{"title":"Analytic Expressions for Quasinormal Modes in Einstein–Aether Theory","authors":"Zainab Malik","doi":"10.1134/S0202289325700598","DOIUrl":"10.1134/S0202289325700598","url":null,"abstract":"<p>Quasinormal frequencies in the Einstein–Aether theory have been extensively investigated with the help of numerical methods. Here we derive analytic expressions for quasinormal modes of test scalar, electromagnetic and Dirac fields, using the higher-order WKB method and expansion in terms of <span>(1/ell)</span>, where <span>(ell)</span> is the multipole number. The obtained analytic formulas are surprisingly precise and in agreement with previously published numerical data. In addition, we check the validity of the correspondence between null geodesics and eikonal quasinormal modes.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"122 - 134"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559369","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":"Gravitational Redshift Observed from a Kerr Body with Spatial Resolution on the Surface","authors":"N. Bevan Arena Kharbithai, A. K. Sen","doi":"10.1134/S0202289325700604","DOIUrl":"10.1134/S0202289325700604","url":null,"abstract":"<p>We investigate how the rotation of celestial bodies influences the gravitational redshift of light, utilizing the Kerr metric. We refine this approach by considering rotational effects which include such phenomena as frame dragging that alters the space-time fabric around these objects. We derive an expression for gravitational redshift using the Kerr metric and analyze its variation with respect to rotation and the point of light emission, particularly, between equatorial and polar regions. Our findings, derived from simplified relativistic mechanics about angular momentum, show that gravitational redshift is significantly affected by both the object’s rotation and the position of light emission. By applying our results to celestial bodies such as the Sun and millisecond pulsars, we demonstrate that the gravitational redshift is not uniform across the surface of a rotating body, allowing us to differentiate the redshift originating from different locations on the surface. This variation provides new insights into the role of rotation in gravitational redshift.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"135 - 148"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559370","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}
Lobna Abdullghani, Alia El-Depsy, Mustafa Selim, Ayman Aly
{"title":"Tsallis, Rényi and Sharma–Mittal Holographic Dark Energy Models in (boldsymbol{f(R,L_{m})}) Gravity Theory","authors":"Lobna Abdullghani, Alia El-Depsy, Mustafa Selim, Ayman Aly","doi":"10.1134/S0202289325700616","DOIUrl":"10.1134/S0202289325700616","url":null,"abstract":"<p>We study the cosmic expansion scenario of the universe based on Tsallis, Rényi and Sharma–Mittal holographic dark energy models in the framework of <span>(f(R,L_{m}))</span> gravity theory. A numerical solution of our <span>(f(R,L_{m}))</span> dominated model is obtained, and then combined data sets are utilized to estimate the best-fit values of the free parameters of the model. The behavior of matter-energy density, the equation of state (EoS) parameter, and several other cosmological functions are calculated and plotted against cosmological time. For specific values of the numerical parameters of the models, it is found that our results are in good agreement with recent observations.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"149 - 163"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559430","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":"On Two More Consequences of the Theory of Master Space-Teleparallel Supergravity","authors":"G. Ter-Kazarian","doi":"10.1134/S0202289325700513","DOIUrl":"10.1134/S0202289325700513","url":null,"abstract":"<p>We complement the recent theory of <i>Master Space</i>-Teleparallel Supergravity (<span>(widetilde{MS}_{p})</span>-TSG) [1], which reviews the <i>acceleration and inertial effects</i>, with two more consequences. We first address the “locality hypothesis” for extension of Lorentz invariance within Special Relativity to accelerated observers. This replaces the accelerated observer with a continuous infinity of hypothetical momentarily comoving inertial observers along its word line. This assumption is valid only if the curvature of the world line could be ignored. In the general case, this is actually untenable. In the framework of <span>(widetilde{MS}_{p})</span>-TSG theory, the locality hypothesis introduces strict restrictions, replacing the curved <span>(widetilde{MS}_{p})</span> with the flat MS<span>({}_{p})</span>. Our strategy, therefore, goes beyond the locality hypothesis to recover <span>(widetilde{MS}_{p})</span> by invoking a general deformation MS<span>({}_{p}towidetilde{MS}_{p})</span>, which, as a corollary, is solely responsible for acceleration and inertia effects. This significantly improves the standard metric and other relevant geometric structures referred to a noninertial frame in Minkowski space-time for relativistic velocities and arbitrary characteristic acceleration lengths. Second, we address the inertial effects in semi-Riemannian and more general post-Riemannian geometries. We derive the relativistic inertial force in semi-Riemannian space, and the inertial force acting on an extended rotating body moving in Riemann–Cartan space. The relativistic Weak Equivalence Principle is a consequence of the theory, at which inertial effects gradually decrease at large Lorentz factors and vanish in the photon limit.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"18 - 41"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560034","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}
Tiago H. B. Alves, Júlio C. Fabris, Luiz Filipe Guimarães
{"title":"Fluid and Scalar Field Representations in the Brans–Dicke Theory: Cosmological Scenarios","authors":"Tiago H. B. Alves, Júlio C. Fabris, Luiz Filipe Guimarães","doi":"10.1134/S0202289325700537","DOIUrl":"10.1134/S0202289325700537","url":null,"abstract":"<p>The Brans–Dicke scalar-tensor cosmological models are studied in both Einstein and Jordan frames, using a hydrodynamical and self-interacting scalar field representations of the energy-momentum tensor leading to the same background solutions. The main features of the corresponding cosmological scenarios are determined. In many cases, the interpolation of decelerating and accelerating regimes are identified. Furthermore, the characteristics of solutions with attractive gravity are analyzed, determining possible implications for Brans–Dicke gravitation theory in the present scenario. The properties of the self-interacting scalar field, including the corresponding potential, are determined. Some possible appealing configurations are identified for the matter content like pressureless <span>((alpha=0))</span>, cosmological constant <span>((alpha={-}1))</span> and phantom matter <span>((alpha={-}2))</span>. The phantom case is motivated by some observational results like those obtained by the DESI project.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"50 - 59"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560036","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":"A Note on Pure Connection Formalism for Unimodular Gravity and Its Possible Generalizations","authors":"Alexey L. Smirnov","doi":"10.1134/S0202289325700562","DOIUrl":"10.1134/S0202289325700562","url":null,"abstract":"<p>In this note, we consider the Henneaux–Teitelboim version of Unimodular Gravity (UG) and its deformations in the form of gauge theories with spontaneously broken diffeomorphism invariance. The actions defining such theories depends on the curvature of an <span>(SO(3,mathbb{C}))</span> gauge connection and the field strength of a (real) 3-form (or equivalently its dual vector density). We obtain the pure connection action of the theory from the corresponding Plebanski action by integrating out auxiliary fields. Then we show that the Henneaux–Teitelboim form of UG can be included in a wider class of theories which propagate two (complex) degrees of freedom.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"87 - 92"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560039","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":"Impact of Pressure Anisotropy on a Compact Stellar Model in General Relativity","authors":"Rinkal Patel","doi":"10.1134/S0202289325700628","DOIUrl":"10.1134/S0202289325700628","url":null,"abstract":"<p>We present a new class of singularity-free interior solutions for anisotropic compact stars with spherical symmetry. By prescribing a specific pressure anisotropy, exact solutions to Einstein’s field equations are obtained and matched smoothly to the Schwarzschild exterior metric. The model parameters are determined using the boundary condition of vanishing radial pressure. The physical viability of the model is demonstrated through an analysis of the pulsar 4U1820-30, characterized by a radius of 9.1 km and mass <span>(M=1.58M_{odot}.)</span>\u0000 </p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"164 - 173"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559437","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}
Aroonkumar Beesham, Alfred Mvunyelwa Msomi, Sfundo Cebolenkosi Gumede
{"title":"Scalar Field Dark Energy Model Via Observational Constraints","authors":"Aroonkumar Beesham, Alfred Mvunyelwa Msomi, Sfundo Cebolenkosi Gumede","doi":"10.1134/S0202289325700550","DOIUrl":"10.1134/S0202289325700550","url":null,"abstract":"<p>This paper proposes a new scalar field cosmological model aimed at studying the late-time acceleration of the universe, based on a parametrization of the deceleration parameter. The main objective is to constrain fundamental cosmological parameters by integrating the latest measurements of the Hubble parameter from various observational datasets, including BAO, BAO <span>(+)</span> R19, CC <span>(+)</span> SC <span>(+)</span> BAO, and CC <span>(+)</span> SC <span>(+)</span> BAO <span>(+)</span> R19 from recent galaxy surveys. With a redshift range covering <span>(0.106<z<2.33)</span>, and incorporating the newest Hubble constant measurements from Riess et al. in 2019, we acquire best-fit parameter values for <span>(H_{0})</span> and <span>(r_{d})</span>. It is noteworthy that within late-time observations of <span>(H_{0})</span>, we observe a significant discrepancy, reproducing the reported <span>(H_{0})</span> tension. While our model is in good agreement with both the joint analysis and analysis with R19, discrepancies arise when BAO and BAO with R19 datasets are gradually included. Our model provides an excellent fit to the observed data and is consistent with the standard <span>(Lambda)</span>CDM paradigm at higher redshifts. However, the most interesting aspect is the prediction of future super-accelerated expansion, in contrast to the de Sitter phase predicted by the <span>(Lambda)</span>CDM model. The unique behavior of the jerk parameter also hints at new dynamics as ccompared to traditional cosmological models.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"70 - 86"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560041","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":"New Relativistic Cosmology Based on Principle of Scale Invariance#","authors":"A. S. Rabinowitch","doi":"10.1134/S0202289325700495","DOIUrl":"10.1134/S0202289325700495","url":null,"abstract":"<p>Modern cosmology faces a large number of unsolved questions. These include the problem of cosmological singularity, the lack of explanations for the nature of dark matter, the existence of well-developed galaxies in the few hundred million years after the Big Bang, and a number of other questions. In this regard, a different approach to constructing cosmology is proposed. It examines a generalization of General Relativity based on Weyl’s principle of scale invariance. This generalization allows one to arrive at a nonstandard cosmological solution in which the Big Bang is absent. Its application leads to new explanations for the redshift in the spectra of distant galaxies and the cosmic microwave background, as well as to a new view on the nature of dark matter.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"7 - 13"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560035","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":"Geometrization of Physics: The Problem of Motion","authors":"Magd E. Kahil","doi":"10.1134/S0202289325700574","DOIUrl":"10.1134/S0202289325700574","url":null,"abstract":"<p>The geometrization of physics may be expressed in the context of finding equations of motion for different objects rather than the conventional concept of allocating field variables geometrically. This can be performed by identifying physical quantities in terms of scalars, vectors and tensors described in various geometries that admit a nonvanishing curvature and torsion of space-time. The effect of covariant differentiation may represent the effect of physical fields on the trajectory of objects. We adopt a method in which spinning and charged objects are expressed using a parameter transformation between two nearby paths separated by a deviation vector in Riemannian, non-Riemannian, and Finslerian geometries. Moreover, the concept of parameter transformation is being revisited in the context of Clifford space as a step of combining microphysics and macrophysics.</p>","PeriodicalId":583,"journal":{"name":"Gravitation and Cosmology","volume":"32 1","pages":"93 - 107"},"PeriodicalIF":1.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560040","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}