Pub Date : 2024-10-09DOI: 10.1016/j.aop.2024.169824
Daniel del-Corral
In this paper, for the first time, we obtain a new class of solutions for the Hill-type differential equations, which emerge in the preheating self-resonance phase of the expanding Universe. We study, in particular, the class of symmetric and asymmetric scalar field potentials coming from the so-called -attractor models of the early Universe cosmology. By making a series expansion of the potential and employing perturbative techniques we reformulate the Mukhanov–Sasaki equation, which captures the dynamics of the curvature perturbation in these models, into a Hill equation. This last includes higher-order terms that were never solved in the literature. Namely, those coming from the cubic and quartic contributions of the scalar field potential. Then, we derive the expressions for the Floquet exponents of the Mukhanov–Sasaki variable. Our analytical results are then compared with numerical computations, showing a good agreement and thus making this method valuable for obtaining theoretical predictions with new observational applications in the contexts of Primordial Black Holes and Scalar-Induced Gravitational Waves.
{"title":"Self-resonance during preheating: The case of α-attractor models","authors":"Daniel del-Corral","doi":"10.1016/j.aop.2024.169824","DOIUrl":"10.1016/j.aop.2024.169824","url":null,"abstract":"<div><div>In this paper, for the first time, we obtain a new class of solutions for the Hill-type differential equations, which emerge in the preheating self-resonance phase of the expanding Universe. We study, in particular, the class of symmetric and asymmetric scalar field potentials coming from the so-called <span><math><mi>α</mi></math></span>-attractor models of the early Universe cosmology. By making a series expansion of the potential and employing perturbative techniques we reformulate the Mukhanov–Sasaki equation, which captures the dynamics of the curvature perturbation in these models, into a Hill equation. This last includes higher-order terms that were never solved in the literature. Namely, those coming from the cubic and quartic contributions of the scalar field potential. Then, we derive the expressions for the Floquet exponents of the Mukhanov–Sasaki variable. Our analytical results are then compared with numerical computations, showing a good agreement and thus making this method valuable for obtaining theoretical predictions with new observational applications in the contexts of Primordial Black Holes and Scalar-Induced Gravitational Waves.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169824"},"PeriodicalIF":3.0,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142438066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-05DOI: 10.1016/j.aop.2024.169819
C. Fairoos , T.K. Safir , Deepak Mishra
The dynamics of the state-switching process of black holes in dRGT massive gravity theory is presented using free energy landscape and stochastic Langevin equations. The free energy landscape is constructed using the Gibbons-Hawking path integral method. The black hole phases are characterized by taking its horizon radius as the order parameter. The free energy landscape provides three black hole phases: small, intermediate, and large. The small and large black holes are thermodynamically stable whereas the intermediate one is unstable. The Martin–Siggia–Rose–Janssen–de Dominicis (MSRJD) functional describes the stochastic dynamics of black hole phase transition. The Hamiltonian flow lines are obtained from the MSRJD functional and are used to analyze the stability and the phase transition properties. The dominant kinetic path between different phases is discussed for various configurations of the free energy landscape. We discuss the effect of black hole charge and the graviton mass on the critical behavior of black hole phase transition.
{"title":"Phase-space path integral approach to the kinetics of black hole phase transition in massive gravity","authors":"C. Fairoos , T.K. Safir , Deepak Mishra","doi":"10.1016/j.aop.2024.169819","DOIUrl":"10.1016/j.aop.2024.169819","url":null,"abstract":"<div><div>The dynamics of the state-switching process of black holes in dRGT massive gravity theory is presented using free energy landscape and stochastic Langevin equations. The free energy landscape is constructed using the Gibbons-Hawking path integral method. The black hole phases are characterized by taking its horizon radius as the order parameter. The free energy landscape provides three black hole phases: small, intermediate, and large. The small and large black holes are thermodynamically stable whereas the intermediate one is unstable. The Martin–Siggia–Rose–Janssen–de Dominicis (MSRJD) functional describes the stochastic dynamics of black hole phase transition. The Hamiltonian flow lines are obtained from the MSRJD functional and are used to analyze the stability and the phase transition properties. The dominant kinetic path between different phases is discussed for various configurations of the free energy landscape. We discuss the effect of black hole charge and the graviton mass on the critical behavior of black hole phase transition.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169819"},"PeriodicalIF":3.0,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-05DOI: 10.1016/j.aop.2024.169816
V.V. Obukhov
The classification of the Stackel spaces of the electrovacuum of the type (3.0) has been done. These spaces are invariant under the action of the three-parameter abelian group of motions and belong to the first type Bianchi spaces. In the case of a non-zero cosmological term, the metrics and potentials contain solutions of a nonlinear ordinary differential equation of the second order. When the cosmological term equals zero, the metrics and the components of the electromagnetic field tensor are expressed through elementary functions. Thus the classification of the electrovacuum stackel spaces of all types is completed and complete list of these spaces is constructed.
{"title":"Classification of the non-null electrovacuum solution of Einstein–Maxwell equations with three-parameter abelian group of motions","authors":"V.V. Obukhov","doi":"10.1016/j.aop.2024.169816","DOIUrl":"10.1016/j.aop.2024.169816","url":null,"abstract":"<div><div>The classification of the Stackel spaces of the electrovacuum of the type (3.0) has been done. These spaces are invariant under the action of the three-parameter abelian group of motions and belong to the first type Bianchi spaces. In the case of a non-zero cosmological term, the metrics and potentials contain solutions of a nonlinear ordinary differential equation of the second order. When the cosmological term equals zero, the metrics and the components of the electromagnetic field tensor are expressed through elementary functions. Thus the classification of the electrovacuum stackel spaces of all types is completed and complete list of these spaces is constructed.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169816"},"PeriodicalIF":3.0,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-10-01DOI: 10.1016/j.aop.2024.169818
Madhukrishna Chakraborty, Subenoy Chakraborty
The paper aims at deriving a curvature form of the famous Raychaudhuri equation (RE) and the associated criteria for focusing of a hyper-surface orthogonal congruence of time-like geodesic. Moreover, the paper identifies a transformation of variable related to the metric scalar of the hyper-surface which converts the first order RE into a second order differential equation that resembles an equation of a Harmonic oscillator and also gives a first integral that yields the analytic solution of the RE and Lagrangian of the dynamical system representing the congruence.
本文旨在推导著名的雷乔杜里方程（Raychaudhuri equation，RE）的曲率形式，以及类时间测地线的超曲面正交全等聚焦的相关标准。此外，论文还确定了一种与超曲面度量标量相关的变量变换，它将一阶 RE 转换为类似谐振子方程的二阶微分方程，并给出了一阶积分，从而得到 RE 的解析解和代表全等的动力学系统的拉格朗日。
{"title":"Curvature form of Raychaudhuri equation and its consequences: A geometric approach","authors":"Madhukrishna Chakraborty, Subenoy Chakraborty","doi":"10.1016/j.aop.2024.169818","DOIUrl":"10.1016/j.aop.2024.169818","url":null,"abstract":"<div><div>The paper aims at deriving a curvature form of the famous Raychaudhuri equation (RE) and the associated criteria for focusing of a hyper-surface orthogonal congruence of time-like geodesic. Moreover, the paper identifies a transformation of variable related to the metric scalar of the hyper-surface which converts the first order RE into a second order differential equation that resembles an equation of a Harmonic oscillator and also gives a first integral that yields the analytic solution of the RE and Lagrangian of the dynamical system representing the congruence.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169818"},"PeriodicalIF":3.0,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425481","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-30DOI: 10.1016/j.aop.2024.169817
A. Moradpouri , Mahdi Torabian , S.A. Jafari
We formulate the Boltzmann kinetic equations for interacting electrons with tilted Dirac cones in two space dimensions characterized by a tilt parameter . By solving the linearized Boltzmann equation, we find that the broadening of the Drude pole is enhanced by , where the is interaction-induced enhancement factor. The intensity of the Drude pole is also anisotropically enhanced by . The ubiquitous “redshift” factors can be regarded as a manifestation of an underlying spacetime structure in such solids. The additional broadening that arises from the interactions cannot be obtained from a simple coordinate change and are more pronounced for electrons in a -deformed Minkowski spacetime of tilted Dirac fermions.
{"title":"Kinetic theory of tilted Dirac cone materials","authors":"A. Moradpouri , Mahdi Torabian , S.A. Jafari","doi":"10.1016/j.aop.2024.169817","DOIUrl":"10.1016/j.aop.2024.169817","url":null,"abstract":"<div><div>We formulate the Boltzmann kinetic equations for interacting electrons with tilted Dirac cones in two space dimensions characterized by a tilt parameter <span><math><mrow><mn>0</mn><mo>≤</mo><mi>ζ</mi><mo><</mo><mn>1</mn></mrow></math></span>. By solving the linearized Boltzmann equation, we find that the broadening of the Drude pole is enhanced by <span><math><mrow><mi>κ</mi><mrow><mo>(</mo><mi>ζ</mi><mo>)</mo></mrow><mo>×</mo><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>−</mo><msup><mrow><mi>ζ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow><mrow><mo>−</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup></mrow></math></span>, where the <span><math><mi>κ</mi></math></span> is interaction-induced enhancement factor. The intensity of the Drude pole is also anisotropically enhanced by <span><math><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>−</mo><msup><mrow><mi>ζ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span>. The ubiquitous “redshift” factors <span><math><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>−</mo><msup><mrow><mi>ζ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msup></math></span> can be regarded as a manifestation of an underlying spacetime structure in such solids. The additional broadening <span><math><mi>κ</mi></math></span> that arises from the interactions cannot be obtained from a simple coordinate change and are more pronounced for electrons in a <span><math><mi>ζ</mi></math></span>-deformed Minkowski spacetime of tilted Dirac fermions.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169817"},"PeriodicalIF":3.0,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-28DOI: 10.1016/j.aop.2024.169815
Diganta Parai, Suman Kumar Panja
In this study, we investigate the thermodynamics of a relativistic ideal gas within the context of -deformed space–time and Rainbow gravity background. To achieve this, we construct a modified partition function by considering a deformed Hamiltonian and incorporating corrections based on the time-invariant phase-space volume. We explore the implications of our model on the modified black body radiation spectrum and the modified Debye theory of specific heat in -deformed space–time and Rainbow gravity background.
{"title":"Non-commutative correction of ideal gas thermodynamics","authors":"Diganta Parai, Suman Kumar Panja","doi":"10.1016/j.aop.2024.169815","DOIUrl":"10.1016/j.aop.2024.169815","url":null,"abstract":"<div><div>In this study, we investigate the thermodynamics of a relativistic ideal gas within the context of <span><math><mi>κ</mi></math></span>-deformed space–time and Rainbow gravity background. To achieve this, we construct a modified partition function by considering a deformed Hamiltonian and incorporating corrections based on the time-invariant phase-space volume. We explore the implications of our model on the modified black body radiation spectrum and the modified Debye theory of specific heat in <span><math><mi>κ</mi></math></span>-deformed space–time and Rainbow gravity background.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169815"},"PeriodicalIF":3.0,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142425482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-27DOI: 10.1016/j.aop.2024.169810
Avra Banerjee, Dwipesh Majumder
We have considered a quantum droplet of two components of Bose–Einstein condensate (BEC) inside the electron of a Rydberg atom to study the surface mode of collective excitation using the Bogoliubov theory of excitation. We have calculated the surface excitation spectrum for various Rydberg electron-atom interaction strengths. From the energy spectrum, we calculated the surface tension of the droplet as a function of Rydberg electron-atom interaction strength. Our study shows that the electron-atom interaction enhances the surface energy; hence, the droplet will be more stable inside the electron of a Rydberg atom.
{"title":"Surface excitation of Rydberg dressed quantum droplet of Bose–Einstein Condensates","authors":"Avra Banerjee, Dwipesh Majumder","doi":"10.1016/j.aop.2024.169810","DOIUrl":"10.1016/j.aop.2024.169810","url":null,"abstract":"<div><div>We have considered a quantum droplet of two components of Bose–Einstein condensate (BEC) inside the electron of a Rydberg atom to study the surface mode of collective excitation using the Bogoliubov theory of excitation. We have calculated the surface excitation spectrum for various Rydberg electron-atom interaction strengths. From the energy spectrum, we calculated the surface tension of the droplet as a function of Rydberg electron-atom interaction strength. Our study shows that the electron-atom interaction enhances the surface energy; hence, the droplet will be more stable inside the electron of a Rydberg atom.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169810"},"PeriodicalIF":3.0,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142359237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-26DOI: 10.1016/j.aop.2024.169809
Alberto Escalante, Jesús Aldair Pantoja-González, Victor Julian Pérez-Aquino
The Hamiltonian analysis for the linearized gravity plus a Chern–Simons term is performed. The first-class and second-class constraints for arbitrary values of are presented, and one physical degree of freedom is reported. The second-class constraints are removed, and the corresponding generalized Dirac brackets are constructed; then, the difference between theories with different values of is remarked.
{"title":"Canonical analysis of linearized λR gravity plus a Chern–Simons term","authors":"Alberto Escalante, Jesús Aldair Pantoja-González, Victor Julian Pérez-Aquino","doi":"10.1016/j.aop.2024.169809","DOIUrl":"10.1016/j.aop.2024.169809","url":null,"abstract":"<div><div>The Hamiltonian analysis for the linearized <span><math><mrow><mi>λ</mi><mi>R</mi></mrow></math></span> gravity plus a Chern–Simons term is performed. The first-class and second-class constraints for arbitrary values of <span><math><mi>λ</mi></math></span> are presented, and one physical degree of freedom is reported. The second-class constraints are removed, and the corresponding generalized Dirac brackets are constructed; then, the difference between theories with different values of <span><math><mi>λ</mi></math></span> is remarked.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169809"},"PeriodicalIF":3.0,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142327047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-26DOI: 10.1016/j.aop.2024.169814
Suhail Khan , Shafqat Ul Islam , Sushant G. Ghosh , Sunil D. Maharaj
Interpreting the cosmological constant as the energy of the vacuum and using a gravitational decoupling approach leads to a new Kerr–anti-de Sitter (AdS) black hole. The metric of the new Kerr–AdS is more straightforward than the standard Kerr–AdS and geometrically richer, showing the rotation’s impact as a warped curvature. We investigate the relationship between the unstable photon orbits and thermodynamic phase transition to the new Kerr–AdS black hole background. We derive an exact expression for thermodynamic properties of black holes, including mass (), Hawking temperature (), entropy (), heat capacity (), and free energy (), by relating the negative cosmological constant to positive pressure through the equation , where represents the horizon radius, and by introducing its conjugate variable as the thermodynamic volume . When , black holes with exhibit stability against thermal fluctuations, while those with are unstable. Our analysis of Gibbs free energy reveals a phase transition from small globally unstable black holes to large globally stable ones. Additionally, investigating the system’s criticality and determining the critical exponents shows that our system shares similarities with a Van der Waals (vdW) fluid. In the reduced parameter space, we observe nonmonotonic behaviours of the photon sphere radius and the critical impact parameter when the pressure is below its critical value. It indicates that alterations in the photon sphere radius and the minimum impact parameter can act as order parameters for the phase transition between small and large black holes. In discussing the applicability of the Maxwell equal area law, we highlight the presence of a characteristic vdW-like oscillation in the diagram. This oscillation, denoting the phase transition from a small black hole to a large one, can be substituted by an isobar. Furthermore, we present the distribution of critical points in parameter space and derive a fitting formula for the co-existence curve.
{"title":"Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes","authors":"Suhail Khan , Shafqat Ul Islam , Sushant G. Ghosh , Sunil D. Maharaj","doi":"10.1016/j.aop.2024.169814","DOIUrl":"10.1016/j.aop.2024.169814","url":null,"abstract":"<div><div>Interpreting the cosmological constant as the energy of the vacuum and using a gravitational decoupling approach leads to a new Kerr–anti-de Sitter (AdS) black hole. The metric of the new Kerr–AdS is more straightforward than the standard Kerr–AdS and geometrically richer, showing the rotation’s impact as a warped curvature. We investigate the relationship between the unstable photon orbits and thermodynamic phase transition to the new Kerr–AdS black hole background. We derive an exact expression for thermodynamic properties of black holes, including mass (<span><math><mi>M</mi></math></span>), Hawking temperature (<span><math><mi>T</mi></math></span>), entropy (<span><math><mi>S</mi></math></span>), heat capacity (<span><math><mi>G</mi></math></span>), and free energy (<span><math><mi>G</mi></math></span>), by relating the negative cosmological constant to positive pressure through the equation <span><math><mrow><mi>P</mi><mo>=</mo><mo>−</mo><mi>Λ</mi><mo>/</mo><mn>8</mn><mi>π</mi><mo>=</mo><mn>3</mn><mo>/</mo><mn>8</mn><mi>π</mi><msup><mrow><mi>l</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span>, where <span><math><mi>l</mi></math></span> represents the horizon radius, and by introducing its conjugate variable as the thermodynamic volume <span><math><mi>V</mi></math></span>. When <span><math><mrow><mi>P</mi><mo><</mo><msub><mrow><mi>P</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>, black holes with <span><math><mrow><msub><mrow><mi>C</mi></mrow><mrow><mi>P</mi></mrow></msub><mo>></mo><mn>0</mn></mrow></math></span> exhibit stability against thermal fluctuations, while those with <span><math><mrow><msub><mrow><mi>C</mi></mrow><mrow><mi>P</mi></mrow></msub><mo>≤</mo><mn>0</mn></mrow></math></span> are unstable. Our analysis of Gibbs free energy reveals a phase transition from small globally unstable black holes to large globally stable ones. Additionally, investigating the system’s <span><math><mrow><mi>P</mi><mo>−</mo><mi>V</mi></mrow></math></span> criticality and determining the critical exponents shows that our system shares similarities with a Van der Waals (vdW) fluid. In the reduced parameter space, we observe nonmonotonic behaviours of the photon sphere radius and the critical impact parameter when the pressure is below its critical value. It indicates that alterations in the photon sphere radius and the minimum impact parameter can act as order parameters for the phase transition between small and large black holes. In discussing the applicability of the Maxwell equal area law, we highlight the presence of a characteristic vdW-like oscillation in the <span><math><mrow><mi>P</mi><mo>−</mo><mi>V</mi></mrow></math></span> diagram. This oscillation, denoting the phase transition from a small black hole to a large one, can be substituted by an isobar. Furthermore, we present the distribution of critical points in parameter space and derive a fitting formula for the co-existence curve.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169814"},"PeriodicalIF":3.0,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142359239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-24DOI: 10.1016/j.aop.2024.169813
Akash Bose
The present work deals with observational data analysis of four different models of homogeneous and isotropic Friedmann–Lemaitre–Robertson–Walker (FLRW) cosmology with torsion, where the torsion function is described by a scalar function associated with the spin of the matter. It has been found that among the four models, the third model, where the torsion function is proportional to Hubble parameter as well as power law of matter density, best fits the observational data. Further, the evolution of the torsion function reveals that torsion was subdominant relative to matter energy density during the matter-dominated era. However, torsion gradually becomes dominant following the transition into the current late-time accelerating phase. It plays a pivotal role as an alternative to dark energy, thereby accounting for the present cosmic acceleration.
{"title":"Late-time constraints on homogeneous and isotropic FLRW cosmology with torsion","authors":"Akash Bose","doi":"10.1016/j.aop.2024.169813","DOIUrl":"10.1016/j.aop.2024.169813","url":null,"abstract":"<div><div>The present work deals with observational data analysis of four different models of homogeneous and isotropic Friedmann–Lemaitre–Robertson–Walker (FLRW) cosmology with torsion, where the torsion function is described by a scalar function <span><math><mrow><mi>ϕ</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> associated with the spin of the matter. It has been found that among the four models, the third model, where the torsion function is proportional to Hubble parameter as well as power law of matter density, best fits the observational data. Further, the evolution of the torsion function reveals that torsion was subdominant relative to matter energy density during the matter-dominated era. However, torsion gradually becomes dominant following the transition into the current late-time accelerating phase. It plays a pivotal role as an alternative to dark energy, thereby accounting for the present cosmic acceleration.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169813"},"PeriodicalIF":3.0,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142323180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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