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Hyperboloidal initial data without logarithmic singularities 无对数奇点的双曲面初始数据
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-06-05 DOI: 10.1007/s10714-025-03424-y
Károly Csukás, István Rácz
{"title":"Hyperboloidal initial data without logarithmic singularities","authors":"Károly Csukás,&nbsp;István Rácz","doi":"10.1007/s10714-025-03424-y","DOIUrl":"10.1007/s10714-025-03424-y","url":null,"abstract":"<div><p>Andersson and Chruściel showed that generic asymptotically hyperboloidal initial data sets admit polyhomogeneous expansions, and that only a non-generic subclass of solutions of the conformal constraint equations is free of logarithmic singularities. The purpose of this work is twofold. First, within the evolutionary framework of the constraint equations, we show that the existence of a well-defined Bondi mass brings the asymptotically hyperboloidal initial data sets into a subclass whose Cauchy development guaranteed to admit a smooth boundary, by virtue of the results of Andersson and Chruściel. Second, by generalizing a recent result of Beyer and Ritchie, we show that the existence of well-defined Bondi mass and angular momentum, together with some mild restrictions on the free data, implies that the generic solutions of the parabolic-hyperbolic form of the constraint equations are completely free of logarithmic singularities. We also provide numerical evidence to show that in the vicinity of Kerr, asymptotically hyperboloidal initial data without logarithmic singularities can indeed be constructed.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03424-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924646","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}
引用次数: 0
Onset of dark energy from cosmological scalarization and gravitational wave speed 暗能量从宇宙尺度化和引力波速度开始
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-06-04 DOI: 10.1007/s10714-025-03431-z
H. Mohseni Sadjadi
{"title":"Onset of dark energy from cosmological scalarization and gravitational wave speed","authors":"H. Mohseni Sadjadi","doi":"10.1007/s10714-025-03431-z","DOIUrl":"10.1007/s10714-025-03431-z","url":null,"abstract":"<div><p>This study investigates the emergence of dark energy during the matter-dominated era through spontaneous cosmological scalarization in the scalar-Ricci-Gauss-Bonnet model. Our model aligns with the conjecture that the speed of gravitational waves at low redshifts is nearly equal to the speed of light, implying that the Gauss-Bonnet invariant does not directly contribute to late-time acceleration and suggesting that scalarization begins in the radiation-dominated era. The Gauss-Bonnet coupling stabilizes the quintessence field at an initial fixed point with negligible dark energy density during the radiation era. As the Universe expands, the Ricci coupling induces a tachyonic transition in the quintessence field, driving the evolution of dark energy.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924648","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}
引用次数: 0
Dynamics of geometric invariants in the asymptotically hyperboloidal setting: energy and linear momentum 渐近双曲环境中几何不变量的动力学：能量和线性动量
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-06-03 DOI: 10.1007/s10714-025-03427-9
Anna Sancassani, Saradha Senthil Velu
{"title":"Dynamics of geometric invariants in the asymptotically hyperboloidal setting: energy and linear momentum","authors":"Anna Sancassani,&nbsp;Saradha Senthil Velu","doi":"10.1007/s10714-025-03427-9","DOIUrl":"10.1007/s10714-025-03427-9","url":null,"abstract":"<div><p>We investigate the evolution of geometric invariants, as defined by Michel [1], in the context of asymptotically hyperboloidal initial data sets. Our focus lies on the charges of energy and linear momentum, and we study their behavior under the Einstein evolution equations. We construct foliations describing the evolution of asymptotically hyperboloidal initial data sets using hyperboloidal time function. We define E-P chargeability as a property of the initial data set, and we show that it is preserved under the evolution for our choice of time function. This ensures that the charges are well-defined along the evolution, which is crucial for our approach. Along such foliations, we recover the same energy-loss and linear momentum-loss formulae as those derived by Bondi, Sachs, and Metzner [2] while operating under weaker asymptotic assumptions. Our approach is distinct from previous work as we do not utilize conformal compactifications and work directly at the level of the initial data set.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03427-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924649","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}
引用次数: 0
Classical solutions of higher dimensional einstein-maxwell-higgs system with nontrivial potential: global existence and completeness 具有非平凡势的高维einstein-maxwell-higgs系统的经典解：整体存在性和完备性
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-05-30 DOI: 10.1007/s10714-025-03430-0
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,&nbsp;Fiki Taufik Akbar,&nbsp;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}
引用次数: 0
Cosmic acceleration from topological considerations III: Lie group. 从拓扑考虑的宇宙加速III：李群。
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-05-30 DOI: 10.1007/s10714-025-03425-x
I. A. Sarmiento-Alvarado, Maribel Hernández-Márquez, Tonatiuh Matos
{"title":"Cosmic acceleration from topological considerations III: Lie group.","authors":"I. A. Sarmiento-Alvarado,&nbsp;Maribel Hernández-Márquez,&nbsp;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}
引用次数: 0
Gravitational capture cross-section in Zipoy-Voorhees spacetimes Zipoy-Voorhees时空的引力俘获截面
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-05-28 DOI: 10.1007/s10714-025-03426-w
Serzhan Momynov, Kuantay Boshkayev, Hernando Quevedo, Farida Belissarova, Anar Dalelkhankyzy, Aliya Taukenova, Ainur Urazalina, Daniya Utepova
{"title":"Gravitational capture cross-section in Zipoy-Voorhees spacetimes","authors":"Serzhan Momynov,&nbsp;Kuantay Boshkayev,&nbsp;Hernando Quevedo,&nbsp;Farida Belissarova,&nbsp;Anar Dalelkhankyzy,&nbsp;Aliya Taukenova,&nbsp;Ainur Urazalina,&nbsp;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}
引用次数: 0
Cosmic inflation from entangled qubits: a white hole model for emergent spacetime 纠缠量子位的宇宙膨胀：新兴时空的白洞模型
IF 2.1 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-05-27 DOI: 10.1007/s10714-025-03428-8
Roger Eugene Hill
{"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}
引用次数: 0
Quantum field theory of black hole perturbations with backreaction IV: spherically symmetric 2nd order Einstein–Maxwell sector in generalised gauges 带反作用的黑洞微扰量子场论IV：广义量规中球对称二阶爱因斯坦-麦克斯韦扇区
IF 2.1 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-05-23 DOI: 10.1007/s10714-025-03423-z
J. Neuser
{"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}
引用次数: 0
Extra-Dimensional de Broglie-Bohm Quantum Cosmology 超维德布罗意-玻姆量子宇宙学
IF 2.1 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-05-23 DOI: 10.1007/s10714-025-03421-1
F. A. P. Alves-Júnior, A. S. Lemos, F. A. Brito
{"title":"Extra-Dimensional de Broglie-Bohm Quantum Cosmology","authors":"F. A. P. Alves-Júnior,&nbsp;A. S. Lemos,&nbsp;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}
引用次数: 0
The Entropy of Black Holes 黑洞的熵
IF 2.1 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-05-20 DOI: 10.1007/s10714-025-03417-x
Robert M. Wald
{"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}
引用次数: 0
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