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A toy model of Einstein gravity with a Gauss-Bonnet classically "entropic" term mimicking a quantum correction is considered. The static black hole solution due to Tomozawa is found and generalized with the inclusion of non trivial horizon…

广义相对论与量子宇宙学 · 物理学 2013-10-15 Guido Cognola , Ratbay Myrzakulov , Lorenzo Sebastiani , Sergio Zerbini

The trace-free Einstein equations contain one equation less than the complete field equations. In a static and spherically symmetric spacetime, the number of field equations is thus reduced to two. The equation of pressure isotropy of…

广义相对论与量子宇宙学 · 物理学 2024-03-27 Sudan Hansraj , Chevarra Hansraj , Njabulo Mkhize , Abdelghani Errehymy , Christian G. Boehmer

Teleparallel gravity has significantly increased in popularity in recent decades, bringing attention to Einstein's other theory of gravity. In this Review, we relate this form of geometry to the broader metric-affine approach to forming…

An exact charged solution with axial symmetry is obtained in the teleparallel equivalent of general relativity (TEGR). The associated metric has the structure function $G(\xi)=1-{\xi}^2-2mA{\xi}^3-q^2A^2{\xi}^4$. The fourth order nature of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Gamal Gergess Lamee Nashed

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…

广义相对论与量子宇宙学 · 物理学 2026-03-16 Maria-Jose Guzman

We investigate static, spherically symmetric solutions in Einstein-scalar-Gauss-Bonnet gravity non-minimally coupled to a massless real scalar field, both in vacuum and in the presence of fermionic matter. Focusing on a specific quadratic…

广义相对论与量子宇宙学 · 物理学 2025-11-03 Roberto D. Alba Q. , Javier Chagoya , Armando A. Roque

We consider global and gravitational lensing properties of the recently suggested Einstein clusters of WIMPs as galactic dark matter halos. Being tangential pressure dominated, Einstein clusters are strongly anisotropic systems which can…

广义相对论与量子宇宙学 · 物理学 2008-11-26 C. G. Boehmer , T. Harko

We present Hamilton's equations for the teleparallel equivalent of general relativity (TEGR), which is a reformulation of general relativity based on a curvatureless, metric compatible, and torsionful connection. For this, we consider the…

广义相对论与量子宇宙学 · 物理学 2023-03-08 Laxmipriya Pati , Daniel Blixt , Maria-Jose Guzman

In this study we obtain interior solutions and investigate structural properties of isotropic compact stars in the framework of four-dimensional regularized Einstein-Gauss-Bonnet (4DEGB) gravity. For stellar matter content, we adopt a…

广义相对论与量子宇宙学 · 物理学 2026-01-21 G. Panotopoulos , Á. Rincón , I. Lopes

This paper aims to explore a class of static stellar equilibrium configuration of relativistic charged spheres made of a charged perfect fluid. Solving the Einstein-Maxwell field equations, we consider a particularized metric potential,…

广义相对论与量子宇宙学 · 物理学 2021-05-11 J. Kumar , S. K. Maurya , A. K. Prasad , Ayan Banerjee

This paper explores stability of the Einstein universe against linear homogeneous perturbations in the background of $f(\mathcal{G},T)$ gravity. We construct static as well as perturbed field equations and investigate stability regions for…

广义相对论与量子宇宙学 · 物理学 2017-07-26 M. Sharif , Ayesha Ikram

Probing gravity in its strongest regime is a central goal of modern physics, as the nature of the most compact objects reflects fundamental aspects of Einstein's theory of general relativity (GR). In GR, black holes are regarded as the most…

广义相对论与量子宇宙学 · 物理学 2026-05-20 Shoulong Li , H. Lü , Yong Gao , Rui Xu , Lijing Shao , Hongwei Yu

We propose a model describing Einstein gravity coupled to a scalar field with an exponential potential. We show that the weak-field limit of the model has static solutions given by a gravitational potential behaving for large distances as…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Mariano Cadoni

We show that a vector field non-minimally coupled to gravity reproduces exactly the dynamics of an Einstein cluster -- a large ensemble of non-interacting particles moving on circular geodesics under their collective gravitational field.…

广义相对论与量子宇宙学 · 物理学 2026-04-17 Pedro G. S. Fernandes , Vitor Cardoso

Einstein originally proposed a nonsymmetric tensor field, with its symmetric part associated with the spacetime metric and its antisymmetric part associated with the electromagnetic field, as an approach to a unified field theory. Here we…

广义相对论与量子宇宙学 · 物理学 2018-03-14 J. R. van Meter

A new classical theory of gravitation within the framework of general relativity is presented. It is based on a matrix formulation of four-dimensional Riemann-spaces and uses no artificial fields or adjustable parameters. The geometrical…

广义相对论与量子宇宙学 · 物理学 2011-03-24 Wolfgang Koehler

We study stress tensor correlation functions in four-dimensional conformal field theories with large $N$ and a sparse spectrum. Theories in this class are expected to have local holographic duals, so effective field theory in anti-de Sitter…

高能物理 - 理论 · 物理学 2018-01-17 Nima Afkhami-Jeddi , Thomas Hartman , Sandipan Kundu , Amirhossein Tajdini

Teleparallel Gravity (TG) describes gravitation as a torsional- rather than curvature-based effect. As in curvature-based constructions of gravity, several different formulations can be proposed, one of which is the Teleparallel equivalent…

广义相对论与量子宇宙学 · 物理学 2020-07-01 Soumya Chakrabarti , Jackson Levi Said

This thesis focuses on the application of numerical relativity methods to the solutions of problems in strong gravity. Our goal is the study of mergers of compact objects in the strong field regime where non-linear dynamics manifest and…

广义相对论与量子宇宙学 · 物理学 2024-08-02 Llibert Aresté Saló

We study the Teleparallel Equivalent of General Relativity (TEGR) with Lagrangian that includes the flat (inertial) spin connection and that is evidently invariant with respect to local Lorentz rotations. Applying directly the Noether…

广义相对论与量子宇宙学 · 物理学 2021-04-20 Elena Emtsova , Alexander Petrov , Aleksey Toporensky