Pub Date : 2024-08-20DOI: 10.1007/s10773-024-05732-6
Zeynab Bozorgtabar, Saeid Paktinat Mehdiabadi
Since the SM Higgs boson, h, is the superposition of two unequal-mass neutral Higgs bosons in 2HDM, therefore the associated production cross section for h and Z in SM and 2HDM can be different. In this paper, the possibility of using this difference to discover or constrain 2HDM is studied. As a main result, the allowed parameter space of 2HDM type-II is found in the light of possible precise measurements from the LHC experiments. It is shown that combination of the constraints from these measurements with the previous constraints on 2HDM, from direct search and flavour physics, can rule out the main part of the 2HDM parameter space.
由于 SM 希格斯玻色子 h 是 2HDM 中两个不等质量中性希格斯玻色子的叠加,因此在 SM 和 2HDM 中 h 和 Z 的相关产生截面可能不同。本文研究了利用这种差异发现或约束 2HDM 的可能性。主要结果是,根据大型强子对撞机实验可能进行的精确测量,找到了 2HDM II 型的允许参数空间。结果表明,将这些测量结果的约束与先前直接搜索和味道物理对2HDM的约束结合起来,可以排除2HDM参数空间的主要部分。
{"title":"Zh Production, a Tool to Constrain 2HDM","authors":"Zeynab Bozorgtabar, Saeid Paktinat Mehdiabadi","doi":"10.1007/s10773-024-05732-6","DOIUrl":"https://doi.org/10.1007/s10773-024-05732-6","url":null,"abstract":"<p>Since the SM Higgs boson, h, is the superposition of two unequal-mass neutral Higgs bosons in 2HDM, therefore the associated production cross section for h and Z in SM and 2HDM can be different. In this paper, the possibility of using this difference to discover or constrain 2HDM is studied. As a main result, the allowed parameter space of 2HDM type-II is found in the light of possible precise measurements from the LHC experiments. It is shown that combination of the constraints from these measurements with the previous constraints on 2HDM, from direct search and flavour physics, can rule out the main part of the 2HDM parameter space.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-08-20DOI: 10.1007/s10773-024-05745-1
Muhammad Musadiq
We investigated the quantum speed limit (QSL) time of a spin qubit coupled to an XXZ Heisenberg spin chain environment. The spins of the environment are coupled to the system qubit through Heisenberg like interaction. We carried out our investigations under approximate solution and we evaluate the minimal evolution time from initial state to one of its final target state. QSL time becomes uniform in the low temperature limit and at higher temperature different oscillatory behaviors are observed. Maximal speed of evolution of quantum systems is determined by QSL time. We use Margolus-Levitin (ML) types bound to investigate the minimal evolution time of quantum states. We also discuss the dependence of QSL time upon temperature, driving time and anisotropy of spin chain environment.
{"title":"Quantum Speed Limit Time of A Spin Qubit Coupled With Heisenberg Spin Environment","authors":"Muhammad Musadiq","doi":"10.1007/s10773-024-05745-1","DOIUrl":"https://doi.org/10.1007/s10773-024-05745-1","url":null,"abstract":"<p>We investigated the quantum speed limit (QSL) time of a spin qubit coupled to an <i>XXZ</i> Heisenberg spin chain environment. The spins of the environment are coupled to the system qubit through Heisenberg like interaction. We carried out our investigations under approximate solution and we evaluate the minimal evolution time from initial state to one of its final target state. QSL time becomes uniform in the low temperature limit and at higher temperature different oscillatory behaviors are observed. Maximal speed of evolution of quantum systems is determined by QSL time. We use Margolus-Levitin (ML) types bound to investigate the minimal evolution time of quantum states. We also discuss the dependence of QSL time upon temperature, driving time and anisotropy of spin chain environment.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-08-20DOI: 10.1007/s10773-024-05749-x
Jan Govaerts
The standard proposal within the context of General relativity and its weak field Newtonian limit for the nature of dark matter is that it consists of dark matter particles of unknown type. In the present work and specifically for spiral galaxy rotation curves, an alternative possibility is explored, in the form of an axially symmetric vortex mass distribution of finite extent threading the centre of the galaxy and perpendicular to its disk. Some general considerations are developed and characteristic properties are identified, pointing to the potential interest of such an alternative to be studied in earnest.
{"title":"Newtonian Gravity and Galaxy Rotation Curves: An Axisymmetric Green’s Function Perspective","authors":"Jan Govaerts","doi":"10.1007/s10773-024-05749-x","DOIUrl":"https://doi.org/10.1007/s10773-024-05749-x","url":null,"abstract":"<p>The standard proposal within the context of General relativity and its weak field Newtonian limit for the nature of dark matter is that it consists of dark matter particles of unknown type. In the present work and specifically for spiral galaxy rotation curves, an alternative possibility is explored, in the form of an axially symmetric vortex mass distribution of finite extent threading the centre of the galaxy and perpendicular to its disk. Some general considerations are developed and characteristic properties are identified, pointing to the potential interest of such an alternative to be studied in earnest.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-08-19DOI: 10.1007/s10773-024-05736-2
L. Sartori
A new wave of relativistic nature is derived from the classical Hamilton-Jacobi equation on a curved space-time. The gravitational time dilation in the neighbourhood of an almost point-like mass is responsible for its existence. In order to obtain such type of wave (interpretable as a matter field), one has to resort to an old idea due to de Broglie according to which the physical ({textbf {3}})-dimensional space behaves as if it were covered with an infinity of clocks. The resulting particle field, that propagates in the physical ({textbf {3}})-dimensional space and is due to the interaction with the (classic) gravitational field of the mass, is shown to be associated with the usual scalar particle wave function of quantum mechanics. Therefore, the model here described, by linking Einstein’s general relativity to the wave-like behaviour of particles via the viewpoint of de Broglie’s Double Solution Theory rather than via the standard mechanisms of field quantisation, provides a new approach to quantum gravity. Finally, it is shown that this model provides a new interpretation of the single-particle interference and explains non-locality in terms of a novel quantum communication channel.
{"title":"Relativistic Nature of Wave-particle Duality","authors":"L. Sartori","doi":"10.1007/s10773-024-05736-2","DOIUrl":"https://doi.org/10.1007/s10773-024-05736-2","url":null,"abstract":"<p>A new wave of relativistic nature is derived from the classical Hamilton-Jacobi equation on a curved space-time. The gravitational time dilation in the neighbourhood of an almost point-like mass is responsible for its existence. In order to obtain such type of wave (interpretable as a matter field), one has to resort to an old idea due to de Broglie according to which the physical <span>({textbf {3}})</span>-dimensional space behaves as if it were covered with an infinity of clocks. The resulting particle field, that propagates in the physical <span>({textbf {3}})</span>-dimensional space and is due to the interaction with the (classic) gravitational field of the mass, is shown to be associated with the usual scalar particle wave function of quantum mechanics. Therefore, the model here described, by linking Einstein’s general relativity to the wave-like behaviour of particles via the viewpoint of de Broglie’s Double Solution Theory rather than via the standard mechanisms of field quantisation, provides a new approach to quantum gravity. Finally, it is shown that this model provides a new interpretation of the single-particle interference and explains non-locality in terms of a novel quantum communication channel.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-08-17DOI: 10.1007/s10773-024-05739-z
Uzma Gul, Ahmad Tawfik Ali, Suhail Khan, Ahmad H. Alkasasbeh
This paper investigates the Ricci solitons of a sub-class of Bianchi type-I spacetimes in f(T) theory of gravity in the presence of perfect fluid. It is found that special sub-classes of perfect fluid Bianchi type-I metrics admit steady, shrinking and expanding Ricci solitons. To tackle the problem, RS equations are explored along with their integrability conditions. Field equations in f(T) theory are derived for the spacetime metric. By solving the field equations we derived general form for f(T). Ricci soliton equations and field equations are solved simultaneously to explore the corresponding Ricci soliton vector fields. We found Ricci soliton vector fields of dimension 4, 5, 6, 7, 8, 10 and 11. In some cases the corresponding metrics are Einstein metrics while in other cases non-Einstein metrics are also obtained which admit Ricci soliton vector fields. The physical quantities (rho ), p, T and f(T) related to each solution are also calculated. Another interesting aspect of our results is that we obtained some non-linear f(T) functions for which field equations possess solutions and those solutions admit Ricci soliton vector fields.
本文研究了存在完美流体的引力 f(T) 理论中的一类比安奇 I 型空间的里奇孤子。研究发现,完全流体 Bianchi I 型度量的特殊子类会产生稳定、收缩和膨胀的里奇孤子。为了解决这个问题,我们探讨了RS方程及其可积分性条件。在 f(T) 理论中导出了时空度量的场方程。通过求解场方程,我们得出了 f(T) 的一般形式。同时求解利玛窦孤子方程和场方程,以探索相应的利玛窦孤子矢量场。我们发现了 4、5、6、7、8、10 和 11 维的利玛窦孤子矢量场。在某些情况下,相应的度量是爱因斯坦度量,而在另一些情况下,也得到了允许利玛窦孤子矢量场的非爱因斯坦度量。与每个解相关的物理量(rho )、p、T和f(T)也被计算出来。我们的结果还有一个有趣的方面,那就是我们得到了一些非线性的 f(T) 函数,这些函数的场方程都有解,而且这些解都包含利玛窦孤子矢量场。
{"title":"Ricci Soliton Vector Fields of a Sub-Class of Perfect Fluid Bianchi Type-I Spacetimes in f(T) Theory of Gravity","authors":"Uzma Gul, Ahmad Tawfik Ali, Suhail Khan, Ahmad H. Alkasasbeh","doi":"10.1007/s10773-024-05739-z","DOIUrl":"https://doi.org/10.1007/s10773-024-05739-z","url":null,"abstract":"<p>This paper investigates the <i>Ricci solitons</i> of a sub-class of Bianchi type-I spacetimes in <i>f</i>(<i>T</i>) theory of gravity in the presence of perfect fluid. It is found that special sub-classes of perfect fluid Bianchi type-I metrics admit steady, shrinking and expanding Ricci solitons. To tackle the problem, RS equations are explored along with their integrability conditions. Field equations in <i>f</i>(<i>T</i>) theory are derived for the spacetime metric. By solving the field equations we derived general form for <i>f</i>(<i>T</i>). Ricci soliton equations and field equations are solved simultaneously to explore the corresponding Ricci soliton vector fields. We found Ricci soliton vector fields of dimension 4, 5, 6, 7, 8, 10 and 11. In some cases the corresponding metrics are Einstein metrics while in other cases non-Einstein metrics are also obtained which admit Ricci soliton vector fields. The physical quantities <span>(rho )</span>, <i>p</i>, <i>T</i> and <i>f</i>(<i>T</i>) related to each solution are also calculated. Another interesting aspect of our results is that we obtained some non-linear <i>f</i>(<i>T</i>) functions for which field equations possess solutions and those solutions admit Ricci soliton vector fields.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-08-16DOI: 10.1007/s10773-024-05744-2
A. O. Dhore, M. R. Ugale
This article explores the analysis of modified holographic Ricci dark energy (MHRDE) in the context of (varvec{f(T)}) theory of gravity, with a focus on the validity of thermodynamics for homogenous and isotropic Friedmann-Robertson-Walker (FRW) universe by using hybrid expansion law (HEL) represented as (varvec{a(t)} varvec{=} varvec{e}^{varvec{mt}} varvec{t}^{varvec{n}}), where (varvec{m, n}) are constants. The study investigates the dynamics of the accelerating universe across the established (varvec{f(T)}) model, (varvec{f(T)} varvec{=} varvec{xi }_{varvec{1}} varvec{T} varvec{+} varvec{xi }_{varvec{2}} varvec{T}^{varvec{xi }_{varvec{3}}} varvec{log } varvec{T}), where (varvec{xi }_{varvec{1}}varvec{,} varvec{xi }_{varvec{2}}varvec{,} varvec{xi }_{varvec{3}}) are constants. The fundamental equations of thermodynamics features of the model have been deliberated. Additionally, the entropy density and temperature of the model are determined. We use the energy conditions in our solutions to identify a range of values for free parameters of the model, ensuring a stable and well-behaved scenario. Furthermore, a detailed examination of the physical and geometrical characteristics of the model has been conducted.
{"title":"Study of f(T) Theory of Gravity in the Framework of Modified Holographic Ricci Dark Energy with Thermodynamical Aspects","authors":"A. O. Dhore, M. R. Ugale","doi":"10.1007/s10773-024-05744-2","DOIUrl":"https://doi.org/10.1007/s10773-024-05744-2","url":null,"abstract":"<p>This article explores the analysis of modified holographic Ricci dark energy (MHRDE) in the context of <span>(varvec{f(T)})</span> theory of gravity, with a focus on the validity of thermodynamics for homogenous and isotropic Friedmann-Robertson-Walker (FRW) universe by using hybrid expansion law (HEL) represented as <span>(varvec{a(t)} varvec{=} varvec{e}^{varvec{mt}} varvec{t}^{varvec{n}})</span>, where <span>(varvec{m, n})</span> are constants. The study investigates the dynamics of the accelerating universe across the established <span>(varvec{f(T)})</span> model, <span>(varvec{f(T)} varvec{=} varvec{xi }_{varvec{1}} varvec{T} varvec{+} varvec{xi }_{varvec{2}} varvec{T}^{varvec{xi }_{varvec{3}}} varvec{log } varvec{T})</span>, where <span>(varvec{xi }_{varvec{1}}varvec{,} varvec{xi }_{varvec{2}}varvec{,} varvec{xi }_{varvec{3}})</span> are constants. The fundamental equations of thermodynamics features of the model have been deliberated. Additionally, the entropy density and temperature of the model are determined. We use the energy conditions in our solutions to identify a range of values for free parameters of the model, ensuring a stable and well-behaved scenario. Furthermore, a detailed examination of the physical and geometrical characteristics of the model has been conducted.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-08-16DOI: 10.1007/s10773-024-05742-4
Jie Cui, Ming-Jing Zhao
We study the transformation between quantum states under incoherent operations and unitary incoherent operations. In high dimensional systems, we show any two pure states can be transformed into each other under incoherent operations if and only if they can be transformed into each other under unitary incoherent operations. For mixed states, we show any two incoherent states can be transformed into each other under incoherent operations. Furthermore, we show any incoherent states can be transformed by any mixed states under incoherent operations. In qubit systems, we prove the necessary and sufficient condition for the transformation between any two mixed states by incoherent operations alternatively and obtain the corresponding incoherent operations. Moreover we prove any two mixed qubit states with nonzero coherence can be transformed into each other under incoherent operations if and only if they can be transformed into each other under unitary incoherent operations.
{"title":"The Transformation of Quantum States in Coherence Theory","authors":"Jie Cui, Ming-Jing Zhao","doi":"10.1007/s10773-024-05742-4","DOIUrl":"https://doi.org/10.1007/s10773-024-05742-4","url":null,"abstract":"<p>We study the transformation between quantum states under incoherent operations and unitary incoherent operations. In high dimensional systems, we show any two pure states can be transformed into each other under incoherent operations if and only if they can be transformed into each other under unitary incoherent operations. For mixed states, we show any two incoherent states can be transformed into each other under incoherent operations. Furthermore, we show any incoherent states can be transformed by any mixed states under incoherent operations. In qubit systems, we prove the necessary and sufficient condition for the transformation between any two mixed states by incoherent operations alternatively and obtain the corresponding incoherent operations. Moreover we prove any two mixed qubit states with nonzero coherence can be transformed into each other under incoherent operations if and only if they can be transformed into each other under unitary incoherent operations.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209459","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-08-15DOI: 10.1007/s10773-024-05743-3
A. Boumali, A. Hamla, Y. Chargui
This paper is devoted to calculating the Fisher and Shannon information parameters of the Feshbach-Villars oscillator (FVO) for spin-0 particles. Instead of the Klein-Gordon equation, the Feshbach-Villars formalism provides a positive probability density. By determining Fisher information and Shannon entropy, we assess the sensitivity of probability distributions to parameter changes and the degree of uncertainty. Our research provides insights into the dynamics and information-theoretic characteristics of spin-0 particles in both spatial and momentum configurations. This work advances our understanding of the quantum information properties of spin-0 particles and lays the groundwork for future developments in quantum computing and information theory. Finally, the Stam, Cramer–Rao, and Bialynicki–Birula–Mycielski (BBM) inequalities have been verified, and we demonstrated that the BBM inequality remains valid in the form (S_{x}+S_{p}ge 1+ln pi ), consistent with ordinary quantum mechanics.
本文致力于计算零自旋粒子费什巴赫-维拉斯振荡器(FVO)的费雪和香农信息参数。费什巴赫-维拉斯形式主义提供了一个正概率密度,而不是克莱因-戈登方程。通过确定费雪信息和香农熵,我们评估了概率分布对参数变化和不确定性程度的敏感性。我们的研究为自旋-0 粒子在空间和动量构型中的动力学和信息论特征提供了见解。这项工作推进了我们对自旋-0 粒子量子信息特性的理解,并为量子计算和信息论的未来发展奠定了基础。最后,我们验证了斯塔姆不等式、克拉默-拉奥不等式和比利亚里尼基-比鲁拉-米歇尔斯基(BBM)不等式,并证明了 BBM 不等式在 (S_{x}+S_{p}ge 1+ln pi ) 形式下仍然有效,这与普通量子力学是一致的。
{"title":"Determination of Shannon entropy and Fisher information of the Feshbach-Villars oscillator for spin-0 particles","authors":"A. Boumali, A. Hamla, Y. Chargui","doi":"10.1007/s10773-024-05743-3","DOIUrl":"https://doi.org/10.1007/s10773-024-05743-3","url":null,"abstract":"<p>This paper is devoted to calculating the Fisher and Shannon information parameters of the Feshbach-Villars oscillator (FVO) for spin-0 particles. Instead of the Klein-Gordon equation, the Feshbach-Villars formalism provides a positive probability density. By determining Fisher information and Shannon entropy, we assess the sensitivity of probability distributions to parameter changes and the degree of uncertainty. Our research provides insights into the dynamics and information-theoretic characteristics of spin-0 particles in both spatial and momentum configurations. This work advances our understanding of the quantum information properties of spin-0 particles and lays the groundwork for future developments in quantum computing and information theory. Finally, the Stam, Cramer–Rao, and Bialynicki–Birula–Mycielski (BBM) inequalities have been verified, and we demonstrated that the BBM inequality remains valid in the form <span>(S_{x}+S_{p}ge 1+ln pi )</span>, consistent with ordinary quantum mechanics.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-08-15DOI: 10.1007/s10773-024-05737-1
Zainab Malik
We compute quasinormal modes of test fields around spherically symmetric black holes with a global monopole in bumblebee gravity. The frequency of oscillation and the damping rate exhibit significant decreasing as the global monopole parameter is increased. An intriguing observation arises in the extreme limit, where the quasinormal modes manifest a form of universal behavior: the actual oscillation frequency remains unaltered despite variations in the Lorentz symmetry breaking (LSB) parameter. Our calculations are conducted through two distinct methods, both of which yield results that align remarkably well. Furthermore, we derive an analytical formula for quasinormal modes within the eikonal approximation and beyond it. In the limits of either vanishing deficit angle or bumblebee parameters, the compact and sufficiently accurate analytic expressions for quasinormal modes are obtained.
{"title":"Quasinormal Modes of the Bumblebee Black Holes with a Global Monopole","authors":"Zainab Malik","doi":"10.1007/s10773-024-05737-1","DOIUrl":"https://doi.org/10.1007/s10773-024-05737-1","url":null,"abstract":"<p>We compute quasinormal modes of test fields around spherically symmetric black holes with a global monopole in bumblebee gravity. The frequency of oscillation and the damping rate exhibit significant decreasing as the global monopole parameter is increased. An intriguing observation arises in the extreme limit, where the quasinormal modes manifest a form of universal behavior: the actual oscillation frequency remains unaltered despite variations in the Lorentz symmetry breaking (LSB) parameter. Our calculations are conducted through two distinct methods, both of which yield results that align remarkably well. Furthermore, we derive an analytical formula for quasinormal modes within the eikonal approximation and beyond it. In the limits of either vanishing deficit angle or bumblebee parameters, the compact and sufficiently accurate analytic expressions for quasinormal modes are obtained.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-08-15DOI: 10.1007/s10773-024-05723-7
Alexander P. Sobolev, Aleksey Sobolev
This paper considers a set of equations describing the static isotropic gravitational field of a macroscopic body within the framework of the theory of gravity with a constraint. It is shown that for any static solid body, the energy of the gravitational field created by it is equal in magnitude to its rest energy, and the energy density defined in this theory is positive everywhere. A general approximate solution of the gravitational field equations is obtained. A nonsingular solution exists only at certain values for the three integration constants. The out-of-body metric coincides with the Schwarzschild metric, but unlike the general relativity theory (GR), the curvature tensor invariants have a certain finite value everywhere. It is claimed that a generally covariant theory of gravity, constructed on the basis of GR, is not physical since it violates the principle of material unity of the world.
{"title":"Foundations of the Theory of Gravity with a Constraint. Gravitational Energy of Macroscopic Bodies","authors":"Alexander P. Sobolev, Aleksey Sobolev","doi":"10.1007/s10773-024-05723-7","DOIUrl":"https://doi.org/10.1007/s10773-024-05723-7","url":null,"abstract":"<p>This paper considers a set of equations describing the static isotropic gravitational field of a macroscopic body within the framework of the theory of gravity with a constraint. It is shown that for any static solid body, the energy of the gravitational field created by it is equal in magnitude to its rest energy, and the energy density defined in this theory is positive everywhere. A general approximate solution of the gravitational field equations is obtained. A nonsingular solution exists only at certain values for the three integration constants. The out-of-body metric coincides with the Schwarzschild metric, but unlike the general relativity theory (GR), the curvature tensor invariants have a certain finite value everywhere. It is claimed that a generally covariant theory of gravity, constructed on the basis of GR, is not physical since it violates the principle of material unity of the world.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}