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General Relativity and Gravitation最新文献

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Geodesic deviation to all orders via a tangent bundle formalism 通过切线束形式实现所有阶的测地线偏差
IF 3 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-30 DOI: 10.1007/s10714-026-03580-9
Joon-Hwi Kim
{"title":"Geodesic deviation to all orders via a tangent bundle formalism","authors":"Joon-Hwi Kim","doi":"10.1007/s10714-026-03580-9","DOIUrl":"10.1007/s10714-026-03580-9","url":null,"abstract":"<div><p>We establish an in-in formalism for geodesic deviation as an alternative to Synge calculus, based on a covariant calculus of differential forms in tangent bundle. This derives the exact Lagrangian and equations governing the finite geodesic deviation between a free-falling test particle and an arbitrary observer, in terms of infinite sums whose coefficients are products of binomial coefficients. Explicit expressions are provided up to tenth order, finding agreements with the previous fourth-order result.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 7","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148355662","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
Fast likelihood approximations for simulated LISA data by downsampling 下采样模拟LISA数据的快速似然近似
IF 3 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-28 DOI: 10.1007/s10714-026-03571-w
Jethro Linley
{"title":"Fast likelihood approximations for simulated LISA data by downsampling","authors":"Jethro Linley","doi":"10.1007/s10714-026-03571-w","DOIUrl":"10.1007/s10714-026-03571-w","url":null,"abstract":"<div><p>The Laser Interferometer Space Antenna (LISA) is due to launch in the mid-2030s. A key challenge for LISA data analysis is efficient Bayesian inference with parametrised gravitational-wave models, particularly for early inspirals of low- and intermediate-mass black-hole binaries, where time series can contain <span>(sim 10^8)</span>–<span>(10^9)</span> samples and naive likelihood evaluations become prohibitively expensive. We present a time-domain likelihood-approximation scheme for such signals. The method retains a small subset of samples and defines a modified noise-weighted inner product on this subset that closely reproduces the original inner product on the waveform manifold. Because this alters the effective noise model, the scheme is intended for analysis of simulated, rather than real LISA data. In our examples, the resulting posteriors closely agree with those obtained using much denser sampling, while retaining only <span>(10^3)</span>–<span>(10^4)</span> samples. The computational cost scales linearly with the number of retained samples <span>(N_textrm{s})</span>, so the speed-up is roughly <span>(N_textrm{f}/N_textrm{s})</span>, where <span>(N_textrm{f})</span> is the original data length; for realistic LISA-like datasets with <span>(N_textrm{f}sim 10^8)</span>–<span>(10^9)</span> this would correspond to gains of order <span>(10^4)</span>–<span>(10^6)</span> over straightforward frequency-domain likelihood evaluations of the full dataset, although a small number of additional runs is required to verify convergence. The time-domain formulation is particularly convenient for modelling effects naturally expressed through modified time evolution, such as those induced by non-trivial astrophysical environments or additional dynamical fields in beyond-GR theories. This paper provides the theoretical basis for the software package <span>Dolfen</span>.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 7","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03571-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323764","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
Thermodynamics of the FLRW apparent horizon in Einstein-Gauss-Bonnet gravity 爱因斯坦-高斯-邦尼引力中FLRW视视界的热力学
IF 3 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-27 DOI: 10.1007/s10714-026-03577-4
Luis M. Sánchez, Hernando Quevedo
{"title":"Thermodynamics of the FLRW apparent horizon in Einstein-Gauss-Bonnet gravity","authors":"Luis M. Sánchez,&nbsp;Hernando Quevedo","doi":"10.1007/s10714-026-03577-4","DOIUrl":"10.1007/s10714-026-03577-4","url":null,"abstract":"<div><p>We analyze the thermodynamic properties of the apparent horizon of Friedmann-Lemaître-Roberson-Walker (FLRW) spacetimes in Einstein-Gauss-Bonnet gravity. We use the generalized definition of entropy for gravity theories in higher dimensions to determine the main thermodynamic variables and to compare their behavior with the corresponding quantities in Einstein’s theory, emphasizing the role of the Gauss-Bonnet coupling constant and the dimension number. By imposing the validity of the laws of thermodynamics, we show that the apparent horizon can be interpreted thermodynamically as a dark energy fluid, independently of the coupling constant and the dimension number. Using the response functions, we determine the adiabatic index and the number of thermally accessible degrees of freedom of the apparent horizon and argue that this leads to a discretization of the Gauss-Bonnet coupling constant. This discretization acts as a selection criterion for physically admissible sectors of the theory and may, in principle, have observable consequences on the cosmological expansion history.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 7","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03577-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148355621","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
Solution for the field equations of the null-surface formulation of general relativity in 3+1 dimensions 3+1维广义相对论零曲面公式的场方程解
IF 3 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-25 DOI: 10.1007/s10714-026-03578-3
Tina A. Harriott, J. G. Williams
{"title":"Solution for the field equations of the null-surface formulation of general relativity in 3+1 dimensions","authors":"Tina A. Harriott,&nbsp;J. G. Williams","doi":"10.1007/s10714-026-03578-3","DOIUrl":"10.1007/s10714-026-03578-3","url":null,"abstract":"<div><p>The null-surface formulation (NSF) is conformally equivalent to general relativity, but the three coupled NSF field equations are challenging to solve. Earlier papers have reported solutions in 2+1 dimensions. This current paper presents a nontrivial exact solution in 3+1 dimensions that is expressed solely in terms of the special “intrinsic” coordinate system of the NSF and the associated angular parameters. To the authors’ knowledge this is the first such solution to be found. The solution is given implicitly, rather than explicitly, but it is nonetheless developed in full. Expressions for the standard geometric constructs—the metric, Ricci, and Einstein tensors—are given explicitly. The Ricci scalar is positive everywhere.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323281","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
Thermal vacuum model for cosmology without inflaton 无膨胀宇宙学的热真空模型
IF 3 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-23 DOI: 10.1007/s10714-026-03576-5
Robert Alicki
{"title":"Thermal vacuum model for cosmology without inflaton","authors":"Robert Alicki","doi":"10.1007/s10714-026-03576-5","DOIUrl":"10.1007/s10714-026-03576-5","url":null,"abstract":"<div><p>The previously proposed modification of the standard (flat) inflationary <span>(Lambda CDM)</span> model in which the inflaton field(s) and “dark energy\" are replaced by the vacuum in expanding Friedmann-Lemaître-Robertson-Walker Universe is studied. The expanding joint vacuum of all ingredients of matter, including Standard Model particles and a dark matter sector, is treated as a thermal equilibrium state at temporal Gibbons-Hawking temperature, proportional to the Hubble parameter, and chemical potentials equal to particle masses. This theory applied to the early Universe provided the new mechanism of inflation and its graceful exit accompanied by particles production. Here, it is shown that the same idea applied to the late Universe explains acceleration of expansion and gives a natural solution to the “cosmological constant problem”. Moreover, this formalism can be combined with the anomalous quantum gravity effects leading to a viable baryogenesis mechanism and producing certain restrictions on the mass spectrum for dark matter particles.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03576-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323398","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
A simple hyperboloidal foliation of Kerr-Newman spacetime 克尔-纽曼时空的一个简单双曲叶理
IF 3 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-21 DOI: 10.1007/s10714-026-03575-6
Jeffrey Winicour
{"title":"A simple hyperboloidal foliation of Kerr-Newman spacetime","authors":"Jeffrey Winicour","doi":"10.1007/s10714-026-03575-6","DOIUrl":"10.1007/s10714-026-03575-6","url":null,"abstract":"<div><p>Hyperboloidal foliations which extend to future null infinity are advantageous in extracting gravitation radiation and monitoring the approach to horizon formation. A simple hyperboloidal foliation of the Kerr-Newman family of charged, spinning black hole spacetimes is presented. Its potential application to the simulation of the full range of perturbations of sub-extremal Kerr-Newman black holes is outlined.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323151","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
A generalized exponential potential for single-field inflation 单场暴胀的广义指数势
IF 3 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-18 DOI: 10.1007/s10714-026-03574-7
Feyzollah Younesizadeh, Younes Younesizadeh
{"title":"A generalized exponential potential for single-field inflation","authors":"Feyzollah Younesizadeh,&nbsp;Younes Younesizadeh","doi":"10.1007/s10714-026-03574-7","DOIUrl":"10.1007/s10714-026-03574-7","url":null,"abstract":"<div><p>We investigate a versatile class of single-field inflationary models governed by a smoothly deformable exponential potential. The potential is characterized by parameters controlling its asymmetry, steepness, and curvature, enabling a continuous interpolation between plateau-like and steep exponential regimes. This flexibility allows the model to exhibit a wide range of inflationary dynamics, including attractor behavior and power-law expansion as emergent features. Within the slow-roll framework, we compute the resulting predictions for the scalar spectral index <span>(n_{s})</span> and the tensor-to-scalar ratio <span>(r)</span>, and perform a systematic exploration of the parameter space. Our analysis identifies substantial regions consistent with the latest constraints from Planck and BICEP/Keck, demonstrating the model’s capability to describe both low- and high-scale inflation. The inherent adaptability of this framework, along with its connection to exponential and hyperbolic structures, underscores its potential relevance for embedding inflation in high-energy theories.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281067","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
Equivalence of the null energy condition to variable lower bounds on the timelike Ricci curvature for (C^2)-Lorentzian metrics 零能量条件对(C^2) -洛伦兹度量的类时里奇曲率变下界的等价性
IF 3 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-17 DOI: 10.1007/s10714-026-03573-8
Melanie Graf, Yaver Gulusoy
{"title":"Equivalence of the null energy condition to variable lower bounds on the timelike Ricci curvature for (C^2)-Lorentzian metrics","authors":"Melanie Graf,&nbsp;Yaver Gulusoy","doi":"10.1007/s10714-026-03573-8","DOIUrl":"10.1007/s10714-026-03573-8","url":null,"abstract":"<div><p>The null energy or null convergence condition (NEC) is one of the fundamental assumptions necessary for many celebrated results from Lorentzian Geometry and Mathematical General Relativity. As such there have been several recent efforts to find a good generalization of this condition to the new setting of Lorentzian length spaces or metric measure spacetimes. One important property any such generalization should fulfill is consistency with the classical formulation for a class of spacetimes as large as possible. The purpose of this note is to show that the reformulation of the NEC by McCann as variable lower timelike Ricci curvature bounds in [16] remains equivalent to the classical NEC not just for smooth but even for <span>(C^2)</span>-metrics, where McCann’s original proof needs to be modified.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03573-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281105","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
On the limitations of a generalized Vaidya metric 关于广义Vaidya度规的局限性
IF 3 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-14 DOI: 10.1007/s10714-026-03569-4
Soumya Chakrabarti, Naresh Dadhich, Chiranjeeb Singha
{"title":"On the limitations of a generalized Vaidya metric","authors":"Soumya Chakrabarti,&nbsp;Naresh Dadhich,&nbsp;Chiranjeeb Singha","doi":"10.1007/s10714-026-03569-4","DOIUrl":"10.1007/s10714-026-03569-4","url":null,"abstract":"<div><p>We investigate the smooth matching of a generalized Vaidya interior metric with an exterior Schwarzschild or Vaidya spacetime across a finite timelike boundary hypersurface, within the standard Israel-Darmois formalism. By explicitly deriving the extrinsic curvature components, we show that smooth matching generically requires that the mass function, evaluated at the boundary hypersurface, depend only on the ingoing Eddington-Finkelstein null coordinate, i.e., <span>(partial m/partial r|_{Sigma } = 0)</span>. For <span>(partial m/partial r ne 0)</span>, the junction conditions lead to a discontinuity in the extrinsic curvature, inducing a thin shell with non-vanishing tangential surface stress. The discontinuity is also reflected in invariant quantities such as <span>(mathcal {K}=K_{ab}K^{ab})</span> and the Kodama current, indicating a mismatch in quasi-local energy flux across the boundary. To illustrate using examples, we consider models in which the interior Type-I matter is described by an ideal fluid with a linear equation of state. Within this class of models, enforcing <span>(partial m/partial r = 0)</span> at a finite boundary hypersurface either leads to singular behavior in physical quantities or drives the boundary towards an asymptotic limit. Our results therefore indicate that, for a broad class of generalized Vaidya models with non-trivial radial dependence, smooth matching to a Schwarzschild/Vaidya exterior either requires a surface stress or the configuration becomes effectively unbounded.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281002","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
A simplified proof of a cosmological singularity theorem 宇宙奇点定理的简化证明
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2026-06-04 DOI: 10.1007/s10714-026-03562-x
Gregory J. Galloway, Eric Ling
{"title":"A simplified proof of a cosmological singularity theorem","authors":"Gregory J. Galloway,&nbsp;Eric Ling","doi":"10.1007/s10714-026-03562-x","DOIUrl":"10.1007/s10714-026-03562-x","url":null,"abstract":"<div><p>In a previous paper [9], we proved the following singularity theorem applicable to cosmological models with a positive cosmological constant: if a four-dimensional spacetime satisfying the null energy condition contains a compact Cauchy surface which is expanding in all directions, then the spacetime is past null geodesically incomplete unless the Cauchy surface is topologically a spherical space. The proof in [9] made use of the positive resolution of the surface subgroup conjecture [15]. In this note, we demonstrate how the less-broadly-known positive resolution of the virtual positive first Betti number conjecture [1] provides a more streamlined and unified approach to the proof. We illustrate the theorem with some examples and analyze its rigidity under null geodesic completeness.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03562-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172198","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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