Mirda Prisma Wijayanto, Fiki Taufik Akbar, Bobby Eka Gunara
{"title":"Classical solutions of higher dimensional einstein-maxwell-higgs system with nontrivial potential: global existence and completeness","authors":"Mirda Prisma Wijayanto, Fiki Taufik Akbar, Bobby Eka Gunara","doi":"10.1007/s10714-025-03430-0","DOIUrl":"10.1007/s10714-025-03430-0","url":null,"abstract":"<div><p>We study the Cauchy problem of higher dimensional Einstein-Maxwell-Higgs system in the framework of Bondi coordinates. As a first step, the problem is reduced to a single first-order integro-differential equation by defining a generalized ansatz function. Then, we employ a contraction mapping to show that there exists the unique fixed point of the problem. For a given small initial data, we prove the global existence of classical solutions. Finally, by introducing local mass and local charge functions in higher dimensions, we also show the completeness property of the solutions.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924651","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}
I. A. Sarmiento-Alvarado, Maribel Hernández-Márquez, Tonatiuh Matos
{"title":"Cosmic acceleration from topological considerations III: Lie group.","authors":"I. A. Sarmiento-Alvarado, Maribel Hernández-Márquez, Tonatiuh Matos","doi":"10.1007/s10714-025-03425-x","DOIUrl":"10.1007/s10714-025-03425-x","url":null,"abstract":"<div><p>Recent observations on the large-scale structure of the universe indicate that the cosmological constant cannot be the definitive answer to the nature of dark energy. Therefore, it is a good time to propose alternatives to understand the accelerated expansion of spacetime. In this work, we study the possibility that the accelerated expansion of spacetime is due to the topology of the universe. We assume that the topology of the universe is a principal fiber bundle, whose base space is our 4-dimensional spacetime and whose fiber is a <i>N</i>-dimensional compact semi-simple Lie group. We suppose a homogeneous and isotropic spacetime described by the Friedman-Robertson-Walker metric, and a fiber that evolves with respect to time and is endowed with a left-invariant metric. With this hypothesis, we find that these Lie groups cause an accelerated expansion of spacetime. Furthermore, we study the behavior of the deceleration parameter and the density parameters of matter and radiation.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03425-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Gravitational capture cross-section in Zipoy-Voorhees spacetimes","authors":"Serzhan Momynov, Kuantay Boshkayev, Hernando Quevedo, Farida Belissarova, Anar Dalelkhankyzy, Aliya Taukenova, Ainur Urazalina, Daniya Utepova","doi":"10.1007/s10714-025-03426-w","DOIUrl":"10.1007/s10714-025-03426-w","url":null,"abstract":"<div><p>We consider geodesics of massive and massless test particles in the gravitational field of a static and axisymmetric compact object described by the quadrupolar metric (<i>q</i>-metric), which is the simplest generalization of the Schwarzschild metric, containing an independent quadrupole parameter <i>q</i>. We analyze the effective potential profile and calculate the orbital parameters and capture cross-sections of test particles in this spacetime. Moreover, we derive the explicit expression for the escape angle of photons as a function of the quadrupole parameter. All the results reduce in the corresponding limit of vanishing quadrupole to the well-known case of the Schwarzschild spacetime. We argue that our results could be used to investigate realistic compact objects such as white dwarfs and neutron stars.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924652","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}
{"title":"Cosmic inflation from entangled qubits: a white hole model for emergent spacetime","authors":"Roger Eugene Hill","doi":"10.1007/s10714-025-03428-8","DOIUrl":"10.1007/s10714-025-03428-8","url":null,"abstract":"<div><p>This paper presents the Horizon Model (HM) of cosmology, designed to resolve the cosmological constant problem by equating the vacuum energy density with that of the observable universe. Grounded in quantum information theory, HM proposes the first element of reality emerging from the Big Bang singularity as a Planck-sized qubit. The model views the Big Bang as the opening of a white hole, with spacetime and matter/energy emerging from the event horizon. Using the Schwarzschild solution and the Holographic Principle, HM calculates the number of vacuum qubits needed to equalize densities, and compares this to published estimates of the observable universe’s Shannon entropy (S). With this information, HM can calculate the state of the vacuum as a function of S. Results at S=1 (t=0) and <span>(S=1.46times 10^{104})</span> bits (t=now) are presented. At t=0, the radius of the event horizon is predicted to be <span>(sim 10^{-26})</span> m in good agreement with the ad-hoc requirement of the current cosmic inflation paradigm. At t=now, HM predicts Hubble flow within <span>(0.8sigma )</span> of the Planck collaboration measurement and can resolve the Hubble tension with a small adjustment of the vacuum energy density. HM predictions of the vacuum pressure (<span>(sim 10^{-10})</span> Pa) are in good agreement with pressure measurements made on the lunar surface by NASA and the Chinese space program. Aligned with current research for spacetime emerging from surfaces, HM suggests new theoretical directions, potentially leading to a quantum theory of gravity.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 6","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03428-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144140271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Quantum field theory of black hole perturbations with backreaction IV: spherically symmetric 2nd order Einstein–Maxwell sector in generalised gauges","authors":"J. Neuser","doi":"10.1007/s10714-025-03423-z","DOIUrl":"10.1007/s10714-025-03423-z","url":null,"abstract":"<div><p>In previous papers of this series we analysed the reduced phase space approach to perturbations of Einstein–Maxwell theory to second order around spherically symmetric backgrounds in the Gullstrand Painlevé gauge and confirmed consistency with previous approaches. In the analysis, we defined the gauge invariant variables non-perturbatively and took backreaction effects explicitly into account. In this paper, as a non-trivial consistency check, we generalize the results and show that a similar analysis is possible for other choices of gauge for the background variables. We obtain the same structure for the reduced Hamiltonian that contains the well known Regge–Wheeler and Zerilli potentials. Possible applications of this generalization are discussed.\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 5","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03423-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144122417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Extra-Dimensional de Broglie-Bohm Quantum Cosmology","authors":"F. A. P. Alves-Júnior, A. S. Lemos, F. A. Brito","doi":"10.1007/s10714-025-03421-1","DOIUrl":"10.1007/s10714-025-03421-1","url":null,"abstract":"<div><p>In this work, we explore the de Broglie-Bohm quantum cosmology for a stiff matter, <span>(p=rho )</span>, anisotropic <i>n</i>-dimensional Universe. One begins by considering a Gaussian wave function for the Universe, which depends on the momenta parameters <span>(q_1)</span> and <span>(q_2)</span>, in addition to the dispersion parameters <span>(sigma _1)</span> and <span>(sigma _2)</span>. Our solutions show that the extra dimensions are stabilized through a dynamical compactification mechanism within the quantum cosmology framework. In this case, we find two distinct configurations for the dynamics of the extra dimensions. The first configuration features larger extra dimensions at the bounce, which subsequently undergo compactification to a smaller size. In contrast, the second configuration exhibits a smaller extra dimension at the bounce, evolving toward a larger, finite, and stabilized value. We also address the particular five-dimensional case where the Wheeler-DeWitt equation degenerates.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 5","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144122416","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}
{"title":"The Entropy of Black Holes","authors":"Robert M. Wald","doi":"10.1007/s10714-025-03417-x","DOIUrl":"10.1007/s10714-025-03417-x","url":null,"abstract":"<div><p>The remarkable connection between black holes and thermodynamics provides the most significant clues that we currently possess to the nature of black holes in a quantum theory of gravity. The key clue is the formula for the entropy of a black hole. I briefly review some recent work that provides an expression for a dynamical correction to the entropy of a black hole and briefly discuss some of the implications of this new formula for entropy.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 5","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03417-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Addressing the so called quantum/classical “divide” in gravitational contexts, and its implications in cosmology","authors":"Rosa-Laura Lechuga-Solis, Daniel Sudarsky","doi":"10.1007/s10714-025-03420-2","DOIUrl":"10.1007/s10714-025-03420-2","url":null,"abstract":"<div><p>The manner in which one approaches the interface between gravitation and quantum theory is influenced by one’s posture regarding quantum mechanics and the issues that revolve about its interpretational problems. We discuss here the way in which these issues occur in the inflationary cosmology setting, the serious confusions that ensue, and one path that we have used to deal with the problem which perhaps surprisingly ends up, not just offering a conceptually clear physical picture, but also modifying some of the standard observational predictions of the inflationary approach.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 5","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03420-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144091058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Fractional Einstein field equations in (2+1) dimensional spacetime","authors":"E. Contreras, A. Di Teodoro, M. Mena","doi":"10.1007/s10714-025-03419-9","DOIUrl":"10.1007/s10714-025-03419-9","url":null,"abstract":"<div><p>In this work, we introduce a new fractional derivative that modifies the conventional Riemann-Liouville operator to obtain a set of fractional Einstein field equations within a 2+1 dimensional spacetime by assuming a static and circularly symmetric metric. The main reason for introducing this new derivative stems from addressing the divergence encountered during the construction of Christoffel symbols when using the Caputo operator and the appearance of unwanted terms when using the Riemann-Liouville derivative because of the well-known fact that its action on constants does not vanish, as expected. The key innovation of the new operator ensures that the derivative of a constant is zero. As a particular application, we explore whether the Bañados-Teitelboim-Zanelli black hole metric is a solution to fractional Einstein equations. Our results reveal that for values of the fractional parameter close to one, the effective matter sector corresponds to a charged BTZ solution with an anisotropic cosmological constant.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 5","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03419-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144084860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
Christian Peterson, Edgar Gasperín, Alex Vañó-Viñuales
{"title":"Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime","authors":"Christian Peterson, Edgar Gasperín, Alex Vañó-Viñuales","doi":"10.1007/s10714-025-03415-z","DOIUrl":"10.1007/s10714-025-03415-z","url":null,"abstract":"<div><p>Numerical evolutions of a system of equations close to null infinity in the geometric background of the <i>inversion-Minkowski spacetime</i> are performed. The evolved equations correspond to the linearisation of a second order metric formulation of the conformal Einstein field equations (CEFEs). These linear equations were first presented in [1] and the main purpose of this paper is to illustrate, through numerical evolutions, the scri-fixing technique via gauge source functions introduced [1] for the linearised CEFEs. A comparison of evolutions using scri-fixing gauge sources and trivial gauge source function in spherical and axial symmetry is presented.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 5","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03415-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144066904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}