Spyridon Vossos, Elias Vossos and Chariklis Ntelis
{"title":"The equations of motion in spacetime endowed with stationary metric of general relativity and the equivalent gravitational scalar generalized potential of special relativity","authors":"Spyridon Vossos, Elias Vossos and Chariklis Ntelis","doi":"10.1088/1361-6382/ae4202","DOIUrl":"https://doi.org/10.1088/1361-6382/ae4202","url":null,"abstract":"The gravity in the context of general relativity (GR) as dynamical curvature of spacetime remains a principal impediment not only to its unification with the other fundamental interactions but also to the formulation of quantum gravity. One possible resolution involves considering gravity in the context of special relativity (SR). This paper presents a procedure, which correlates the GR metrics of curved spacetime and the SR gravitational scalar generalized potential. The GR time dilation is the key-point for the correlation of the two gravities, which implies the corresponding SR Lagrangian. Previous papers have already demonstrated the procedure and the results in cases of Friedmann–Lemaitre–Robertson–Walker metric, wormholes with spherical symmetry, and Schwarzschild metric (where not only the gravitational motions (free falls) but also the Gravitational Red Shift in the context of SR are exactly the same as those in the context of GR with stationary metric). This paper analytically derives the general formulae of Equations of Motion in Spacetime endowed with Stationary metric in the context of GR and the ones in the context of SR, proving that they are exactly the same. Finally, it presents the case studies of gravitational motions around Schwarzschild blackhole, Kerr rotating blackhole and Standard Ellis–Bronnikov wormhole. Thus, it is shown that these motions have an equivalent SR viewpoint.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"54 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146210089","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}
Roman Berens, Trevor Gravely and Alexandru Lupsasca
{"title":"Gravitational waves on Kerr black holes: II. Metric reconstruction with cosmological constant","authors":"Roman Berens, Trevor Gravely and Alexandru Lupsasca","doi":"10.1088/1361-6382/ae4282","DOIUrl":"https://doi.org/10.1088/1361-6382/ae4282","url":null,"abstract":"In this second paper of our series started with Berens et al (2024 arXiv:2403.20311), we investigate linearized gravitational perturbations of a rotating Kerr black hole in a non-asymptotically flat spacetime with (anti-)de Sitter boundary conditions. Here, we explicitly write down the metric components (in both ingoing and outgoing radiation gauge) of the perturbations that correspond to a given mode of either Weyl scalar. We provide formulas involving Hertz potentials (intermediate quantities with a holographic interpretation) as well as some that involve only the separated radial and angular modes. We expect these analytic results to prove useful in numerical studies of black hole perturbation theory in the context of the holographic correspondence.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"35 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146210431","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}
Miguel Alcubierre, Juan Barranco, Argelia Bernal, Juan Carlos Degollado, Alberto Diez-Tejedor, Miguel Megevand, Darío Núñez and Olivier Sarbach
{"title":"Noble gravitational atoms: self-gravitating black hole scalar wigs with angular momentum number","authors":"Miguel Alcubierre, Juan Barranco, Argelia Bernal, Juan Carlos Degollado, Alberto Diez-Tejedor, Miguel Megevand, Darío Núñez and Olivier Sarbach","doi":"10.1088/1361-6382/ae4160","DOIUrl":"https://doi.org/10.1088/1361-6382/ae4160","url":null,"abstract":"We present new spherically symmetric solutions of the Einstein–Klein–Gordon equations in a quasi-stationary approximation that describe self-gravitating scalar field configurations around a black hole, including angular momentum number . An approach analogous to the one which gives rise to -boson stars is used here to construct self-gravitating ‘gravitational atoms’ with . We refer to these new solutions as noble gravitational atoms, by analogy with noble atoms, which are characterized by closed electron shells. We show that, in the proper limit, noble gravitational atoms approach -boson stars globally, displaying noticeable differences only in a region very close to the event horizon. Noble gravitational atoms with sometimes present density maxima located at relatively large radii, with small density close to the horizon for . Furthermore, they do not always present the typical density spike at the event horizon if ; on the contrary, they sometimes exhibit a small dip there. When , a spike can appear, but its contribution to the total mass density is always negligible. The size, density, and lifetime of these objects vary significantly depending on the parameters, being in some cases as large as galaxies, as dilute as dark matter, and as long-lived as the Universe itself.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"1 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146210088","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":"A collision operator for field-mediated interactions in general relativistic kinetic theory","authors":"Naoki Sato","doi":"10.1088/1361-6382/ae415d","DOIUrl":"https://doi.org/10.1088/1361-6382/ae415d","url":null,"abstract":"We develop a Hamiltonian framework for general relativistic kinetic theory on the cotangent bundle of a Lorentzian (pseudo–Riemannian) manifold. Starting from the geodesic Hamiltonian H, we derive a Landau-type collision operator for self-gravitating particles undergoing binary interactions mediated by an arbitrary potential energy V, and couple the resulting kinetic stress–energy to the Einstein field equations to obtain the Landau–Einstein system. In the presence of a coordinate-time Killing symmetry we find a family of stationary states of the form , where Φ is the mean field, , β is an inverse-temperature parameter, and ζ encodes symmetry-induced degeneracy.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"11 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146210429","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":"Cosmological implications of f ( R , Σ ...","authors":"S R Bhoyar and Yash B Ingole","doi":"10.1088/1361-6382/ae3e35","DOIUrl":"https://doi.org/10.1088/1361-6382/ae3e35","url":null,"abstract":"We explore the cosmological behavior of the recently proposed gravity theory, which generalizes the standard framework by incorporating an additional Ricci-torsion scalar Σ to account for torsion-induced effects within the spacetime geometry. Employing the Efstathiou equation of state (EoS) parameterization in a spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) background, we derive the modified field equations and analytically reconstruct the Hubble parameter. The model parameters are constrained using the Cosmic Chronometer (CC) and Pantheon+SH0ES supernova datasets through Markov Chain Monte Carlo analysis. Our results reveal that the framework can successfully reproduce the late-time accelerated expansion of the Universe without the need for an explicit cosmological constant. The resulting effective EoS evolves within the quintessence regime and approaches the ΛCDM limit at low redshift. Furthermore, energy conditions, sound speed stability, and thermodynamic consistency are examined, confirming the physical viability of the model. These findings suggest that the inclusion of the Ricci-torsion term Σ offers a promising geometrical mechanism for cosmic acceleration and helps alleviate current observational tensions in Hubble parameter measurements.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"17 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146210087","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":"Causal fermion systems: spacetime as the web of correlations of a many-body quantum system","authors":"Patrick Fischer and Claudio F Paganini","doi":"10.1088/1361-6382/ae2379","DOIUrl":"https://doi.org/10.1088/1361-6382/ae2379","url":null,"abstract":"In this paper, we argue that spacetime in causal fermion systems (CFSs) can be understood as the web of correlations of a many-body quantum system. This argument highlights the fact that CFSs is a completely relational theory. We also explain how our perception of a background (spacetime) emerges in the limit where the number of states taken in consideration goes to infinity. This thereby constitutes a complete viable ontology for CFSs which is not reliant on the continuum limit. A key insight is the fact that in a relevant subset of CFSs, which includes the continuum limit of the Minkowski vacuum spacetime, minimization of the causal action can be understood as a minimization of fluctuations in the causal structure of spacetime.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"43 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146210428","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}
Pedro Duarte-Baptista, Alex Vañó-Viñuales and Adrián del Río
{"title":"A numerical approach to particle creation in accelerating toy models","authors":"Pedro Duarte-Baptista, Alex Vañó-Viñuales and Adrián del Río","doi":"10.1088/1361-6382/ae4201","DOIUrl":"https://doi.org/10.1088/1361-6382/ae4201","url":null,"abstract":"The formation of black holes by the gravitational collapse of stars is known to spontaneously excite particle pairs out of the quantum vacuum. For the canonical vacuum state at past null infinity, the expected number of particles received at future null infinity can be obtained in full closed form at sufficiently late times. However, for intermediate times, or for more complicated astrophysical processes (e.g. binary black hole mergers), the problem is technically challenging and has not yet been resolved. We develop here a numerical approach to study scattering problems of massless quantum fields in asymptotically flat spacetimes, based on the hyperboloidal slice method used in numerical relativity and perturbation theory. This promising approach can reach both past and future null infinities, and therefore it has the potential to address the Hawking scattering problem more rigorously than evolution on the usual Cauchy slices. In this first work, we test this approach with some dynamical toy models in Minkowski using effective potentials that mimic the effects of gravity, and compute the spectrum of particles received at future null infinity. We finally discuss future prospects for applying this framework in more relevant gravitational scenarios.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"31 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146210430","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":"Studies on Carrollian quantum field theories","authors":"Aditya Sharma","doi":"10.1088/1361-6382/ae4310","DOIUrl":"https://doi.org/10.1088/1361-6382/ae4310","url":null,"abstract":"We examine the quantum field description of massive Carrollian field theories, emphasizing the critical role of gauge fixing within the Carrollian sector. We illustrate this importance using scalar Carrollian electrodynamics (sCEDs) as a primary example. We also present the quantum field description for complex Carrollian scalar fields, Carrollian fermions, and CEDs. We highlight the challenges in sCEDs, where the renormalized mass appears gauge-dependent, and clarify this discrepancy by carefully constructing completely gauge-fixed propagators. We discuss how certain abelian Carrollian field theories do not admit any loop corrections and are trivial in that sense.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"17 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146210090","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 the local existence for the characteristic initial value problem for the Einstein–Dirac system","authors":"Peng Zhao and Xiaoning Wu","doi":"10.1088/1361-6382/ae4088","DOIUrl":"https://doi.org/10.1088/1361-6382/ae4088","url":null,"abstract":"In this paper, we investigate the characteristic initial value problem for the Einstein–Dirac system, a model governing the interaction between gravity and spin- fields. We apply Luk’s strategy (Luk J 2012 Int. Math. Res. Not.20 4625) and prove a semi-global existence result for this coupled Einstein–Dirac system without imposing symmetry conditions. More precisely, we construct smooth solutions in a rectangular region to the future of two intersecting null hypersurfaces, on which characteristic initial data are specified. The key novelty is to promote the symmetric spinorial derivatives of the Dirac field to independent variables and to derive a commuted ‘Weyl-curvature-free’ evolution system for them. This eliminates the coupling to the curvature in the energy estimates and closes the bootstrap at the optimal derivative levels. The analysis relies on a double null foliation and incorporates spinor-specific techniques essential to handling the structure of the Dirac field.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"15 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146205585","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":"Static spacetimes with a Finsler angular sector","authors":"Erasmo Caponio","doi":"10.1088/1361-6382/ae4281","DOIUrl":"https://doi.org/10.1088/1361-6382/ae4281","url":null,"abstract":"We consider static spacetimes in spherical coordinates whose angular sector is described by a Finsler metric rather than the standard round metric on S2. Our first contribution is kinematical: maintaining arbitrary lapse and radial factors , , and relying solely on Killing symmetries and the null constraint, we derive model–independent relations for circular photon orbits and the effective dynamics. By specializing the angular sector to a Randers sphere of constant positive flag curvature, we obtain exact expressions for the conserved angular charge and the critical impact parameter, and we quantify a Finslerian Sagnac–type effect. Our second contribution is dynamical: we examine the field equations used in the literature to determine . We revisit the family of hairy black holes in (Nekouee et al 2025 Class. Quantum Grav.42 045002), demonstrating that the analysis therein neglects crucial non-reversible Finsler features. Furthermore, we show that the solutions presented as new reproduce previously known results in (Ovalle et al 2021 Phys. Dark Univ.31 100744).","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"36 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146205579","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}