General Relativity and Gravitation最新文献

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Quantum entanglement as a (mathcal{P}mathcal{T})-symmetric identification in a bimetric spacetime Quantum entanglement as a PTdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathcal{P}mathcal{T}$$end{document}-symmetric identification in a bimetric spacetime
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-23 DOI: 10.1007/s10714-026-03529-y
Hicham Zejli
{"title":"Quantum entanglement as a (mathcal{P}mathcal{T})-symmetric identification in a bimetric spacetime","authors":"Hicham Zejli","doi":"10.1007/s10714-026-03529-y","DOIUrl":"10.1007/s10714-026-03529-y","url":null,"abstract":"<div><p>Quantum entanglement, the deep correlation between spatially separated particles, poses conceptual challenges for reconciling quantum nonlocality with relativity. A promising route to a geometric reading is the ER = <span>(mathcal {EPR})</span> conjecture (Maldacena and Susskind), according to which an entangled pair may be connected by an Einstein–Rosen bridge (a wormhole), rendering entanglement a topological effect of spacetime. In the <span>(mathcal{P}mathcal{T})</span>-symmetric wormhole framework considered here, two distinct spacetime sheets, denoted <span>(mathcal {M}_+)</span> and <span>(mathcal {M}_-)</span>, are identified at the throat <span>(r=alpha )</span> through a <span>(mathcal{P}mathcal{T})</span> symmetry combining time reversal <span>((mathcal {T}: t rightarrow -t))</span> and spatial parity <span>((mathcal {P}: vec {x} rightarrow -vec {x}))</span>. We demonstrate that quantum entanglement can be understood as the geometric manifestation of a topological identification between a point <span>(P in mathcal {M}_+)</span> and its twin <span>(P' in mathcal {M}_-)</span>, thereby providing a natural realization of <span>(mathcal {EPR})</span>-type correlations within a causally consistent framework: relativistic causality is preserved (no superluminal signaling), while correlations violating Bell inequalities (Bell nonlocality) admit an interpretation as an inter-sheet geometric connection.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147507937","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
Thermodynamic topology and photon spheres analysis of black holes in brane-world: insights from Barrow entropy 膜世界中黑洞的热力学拓扑和光子球分析:来自巴罗熵的见解
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-22 DOI: 10.1007/s10714-026-03534-1
Usman Zafar, Abdul Jawad, Kazuharu Bamba, Mohammad Ali S. Afshar, Mohammad Reza Alipour, Saeed Noori Gashti, Jafar Sadeghi
{"title":"Thermodynamic topology and photon spheres analysis of black holes in brane-world: insights from Barrow entropy","authors":"Usman Zafar,&nbsp;Abdul Jawad,&nbsp;Kazuharu Bamba,&nbsp;Mohammad Ali S. Afshar,&nbsp;Mohammad Reza Alipour,&nbsp;Saeed Noori Gashti,&nbsp;Jafar Sadeghi","doi":"10.1007/s10714-026-03534-1","DOIUrl":"10.1007/s10714-026-03534-1","url":null,"abstract":"<div><p>We explore the thermodynamics and geothermodynamics of black holes with the Barrow entropy in a brane-world scenario, where the horizon geometry of the black hole is regarded as a fractal structure. Our analysis reveals the behavior of heat capacity, identifying both bound and divergence points. For the Bekenstein-Hawking entropy, the divergence point exhibits smooth behavior, indicating no phase transition. In contrast, we observe divergence with Barrow entropy as the deformation parameter increases, confirming the presence of a zero point in heat capacity through various thermodynamic geometry formalisms. Additionally, we delve into thermodynamic topology, detailing the classification of black holes in the brane-world context and comparing their characteristics determined from the Bekenstein-Hawking and the Barrow entropy. Notably, fixing the deformation and cosmological parameters results in a topological charge <span>(-1)</span> predominately by the dark matter parameter, which remains unaffected despite variations in other parameters. In the dS model, the cosmological horizon prevents stable photon spheres, making topological charges of 0 and <span>(+1)</span> unattainable. Incremental increases in the cosmological parameter reduce the dark matter parameter-dominated region.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03534-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147507938","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
Geometric origin of a stable black hole remnant from torsion in G(_2)-manifold geometry Geometric origin of a stable black hole remnant from torsion in G2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$_2$$end{document}-manifold geometry
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-19 DOI: 10.1007/s10714-026-03528-z
Richard Pinčák, Alexander Pigazzini, Michal Pudlák, Erik Bartoš
{"title":"Geometric origin of a stable black hole remnant from torsion in G(_2)-manifold geometry","authors":"Richard Pinčák,&nbsp;Alexander Pigazzini,&nbsp;Michal Pudlák,&nbsp;Erik Bartoš","doi":"10.1007/s10714-026-03528-z","DOIUrl":"10.1007/s10714-026-03528-z","url":null,"abstract":"<div><p>In this work, we explore the phenomenological consequences of a 7-dimensional Einstein-Cartan theory formulated on a G<span>(_2)</span>-manifold with torsion. We demonstrate that a Kaluza-Klein reduction of this geometry can provide a natural origin for the electroweak scale (<span>(approx thickapprox {246}{GeV})</span>), offering a geometric explanation for the hierarchy problem. A key prediction of this framework is the existence of a repulsive force at Planckian densities, which dynamically halts the final stage of Hawking evaporation. This leads to the formation of a stable remnant with a predicted mass of approximately <span>(9times 10^{-41};text {kg})</span>. The model’s internal consistency is confirmed by non-trivial relations that fix its geometric parameters, leading to falsifiable predictions. Furthermore, the remnant’s structure provides a concrete mechanism for storing information via its quasi-normal mode spectrum, opening a new, testable research program at the intersection of geometry, quantum gravity, and particle physics.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03528-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147507939","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 waves in massive Horndeski theory with a potential 大质量霍恩德斯基理论中的引力波具有势
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-13 DOI: 10.1007/s10714-026-03533-2
Hatice Özer, Özgür Delice
{"title":"Gravitational waves in massive Horndeski theory with a potential","authors":"Hatice Özer,&nbsp;Özgür Delice","doi":"10.1007/s10714-026-03533-2","DOIUrl":"10.1007/s10714-026-03533-2","url":null,"abstract":"<div><p>We investigate gravitational waves with an arbitrary potential within the framework of linearized Horndeski theory. We show that the minimum of the potential can play the role of an effective cosmological constant in this theory, which is usually neglected in previous studies of this subject. We first determine the background geometry in this setup by solving the weak field scalar and tensorial equations of linearized Horndeski theory. The solutions of linearized weak-field wave equations, in an appropriate gauge, are then obtained perturbatively to study the propagation and interactions of gravitational waves in this background. We compare our results with different realizations of the cosmological constant in Horndeski theory to compare the role of an arbitrary scalar potential with those of vacuum energy density and a linear potential. The results show that the background curvature arising from the minimum of the scalar potential effectively mimics a cosmological constant, producing distinct redshifts in the frequency and wave number that distinguish the tensor waves from massive scalar ones. We also find that the way the cosmological constant is introduced directly influences the speed and polarization of the scalar wave.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03533-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441891","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
The Hamiltonian constraint in the symmetric teleparallel equivalent of general relativity 广义相对论的对称远平行等效中的哈密顿约束
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-13 DOI: 10.1007/s10714-026-03535-0
María-José Guzmán
{"title":"The Hamiltonian constraint in the symmetric teleparallel equivalent of general relativity","authors":"María-José Guzmán","doi":"10.1007/s10714-026-03535-0","DOIUrl":"10.1007/s10714-026-03535-0","url":null,"abstract":"<div><p>General relativity (GR) admits two alternative formulations with the same dynamics attributing the gravitational phenomena to torsion or nonmetricity of the manifold’s connection. They lead, respectively, to the teleparallel equivalent of general relativity (TEGR) and the symmetric teleparallel equivalent of general relativity (STEGR). In this work, we focus on STEGR and present its differences with the conventional, curvature-based GR. We exhibit the 3+1 decomposition of the STEGR Lagrangian in the coincident gauge and present the Hamiltonian, the Hamiltonian and momenta constraints, and Hamilton’s equations. For a particular case of spherical symmetry, we explicitly show the differences in the Hamiltonian and the Hamiltonian constraint between GR and STEGR. We finally discuss the implications that these differences, which represent genuine different features between the two formulations of gravity, might encompass to numerical relativity.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441890","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
Shadow structure of generalized (k-n) black-bounce metrics 广义(k-n)黑弹度量的阴影结构
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-06 DOI: 10.1007/s10714-026-03524-3
Jose R. Nascimento, Ana R. M. Oliveira, Albert Yu. Petrov, Paulo J. Porfírio, Amilcar R. Queiroz
{"title":"Shadow structure of generalized (k-n) black-bounce metrics","authors":"Jose R. Nascimento,&nbsp;Ana R. M. Oliveira,&nbsp;Albert Yu. Petrov,&nbsp;Paulo J. Porfírio,&nbsp;Amilcar R. Queiroz","doi":"10.1007/s10714-026-03524-3","DOIUrl":"10.1007/s10714-026-03524-3","url":null,"abstract":"<div><p>The existence of black hole shadows is one of the most interesting effects of the strong field regime of general relativity (GR). Recent observations by the Event Horizon Telescope (EHT) have provided high-resolution images of the vicinity of supermassive black holes, ushering in a new era for testing gravitation on astrophysical scales. In this work, we continue the investigation initiated by [1], focusing on shadows associated with generalized <span>(k-n)</span> <i>black-bounce</i> type spacetimes, which smoothly interpolate between regular black holes and wormholes. We consider a generalization of the metric with free parameters (<i>a</i>, <i>k</i>, <i>n</i>) that modify the mass function and enrich the possible phenomenology. We develop a semi-analytical study of photon orbits, obtaining the critical impact parameter and the shadow radius for different parameter combinations. Subsequently, we perform numerical ray-tracing simulations using the <span>GYOTO</span> code, incorporating optically thick accretion disks and varying the observation angle. Our results reveal characteristic signatures, including the formation of double-ring structures and deformations of the shadow radius, which can serve as observational discriminators between classical black holes and <i>black-bounce</i> solutions.\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03524-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147362798","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
Laws of black hole mechanics in the Einstein-Gauss-Bonnet theory 爱因斯坦-高斯-博内理论中的黑洞力学定律
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-05 DOI: 10.1007/s10714-026-03526-1
Ayan Chatterjee, Sahil Devdutt, Avirup Ghosh
{"title":"Laws of black hole mechanics in the Einstein-Gauss-Bonnet theory","authors":"Ayan Chatterjee,&nbsp;Sahil Devdutt,&nbsp;Avirup Ghosh","doi":"10.1007/s10714-026-03526-1","DOIUrl":"10.1007/s10714-026-03526-1","url":null,"abstract":"<div><p>We extend the isolated horizon formalism to include rotating black holes arising in five dimensional Einstein- Gauss- Bonnet (EGB) theory of gravity, and derive the laws of black hole mechanics. This result allows us to show that the first law of black hole mechanics is modified, due to the Gauss- Bonnet term, so as to include corrections to (i) the area of horizon cross- sections and, to (ii) the expression of horizon angular momentum. Once these modifications are included, the Hamiltonian generates an evolution on the space of solutions of the EGB theory admitting isolated horizon as an internal boundary, the consequence of which is the first law of black hole mechanics. These boundary conditions may help in the search for exact solutions describing rotating black holes in this theory.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147362625","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
Stellar model in third order Lovelock gravity 三阶洛夫洛克引力下的恒星模型
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-03 DOI: 10.1007/s10714-026-03522-5
Shavani Naicker, Sunil D. Maharaj, Byron P. Brassel
{"title":"Stellar model in third order Lovelock gravity","authors":"Shavani Naicker,&nbsp;Sunil D. Maharaj,&nbsp;Byron P. Brassel","doi":"10.1007/s10714-026-03522-5","DOIUrl":"10.1007/s10714-026-03522-5","url":null,"abstract":"<div><p>We present a spherically symmetric stellar model within the framework of seven dimensional third order Lovelock gravity for a neutral perfect fluid distribution. The third order Lovelock field equations are generated for such a fluid configuration by imposing pressure isotropy. This condition yields a first order nonlinear differential equation which is an extension of the Abel differential equation. This is due to the additional higher order curvature effects arising in third order Lovelock gravity. We demonstrate new exact solutions that can model a static spherically symmetric star. The energy density and pressure are both variable. We also show that a special case arises, which is a constant density model with a cosmological interpretation. Furthermore, we illustrate the matching conditions to generate a spherically symmetric stellar model in third order Lovelock gravity when the EGB and third order Lovelock coupling constants are related.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03522-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147336316","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
Dark energy battery for magnetic field generation in plasmas in de Sitter spacetimes 德西特时空等离子体磁场产生的暗能量电池
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-01 DOI: 10.1007/s10714-026-03531-4
Nicolás Villarroel-Sepúlveda, Pablo S. Moya, Felipe A. Asenjo, Swadesh M. Mahajan
{"title":"Dark energy battery for magnetic field generation in plasmas in de Sitter spacetimes","authors":"Nicolás Villarroel-Sepúlveda,&nbsp;Pablo S. Moya,&nbsp;Felipe A. Asenjo,&nbsp;Swadesh M. Mahajan","doi":"10.1007/s10714-026-03531-4","DOIUrl":"10.1007/s10714-026-03531-4","url":null,"abstract":"<div><p>We show that in the spacetime dominated by a cosmological constant, given by de Sitter metric, a seed magnetic field can be generated in an ambient plasma (in a state of no magnetic field) by a general-relativistic battery. This cosmological battery depends on the interaction of spacetime curvature with inhomogeneous plasma thermodynamics. Thus, dark energy becomes a gravitational source for cosmic magnetic fields</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147336222","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 Einstein constraints and differential forms 爱因斯坦约束和微分形式
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-03-01 DOI: 10.1007/s10714-026-03527-0
Andrzej Okołów, Jakub Szymankiewicz
{"title":"The Einstein constraints and differential forms","authors":"Andrzej Okołów,&nbsp;Jakub Szymankiewicz","doi":"10.1007/s10714-026-03527-0","DOIUrl":"10.1007/s10714-026-03527-0","url":null,"abstract":"<div><p>We express the vacuum Einstein constraints in terms of differential forms—the forms include one-forms constituting an orthonormal coframe of the spatial metric. We show that if the metric is real-analytic, then the constraints can be always expressed locally as a system of first order PDE’s—this system is obtained by a special choice of coframe, which reduces to zero all second order terms in the scalar constraint. We also present a general formula for coframes, which allow for this simplification of the constraint and give it additionally a certain symmetric form.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147336221","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
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