Annals of PhysicsPub Date : 2025-02-01DOI: 10.1016/j.aop.2024.169909
M. Carrasco-H , E. Contreras , E. Fuenmayor , P. León
{"title":"Hyperbolic polytrope","authors":"M. Carrasco-H , E. Contreras , E. Fuenmayor , P. León","doi":"10.1016/j.aop.2024.169909","DOIUrl":"10.1016/j.aop.2024.169909","url":null,"abstract":"<div><div>In this work, we study self-gravitating objects that obey a polytropic equation of state in hyperbolic symmetry. Specifically, we describe in detail the steps to derive the Lane-Emden equation from the structure equations of the system. To integrate the equations numerically, we propose the Cosenza-Herrera-Esculpi-Witten anisotropy and study the cases <span><math><mrow><mi>γ</mi><mo>≠</mo><mn>1</mn></mrow></math></span> and <span><math><mrow><mi>γ</mi><mo>=</mo><mn>1</mn></mrow></math></span> in the parameter space of the models. We find that the matter sector exhibits the usual and expected behavior for certain values in this parameter space: energy density (in absolute value) and radial pressure are decreasing functions and vanish at the surface, while the mass function is increasing towards the surface. We find that the anisotropy of the system is positive and decreasing, consistent with the behavior of the radial pressure, which reaches a local minimum at the surface (i.e., the pressure gradient is zero at the surface). We also study the compactness of the dense objects as a function of the polytropic index and obtain that it has an upper bound given by the maximum value it reaches for a certain <span><math><mi>n</mi></math></span>. Some extensions of the work and future proposals are discussed.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"473 ","pages":"Article 169909"},"PeriodicalIF":3.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149605","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}
Annals of PhysicsPub Date : 2025-02-01DOI: 10.1016/j.aop.2024.169894
Ali Kaya
{"title":"Time evolution in canonical quantum gravity is trivial","authors":"Ali Kaya","doi":"10.1016/j.aop.2024.169894","DOIUrl":"10.1016/j.aop.2024.169894","url":null,"abstract":"<div><div>The Wheeler–DeWitt (WdW) equation does not describe any explicit time evolution of the wave function, and somehow related to this issue, there is no natural way of defining an invariant inner product that provides a viable probability interpretation. We show that both of these difficulties are solved in a covariant canonical formulation of general relativity where the configuration space is extended by introducing the embedding coordinates as dynamical variables. The formalism describes the evolution of the wave function from one spacelike slice to another, but as in the case of spatial diffeomorphisms this is simply implemented by a coordinate change in the wave function. We demonstrate how the time evolution equation disappears after gauge fixing that removes the embedding coordinates. These findings indicate that the time evolution is trivial in a background independent formulation of quantum gravity.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"473 ","pages":"Article 169894"},"PeriodicalIF":3.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143099313","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}
Annals of PhysicsPub Date : 2025-02-01DOI: 10.1016/j.aop.2024.169886
Tayyab Naseer , G. Mustafa
{"title":"Physical validity of anisotropic models derived from isotropic fluid dynamics in f(R,T) theory: An implication of gravitational decoupling","authors":"Tayyab Naseer , G. Mustafa","doi":"10.1016/j.aop.2024.169886","DOIUrl":"10.1016/j.aop.2024.169886","url":null,"abstract":"<div><div>In this paper, we derive multiple anisotropic analogs from the established isotropic model by means of the gravitational decoupling approach in a fluid-geometry interaction based theory. To accomplish this, we initially consider a static spherical perfect-fluid configuration and then introduce a new matter source to induce anisotropic behavior in the system. The resulting field equations encapsulate the entire matter distribution and thus become much complicated. We then split these equations into two sets through implementing a particular transformation, each set delineating characteristics attributed to their original fluid sources. We adopt the Heintzmann’s ansatz and some constraints on extra gravitating source to deal with the first and second systems of equations, respectively. Furthermore, the two fundamental forms of the matching criteria are used to make the constant in the considered solution known. By utilizing the preliminary information of a star candidate LMC X-4, we assess the physical validity of the developed models. Our analysis indicates that both our models exhibit characteristics which are well-agreed with the acceptability criteria for certain parametric values.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"473 ","pages":"Article 169886"},"PeriodicalIF":3.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143099314","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}
Annals of PhysicsPub Date : 2025-02-01DOI: 10.1016/j.aop.2024.169898
David Senjaya , Supakchai Ponglertsakul
{"title":"The extreme Reissner–Nordström Black Hole: New exact solutions to the Klein–Gordon equation with minimal coupling","authors":"David Senjaya , Supakchai Ponglertsakul","doi":"10.1016/j.aop.2024.169898","DOIUrl":"10.1016/j.aop.2024.169898","url":null,"abstract":"<div><div>The omission of numerical methods to solve the Klein–Gordon equation with extremal black holes background is a well known problem. The difficulty forces the numerical investigation stop short at the near-extremal limit. In this work, we present a novel exact scalar quasibound states solutions in the extremal Reissner–Nordström black hole background. We start with the construction of the Klein–Gordon equation with minimal coupling in the extremal Reissner–Nordström black hole background and applying the separation of variables ansatz. We successfully find and present the exact solutions to the radial Klein–Gordon equation in the terms of the double confluent Heun functions. The exact eigenfrequencies expression of the scalar field bound to the extremal Reissner–Nordström black hole background, i.e., the quasibound states frequency, is subsequently determined by applying the polynomial condition to the double confluent Heun function. By utilizing the obtained exact quasibound states formula, we present an analytic proof to the nonexistence of charged scalar cloud in the extreme Reissner–Nordström black hole. And lastly, for the sake of completeness of the investigation, by utilizing the obtained exact radial wave function, we re-investigate the Hawking radiation and present a derivation to the extremal black hole horizon’s zero Hawking temperature via the Damour–Ruffini formulation.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"473 ","pages":"Article 169898"},"PeriodicalIF":3.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143149602","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}
{"title":"Discussion on the weak equivalence principle for a Schwarzschild gravitational field based on the light-clock model","authors":"Guoxu Feng , Songjuan Yu , Tianzhe Wang , Zheng Zhang","doi":"10.1016/j.aop.2024.169903","DOIUrl":"10.1016/j.aop.2024.169903","url":null,"abstract":"<div><div>Inspired by special relativity, we put forward the idea the mass of particles is an emergent phenomenon. It assumed that matter is composed by two groups of massless particles (photons) and mass results from the entanglement among them. We refer to this conjecture as the light-clock model of massive matter. The relation between the intrinsic acceleration of light and the ideal dielectric refractive index is derived from the Eikonal equation. For light in the light-clock model, the relative motion refractive index <span><math><msub><mi>n</mi><mi>r</mi></msub></math></span> and the local Schwarzschild gravitational field refractive index <span><math><msub><mi>n</mi><mi>l</mi></msub></math></span> are defined according to the Minkowski metric and the Schwarzschild metric, respectively, and are used to prove that the weak equivalence principle in Schwarzschild gravitational field is a corollary of the least action principle.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"473 ","pages":"Article 169903"},"PeriodicalIF":3.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143098964","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}
Annals of PhysicsPub Date : 2025-02-01DOI: 10.1016/j.aop.2024.169899
M.J. Luo
{"title":"Local short-time acceleration induced spectral line broadening and possible implications in cosmology","authors":"M.J. Luo","doi":"10.1016/j.aop.2024.169899","DOIUrl":"10.1016/j.aop.2024.169899","url":null,"abstract":"<div><div>The paper proposes an acceleration effect that a local short-time acceleration produces an additional broadening to spectral line, while the central value of the line remains unaffected. The effect can be considered as a local and non-uniform generalization of Unruh effect. Although the acceleration-induced line broadening effect is too small to be measured in ordinary lab setup, it may offer us a key concept to gain a simple and unified perspective on the cosmic acceleration and the radial acceleration discrepancy of rotating galaxies. We find that the measurement of the acceleration of the cosmic expansion by fitting the distance-redshift relation is essentially the measurement of the line or redshift broadening, and the cosmic acceleration induced line broadening also plays a crucial role in the acceleration discrepancy at the outskirt of rotating galaxies. Possible predictions of the effect are also discussed.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"473 ","pages":"Article 169899"},"PeriodicalIF":3.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143099312","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}
{"title":"On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows","authors":"Leonardo Balart , Grigoris Panotopoulos , Ángel Rincón","doi":"10.1016/j.aop.2024.169865","DOIUrl":"10.1016/j.aop.2024.169865","url":null,"abstract":"<div><div>We introduce two new static, spherically symmetric regular black hole solutions that can be obtained from non-linear electrodynamics models. For each solution, we investigate the dynamic stability with respect to arbitrary linear fluctuations of the metric and electromagnetic field, and also examine the energy conditions that those black holes satisfy. Moreover, based on those solutions, we present two additional ones that satisfy the Limiting Curvature Condition. Finally, we make a comparison between the two solutions exploring their null geodesics and circular photon orbits.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"473 ","pages":"Article 169865"},"PeriodicalIF":3.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143150176","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}
Annals of PhysicsPub Date : 2025-01-31DOI: 10.1016/j.aop.2025.169935
Frank Wilczek , Zara Yu
{"title":"Probability of presence versus ψ∗(x,t)ψ(x,t)","authors":"Frank Wilczek , Zara Yu","doi":"10.1016/j.aop.2025.169935","DOIUrl":"10.1016/j.aop.2025.169935","url":null,"abstract":"<div><div>Postulating the identification of <span><math><mrow><msup><mrow><mi>ψ</mi></mrow><mrow><mo>∗</mo></mrow></msup><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow><mi>ψ</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> with a physical probability density is unsatisfactory conceptually and overly limited practically. For electrons, there is a simple, calculable relativistic correction proportional to <span><math><mrow><mo>∇</mo><msup><mrow><mi>ψ</mi></mrow><mrow><mo>∗</mo></mrow></msup><mi>⋅</mi><mo>∇</mo><mi>ψ</mi></mrow></math></span>. In particular, zeroes of the wave function do not indicate vanishing probability density of presence. We derive a correction of this kind from a Lagrangian, in a form suitable for wide generalization and use in effective field theories. Thus we define a large new class of candidate models for (quasi-)particles and fields, featuring modified <em>kinetic</em> terms. We solve for the stationary states and energy spectrum in some representative problems, finding striking effects including the emergence of negative effective mass at high energy and of localization by energy.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"475 ","pages":"Article 169935"},"PeriodicalIF":3.0,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143144521","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}
Annals of PhysicsPub Date : 2025-01-31DOI: 10.1016/j.aop.2025.169944
S. Habib Mazharimousavi, Elham Poorkahnooji
{"title":"Quantum particle on the surface of a spherocylindrical capsule","authors":"S. Habib Mazharimousavi, Elham Poorkahnooji","doi":"10.1016/j.aop.2025.169944","DOIUrl":"10.1016/j.aop.2025.169944","url":null,"abstract":"<div><div>We study a spinless, nonrelativistic quantum particle confined to the curved surface of a homogeneous spherocylindrical capsule. We use Costa’s method to formulate and solve the relevant Schrödinger equation for this particle with only a confining potential, causing it to remain on the surface and free to move. We obtain the entire spectrum of the particle on the curved surface, demonstrating how the capsule’s length-to-radius ratio influences the particle’s eigenenergies and eigenfunctions.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"475 ","pages":"Article 169944"},"PeriodicalIF":3.0,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128447","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}
Annals of PhysicsPub Date : 2025-01-29DOI: 10.1016/j.aop.2025.169934
Ming-Jian Zhang , Maoyou Yang, Junmei Wang
{"title":"A kinematics-dynamics double test of Hubble tension through the Gaussian processes","authors":"Ming-Jian Zhang , Maoyou Yang, Junmei Wang","doi":"10.1016/j.aop.2025.169934","DOIUrl":"10.1016/j.aop.2025.169934","url":null,"abstract":"<div><div>Hubble tension is a key problem in cosmology, which may signal a new physics. We perform a kinematics-dynamics double test of Hubble tension through the Gaussian processes. Reconstructions under the two types of <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> priors from the current supernovae, transversal baryon acoustic oscillation, Cosmic Chronometers and strong gravitational lensing data indicate that the kinematics jerk and dynamics equation of state of dark energy are consistent with the fiducial <span><math><mi>Λ</mi></math></span>CDM model within 68% confidence level, except at some redshift interval. Importantly, we find that the latter three observational data are sensitive to the Hubble constant, which have a potential to test the Hubble tension. Unfortunately, uncertainties of the current observational data are too large to distinguish the Hubble tension. We make a forecast using the simulated supernovae and strong gravitational lensing data. The supernovae from WFIRST can present a much tighter constraint on the reconstructions. It has a large potential to test the Hubble tension.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"475 ","pages":"Article 169934"},"PeriodicalIF":3.0,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143144522","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}