In this context, we initially started with the equation of state (EoS) to model the dark energy, in which the dark energy density is proportional to the isotropic perfect fluid matter-energy density. The unknown constants present in the metric have been calculated by using the Darmois–Israel condition. We perform an in-depth analysis of the stability and force equilibrium of our proposed stellar configuration as well as multiple physical attributes of the model such as metric function, pressure, density, mass–radius relation, and dark energy parameters by varying dark energy coupling parameter (alpha ). Thus after a thorough theoretical analysis, we found that our proposed model is free from any singularity and also satisfies all stability criteria to be a stable and physically realistic stellar model.
{"title":"Charged strange star coupled to anisotropic dark energy in Tolman–Kuchowicz spacetime","authors":"Pramit Rej, Akashdip Karmakar","doi":"10.1140/epjc/s10052-023-11880-6","DOIUrl":"10.1140/epjc/s10052-023-11880-6","url":null,"abstract":"<div><p>The concept of dark energy can be used as a possible option to prevent the gravitational collapse of compact objects into singularities. It affects the universe on the largest scale, as it is responsible for our universe’s accelerated expansion. As a consequence, it seems possible that dark energy will interact with any compact astrophysical stellar object [Phys. Rev. D 103, 084042 (2021)]. In this work, our prime focus is to develop a simplified model of a charged strange star coupled to anisotropic dark energy in Tolman–Kuchowicz spacetime (Tolman in Phys Rev 55:364, 1939; Kuchowicz in Acta Phys Pol 33:541, 1968) within the context of general relativity. To develop our model, here we consider a particular strange star object, Her X-1 with observed values of mass <span>(=(0.85 pm 0.15)M_{odot })</span> and radius <span>(= 8.1_{-0.41}^{+0.41})</span> km. respectively. In this context, we initially started with the equation of state (EoS) to model the dark energy, in which the dark energy density is proportional to the isotropic perfect fluid matter-energy density. The unknown constants present in the metric have been calculated by using the Darmois–Israel condition. We perform an in-depth analysis of the stability and force equilibrium of our proposed stellar configuration as well as multiple physical attributes of the model such as metric function, pressure, density, mass–radius relation, and dark energy parameters by varying dark energy coupling parameter <span>(alpha )</span>. Thus after a thorough theoretical analysis, we found that our proposed model is free from any singularity and also satisfies all stability criteria to be a stable and physically realistic stellar model.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11880-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4609164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-07DOI: 10.1140/epjc/s10052-023-11886-0
Phung Van Dong, Duong Van Loi
The (SU(3)_Lotimes U(1)_X) symmetry actually studied is directly broken to the electroweak symmetry (SU(2)_Lotimes U(1)_Y) by a Higgs triplet, predicting a relevant new physics at TeV scale. This work argues, by contrast, that the higher weak isospin (SU(3)_L) might be broken at a high energy scale, much beyond 1 TeV, by a Higgs octet to an intermediate symmetry (SU(2)_Lotimes U(1)_{T_8}) at TeV, before the latter (U(1)_{T_8}) recombined with (U(1)_X) defines (i.e., broken to) (U(1)_Y) by a Higgs singlet. The new physics coupled to (SU(3)_L) breaking phase is decoupled, whereas what remains is a novel family-nonuniversal abelian model, (U(1)_{T_8}otimes U(1)_X), significantly overhauling the standard model as well as yielding consistent results for neutrino mass, dark matter, W-mass anomaly, and FCNC, differently from the usual 3-3-1 model.
{"title":"Physics implication from higher weak isospin decomposition","authors":"Phung Van Dong, Duong Van Loi","doi":"10.1140/epjc/s10052-023-11886-0","DOIUrl":"10.1140/epjc/s10052-023-11886-0","url":null,"abstract":"<div><p>The <span>(SU(3)_Lotimes U(1)_X)</span> symmetry actually studied is directly broken to the electroweak symmetry <span>(SU(2)_Lotimes U(1)_Y)</span> by a Higgs triplet, predicting a relevant new physics at TeV scale. This work argues, by contrast, that the higher weak isospin <span>(SU(3)_L)</span> might be broken at a high energy scale, much beyond 1 TeV, by a Higgs octet to an intermediate symmetry <span>(SU(2)_Lotimes U(1)_{T_8})</span> at TeV, before the latter <span>(U(1)_{T_8})</span> recombined with <span>(U(1)_X)</span> defines (i.e., broken to) <span>(U(1)_Y)</span> by a Higgs singlet. The new physics coupled to <span>(SU(3)_L)</span> breaking phase is decoupled, whereas what remains is a novel family-nonuniversal abelian model, <span>(U(1)_{T_8}otimes U(1)_X)</span>, significantly overhauling the standard model as well as yielding consistent results for neutrino mass, dark matter, <i>W</i>-mass anomaly, and FCNC, differently from the usual 3-3-1 model.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11886-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4284520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-07DOI: 10.1140/epjc/s10052-023-11861-9
Yu-Qi Dong, Yu-Qiang Liu, Yu-Xiao Liu
In this paper, we investigate the possible parameter space of Palatini–Horndeski theory with gravitational waves in a spatially flat Universe. We develop a general method for obtaining the speed of gravitational waves in the Palatini formalism in the cosmological background and we find that if the theory satisfies the following condition: in any spatially flat cosmological background, the tensor gravitational wave speed is the speed of light c, then only (S = int d^4x sqrt{-g} big [K(phi ,X)-G_{3}(phi ,X){{tilde{Box }}}phi +G_{4}(phi ){tilde{R}}big ]) is left as the possible action in Palatini–Horndeski theory. We also find that when (G_{5}(phi ,X)ne 0), the tensor part of the connection will propagate and there are two different tensor gravitational wave speeds.
本文研究了空间平坦宇宙中具有引力波的Palatini-Horndeski理论的可能参数空间。我们发展了宇宙背景下Palatini形式中引力波速度的一般计算方法,发现如果该理论满足以下条件:在任何空间平坦的宇宙背景下,张量引力波速度为光速c,那么在Palatini - horndeski理论中只剩下(S = int d^4x sqrt{-g} big [K(phi ,X)-G_{3}(phi ,X){{tilde{Box }}}phi +G_{4}(phi ){tilde{R}}big ])作为可能的作用。我们还发现,当(G_{5}(phi ,X)ne 0)时,连接的张量部分将传播,并且存在两种不同的张量引力波速度。
{"title":"Constraining Palatini–Horndeski theory with gravitational waves after GW170817","authors":"Yu-Qi Dong, Yu-Qiang Liu, Yu-Xiao Liu","doi":"10.1140/epjc/s10052-023-11861-9","DOIUrl":"10.1140/epjc/s10052-023-11861-9","url":null,"abstract":"<div><p>In this paper, we investigate the possible parameter space of Palatini–Horndeski theory with gravitational waves in a spatially flat Universe. We develop a general method for obtaining the speed of gravitational waves in the Palatini formalism in the cosmological background and we find that if the theory satisfies the following condition: in any spatially flat cosmological background, the tensor gravitational wave speed is the speed of light <i>c</i>, then only <span>(S = int d^4x sqrt{-g} big [K(phi ,X)-G_{3}(phi ,X){{tilde{Box }}}phi +G_{4}(phi ){tilde{R}}big ])</span> is left as the possible action in Palatini–Horndeski theory. We also find that when <span>(G_{5}(phi ,X)ne 0)</span>, the tensor part of the connection will propagate and there are two different tensor gravitational wave speeds.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11861-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4284521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-07DOI: 10.1140/epjc/s10052-023-11882-4
G. G. L. Nashed
Many physically inspired general relativity (GR) modifications predict significant deviations in the properties of spacetime surrounding massive neutron stars. Among these modifications is (f({mathcal {R}}, {mathbb {T}})), where ({mathcal {R}}) is the Ricci scalar, ( {mathbb {T}}) is the trace of the energy–momentum tensor, the gravitational theory that is thought to be a neutral extension of GR. Neutron stars with masses above 1.8 (M_{odot }) expressed as radio pulsars are precious tests of fundamental physics in extreme conditions unique in the observable universe and unavailable to terrestrial experiments. We obtained an exact analytical solution for anisotropic perfect-fluid spheres in hydrostatic equilibrium using the frame of the linear form of (f({mathcal {R}},{mathbb {T}})={mathcal {R}}+beta {mathbb {T}}) where (beta ) is a dimensional parameter. We show that the dimensional parameter (beta ) and the compactness, (C=frac{2GM}{Rc^2}) can be used to express all physical quantities within the star. We fix the dimensional parameter (beta ) to be at most (beta _1=frac{beta }{kappa ^2}= 0.1) in positive values through the use of observational data from NICER and X-ray Multi-Mirror telescopes on the pulsar ({textit{PSR J0740+6620}}), which provide information on its mass and radius. The mass and radius of the pulsar ({textit{PSR J0740+6620}}) were determined by analyzing data obtained from NICER and X-ray Multi-Mirror telescopes. It is important to mention that no assumptions about equations of state were made in this research. Nevertheless, the model demonstrates a good fit with linear patterns involving bag constants. Generally, when the dimensional parameter (beta ) is positive, the theory predicts that a star of the same mass will have a slightly larger size than what is predicted by GR. It has been explained that the hydrodynamic equilibrium equation includes an additional force resulting from the coupling between matter and geometry. This force partially reduces the effect of gravitational force. As a result, we compute the maximum compactness allowed by the strong energy condition for (f({mathcal {R}}, {mathbb {T}})={mathcal {R}}+beta {mathbb {T}}) and for GR, which are (C = 0.757) and 0.725, respectively. These values are approximately 3% higher than the prediction made by GR.. Furthermore, we estimate the maximum mass (Mapprox 4.26 M_{odot }) at a radius of (Rapprox 15.9) km for the surface density at saturation nuclear density (rho _{text {nuc}} = 2.7times 10^{14})?g/cm(^3).
许多受物理启发的广义相对论(GR)修正预测了大质量中子星周围时空特性的显著偏差。在这些修正中有(f({mathcal {R}}, {mathbb {T}})),其中({mathcal {R}})是里奇标量,( {mathbb {T}})是能量动量张量的轨迹,引力理论被认为是GR的中性扩展。质量超过1.8 (M_{odot })的中子星表示为射电脉冲星,是在可观测宇宙中独特的极端条件下对基础物理的宝贵测试,无法用于地面实验。我们利用(f({mathcal {R}},{mathbb {T}})={mathcal {R}}+beta {mathbb {T}})的线性形式得到了静力平衡下各向异性完美流体球的精确解析解,其中(beta )是一个尺寸参数。我们证明了维度参数(beta )和紧度(C=frac{2GM}{Rc^2})可以用来表示恒星内部的所有物理量。通过使用NICER和x射线多镜望远镜对脉冲星({textit{PSR J0740+6620}})的观测数据,我们将尺寸参数(beta )固定为最大值(beta _1=frac{beta }{kappa ^2}= 0.1),这些观测数据提供了脉冲星的质量和半径信息。脉冲星({textit{PSR J0740+6620}})的质量和半径是通过分析NICER和x射线多镜望远镜获得的数据确定的。重要的是,在本研究中没有对状态方程作任何假设。然而,该模型证明了一个很好的拟合线性模式涉及袋常数。一般来说,当尺寸参数(beta )为正时,该理论预测相同质量的恒星将比GR预测的稍大。已经解释了流体动力学平衡方程包含了由物质和几何之间的耦合产生的额外力。这个力部分地减轻了重力的作用。因此,我们计算了强能量条件下(f({mathcal {R}}, {mathbb {T}})={mathcal {R}}+beta {mathbb {T}})和GR允许的最大紧度,分别为(C = 0.757)和0.725。这些值大约是3% higher than the prediction made by GR.. Furthermore, we estimate the maximum mass (Mapprox 4.26 M_{odot }) at a radius of (Rapprox 15.9) km for the surface density at saturation nuclear density (rho _{text {nuc}} = 2.7times 10^{14})?g/cm(^3).
{"title":"Confront (f(R,T)={mathcal {R}}+beta T) modified gravity with the massive pulsar ({textit{PSR J0740+6620}})","authors":"G. G. L. Nashed","doi":"10.1140/epjc/s10052-023-11882-4","DOIUrl":"10.1140/epjc/s10052-023-11882-4","url":null,"abstract":"<div><p>Many physically inspired general relativity (GR) modifications predict significant deviations in the properties of spacetime surrounding massive neutron stars. Among these modifications is <span>(f({mathcal {R}}, {mathbb {T}}))</span>, where <span>({mathcal {R}})</span> is the Ricci scalar, <span>( {mathbb {T}})</span> is the trace of the energy–momentum tensor, the gravitational theory that is thought to be a neutral extension of GR. Neutron stars with masses above 1.8 <span>(M_{odot })</span> expressed as radio pulsars are precious tests of fundamental physics in extreme conditions unique in the observable universe and unavailable to terrestrial experiments. We obtained an exact analytical solution for anisotropic perfect-fluid spheres in hydrostatic equilibrium using the frame of the linear form of <span>(f({mathcal {R}},{mathbb {T}})={mathcal {R}}+beta {mathbb {T}})</span> where <span>(beta )</span> is a dimensional parameter. We show that the dimensional parameter <span>(beta )</span> and the compactness, <span>(C=frac{2GM}{Rc^2})</span> can be used to express all physical quantities within the star. We fix the dimensional parameter <span>(beta )</span> to be at most <span>(beta _1=frac{beta }{kappa ^2}= 0.1)</span> in positive values through the use of observational data from NICER and X-ray Multi-Mirror telescopes on the pulsar <span>({textit{PSR J0740+6620}})</span>, which provide information on its mass and radius. The mass and radius of the pulsar <span>({textit{PSR J0740+6620}})</span> were determined by analyzing data obtained from NICER and X-ray Multi-Mirror telescopes. It is important to mention that no assumptions about equations of state were made in this research. Nevertheless, the model demonstrates a good fit with linear patterns involving bag constants. Generally, when the dimensional parameter <span>(beta )</span> is positive, the theory predicts that a star of the same mass will have a slightly larger size than what is predicted by GR. It has been explained that the hydrodynamic equilibrium equation includes an additional force resulting from the coupling between matter and geometry. This force partially reduces the effect of gravitational force. As a result, we compute the maximum compactness allowed by the strong energy condition for <span>(f({mathcal {R}}, {mathbb {T}})={mathcal {R}}+beta {mathbb {T}})</span> and for GR, which are <span>(C = 0.757)</span> and 0.725, respectively. These values are approximately 3% higher than the prediction made by GR.. Furthermore, we estimate the maximum mass <span>(Mapprox 4.26 M_{odot })</span> at a radius of <span>(Rapprox 15.9)</span> km for the surface density at saturation nuclear density <span>(rho _{text {nuc}} = 2.7times 10^{14})</span>?g/cm<span>(^3)</span>.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11882-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4285034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-07DOI: 10.1140/epjc/s10052-023-11881-5
Dhruba Jyoti Gogoi, Ali Övgün, M. Koussour
In this work, we have studied the quasinormal modes of a black hole in a model of the type (f(Q)=underset{n}{sum }a_{n}left( Q-Q_{0}right) ^{n} ) in f(Q) gravity by using a recently introduced method known as Bernstein spectral method and confirmed the validity of the method with the help of well known Padé averaged higher order WKB approximation method. Here we have considered scalar perturbation and electromagnetic perturbation in the black hole spacetime and obtained the corresponding quasinormal modes. We see that for a non-vanishing nonmetricity scalar (Q_0), quasinormal frequencies in scalar perturbation are greater than those in electromagnetic perturbation scenarios. On the other hand, the damping rate of gravitational waves is higher for electromagnetic perturbation. To confirm the quasinormal mode behaviour, we have also investigated the time domain profiles for both types of perturbations.
{"title":"Quasinormal modes of black holes in f(Q) gravity","authors":"Dhruba Jyoti Gogoi, Ali Övgün, M. Koussour","doi":"10.1140/epjc/s10052-023-11881-5","DOIUrl":"10.1140/epjc/s10052-023-11881-5","url":null,"abstract":"<div><p>In this work, we have studied the quasinormal modes of a black hole in a model of the type <span>(f(Q)=underset{n}{sum }a_{n}left( Q-Q_{0}right) ^{n} )</span> in <i>f</i>(<i>Q</i>) gravity by using a recently introduced method known as Bernstein spectral method and confirmed the validity of the method with the help of well known Padé averaged higher order WKB approximation method. Here we have considered scalar perturbation and electromagnetic perturbation in the black hole spacetime and obtained the corresponding quasinormal modes. We see that for a non-vanishing nonmetricity scalar <span>(Q_0)</span>, quasinormal frequencies in scalar perturbation are greater than those in electromagnetic perturbation scenarios. On the other hand, the damping rate of gravitational waves is higher for electromagnetic perturbation. To confirm the quasinormal mode behaviour, we have also investigated the time domain profiles for both types of perturbations.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11881-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4289842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-06DOI: 10.1140/epjc/s10052-023-11879-z
Ashutosh Singh
We study a class of homogeneous and anisotropic geometries with affine equation of state (EoS) for different physically plausible scenarios of the universe evolution using dynamical system technique. We analyze the locally rotationally symmetric Bianchi I (LRS BI), Bianchi III (LRS BIII) and Bianchi V (LRS BV) geometry for the exhibition of the effects of affine EoS in the model. The model exhibits stable attractor which is also isotropic and thus, it may explain the late-time accelerated expansion of the universe. The model also possess stiff matter-, radiation- and matter-dominated phases prior to the dark energy assisted accelerating phase which are confirmed by the behaviours of effective equation of state and deceleration parameters. We use the statefinder diagnostic which is a geometrical diagnostic to explore model independent features of the cosmological dynamical system. The LRS BI, BIII and BV geometry based dynamical systems exhibit (r=1,s=0)((Lambda ) cold dark matter model) at late-times, which is compatible with the observations. The dynamical system for the Kantowski–Sachs model yields synchronous bounce on the basis of the model parameters. It also yields a late-time attractor which may explain the accelerated expansion of the universe in the model. The qualitative differences between LRS BIII and BV cosmological dynamical systems have also been discussed.
我们利用动力系统技术研究了一类具有仿射状态方程的齐次和各向异性几何,用于研究宇宙演化的不同物理可能情景。我们分析了局部旋转对称的Bianchi I (LRS BI), Bianchi III (LRS BIII)和Bianchi V (LRS BV)几何形状,以展示仿射EoS在模型中的影响。该模型显示出稳定的吸引子,并且各向同性,因此,它可以解释宇宙的后期加速膨胀。有效状态方程和减速参数的行为证实了该模型在暗能量辅助加速相之前还具有物质、辐射和物质主导的硬相。我们使用一种几何诊断方法——状态发现者诊断来探索宇宙动力系统与模型无关的特征。基于LRS BI、BIII和BV几何的动力系统在后期表现出(r=1,s=0)((Lambda )冷暗物质模型),这与观测结果是一致的。Kantowski-Sachs模型的动力系统在模型参数的基础上产生同步反弹。它还产生了一个晚时间吸引子,可以解释模型中宇宙的加速膨胀。还讨论了LRS BIII和BV宇宙学动力系统的质的区别。
{"title":"Homogeneous and anisotropic cosmologies with affine EoS: a dynamical system perspective","authors":"Ashutosh Singh","doi":"10.1140/epjc/s10052-023-11879-z","DOIUrl":"10.1140/epjc/s10052-023-11879-z","url":null,"abstract":"<div><p>We study a class of homogeneous and anisotropic geometries with affine equation of state (EoS) for different physically plausible scenarios of the universe evolution using dynamical system technique. We analyze the locally rotationally symmetric Bianchi I (LRS BI), Bianchi III (LRS BIII) and Bianchi V (LRS BV) geometry for the exhibition of the effects of affine EoS in the model. The model exhibits stable attractor which is also isotropic and thus, it may explain the late-time accelerated expansion of the universe. The model also possess stiff matter-, radiation- and matter-dominated phases prior to the dark energy assisted accelerating phase which are confirmed by the behaviours of effective equation of state and deceleration parameters. We use the statefinder diagnostic which is a geometrical diagnostic to explore model independent features of the cosmological dynamical system. The LRS BI, BIII and BV geometry based dynamical systems exhibit <span>(r=1,s=0)</span> <span>((Lambda )</span> cold dark matter model) at late-times, which is compatible with the observations. The dynamical system for the Kantowski–Sachs model yields synchronous bounce on the basis of the model parameters. It also yields a late-time attractor which may explain the accelerated expansion of the universe in the model. The qualitative differences between LRS BIII and BV cosmological dynamical systems have also been discussed.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11879-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4237847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-06DOI: 10.1140/epjc/s10052-023-11871-7
Daniel de Florian, Lucas Palma Conte
We discuss the effect of QED corrections in the evolution of polarized parton distributions. We solve the corresponding evolution equations exactly to ({mathcal {O}}(alpha )) and ({mathcal {O}}(a_{textrm{S}}^2)) in Mellin N-space, extending the available techniques for pure QCD evolution. To accomplish this, we introduce, for the first time, the Altarelli–Parisi polarized kernels at LO in QED. Furthermore, we perform a phenomenological analysis of the QED effects on polarized parton distributions (pPDFs), proposing different scenarios for the polarized photon density. Finally, we quantify the impact of the corresponding QED contributions to the polarized structure function (g_1). We show that the relative corrections to both the pPDFs and the (g_1) structure function are approximately at the few percent level, which is the order of magnitude expected considering the value of (alpha ).
{"title":"QED corrections to parton distributions and Altarelli–Parisi splitting functions in the polarized case","authors":"Daniel de Florian, Lucas Palma Conte","doi":"10.1140/epjc/s10052-023-11871-7","DOIUrl":"10.1140/epjc/s10052-023-11871-7","url":null,"abstract":"<div><p>We discuss the effect of QED corrections in the evolution of polarized parton distributions. We solve the corresponding evolution equations exactly to <span>({mathcal {O}}(alpha ))</span> and <span>({mathcal {O}}(a_{textrm{S}}^2))</span> in Mellin <i>N</i>-space, extending the available techniques for pure QCD evolution. To accomplish this, we introduce, for the first time, the Altarelli–Parisi polarized kernels at LO in QED. Furthermore, we perform a phenomenological analysis of the QED effects on polarized parton distributions (pPDFs), proposing different scenarios for the polarized photon density. Finally, we quantify the impact of the corresponding QED contributions to the polarized structure function <span>(g_1)</span>. We show that the relative corrections to both the pPDFs and the <span>(g_1)</span> structure function are approximately at the few percent level, which is the order of magnitude expected considering the value of <span>(alpha )</span>.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11871-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4237838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-06DOI: 10.1140/epjc/s10052-023-11840-0
Rosemin John, N. Sarath, Titus K. Mathew
The phenomenologically emergent dark energy (PEDE) model is a varying dark energy model with no extra degrees of freedom proposed by Li and Shafieloo (Astrophys J 883(1):L3, 2019) to alleviate the Hubble tension. The statistical consistency of the model has been discussed by many authors. Since the model depicts a phantom dark energy that increases with redshift, its cosmic evolution, particularly during the late phase, must be examined. We discover that the model’s Hubble and deceleration parameters display unusual behaviour in the future, which differs from (varLambda )CDM cosmology. We find the model also follows a distinct evolution in the statefinder plane. The phantom nature of the model leads to the violation of the null energy condition and a decrease in horizon entropy. The asymptotic future epoch also seems to be unstable based on our dynamical system analysis as well as the stability analysis based on dark energy sound speed.
{"title":"Thermal evolution and stability analysis of phenomenologically emergent dark energy model","authors":"Rosemin John, N. Sarath, Titus K. Mathew","doi":"10.1140/epjc/s10052-023-11840-0","DOIUrl":"10.1140/epjc/s10052-023-11840-0","url":null,"abstract":"<div><p>The phenomenologically emergent dark energy (PEDE) model is a varying dark energy model with no extra degrees of freedom proposed by Li and Shafieloo (Astrophys J 883(1):L3, 2019) to alleviate the Hubble tension. The statistical consistency of the model has been discussed by many authors. Since the model depicts a phantom dark energy that increases with redshift, its cosmic evolution, particularly during the late phase, must be examined. We discover that the model’s Hubble and deceleration parameters display unusual behaviour in the future, which differs from <span>(varLambda )</span>CDM cosmology. We find the model also follows a distinct evolution in the statefinder plane. The phantom nature of the model leads to the violation of the null energy condition and a decrease in horizon entropy. The asymptotic future epoch also seems to be unstable based on our dynamical system analysis as well as the stability analysis based on dark energy sound speed.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11840-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4242250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-05DOI: 10.1140/epjc/s10052-023-11877-1
Soumya Chakrabarti
We show that it is possible to steer clear of a spacetime singularity during gravitational collapse by considering time-variation of a fundamental coupling, in this case, the fine structure constant (alpha ). We study a spherical distribution of cold dark matter coexisting with other fluid elements, collapsing under its own gravity. The dark matter is written as a scalar field interacting with electrically charged matter. This leads to a time variation of (alpha ) and as a consequence, a breakdown of local charge conservation within the sphere. The exterior has no such field and therefore, Einstein’s GR and standard equivalence principles remain valid. We derive the lowest possible bound on the collapse of this sphere beyond which there is a bounce and dispersal of most of the accumulated matter. We discuss the critical behavior of the system around this point and show that the bound is connected to a length scale of the order of Planck, introduced in the theory for dimensional requirements.
{"title":"Can a variation of fine structure constant influence the fate of gravitational collapse?","authors":"Soumya Chakrabarti","doi":"10.1140/epjc/s10052-023-11877-1","DOIUrl":"10.1140/epjc/s10052-023-11877-1","url":null,"abstract":"<div><p>We show that it is possible to steer clear of a spacetime singularity during gravitational collapse by considering time-variation of a fundamental coupling, in this case, the fine structure constant <span>(alpha )</span>. We study a spherical distribution of cold dark matter coexisting with other fluid elements, collapsing under its own gravity. The dark matter is written as a scalar field interacting with electrically charged matter. This leads to a time variation of <span>(alpha )</span> and as a consequence, a breakdown of local charge conservation within the sphere. The exterior has no such field and therefore, Einstein’s GR and standard equivalence principles remain valid. We derive the lowest possible bound on the collapse of this sphere beyond which there is a bounce and dispersal of most of the accumulated matter. We discuss the critical behavior of the system around this point and show that the bound is connected to a length scale of the order of Planck, introduced in the theory for dimensional requirements.</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"83 8","pages":""},"PeriodicalIF":4.4,"publicationDate":"2023-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11877-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4198992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}