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We consider static cosmological solutions along with their stability properties in the framework of a recently proposed theory of massive gravity. We show that the modifcation introduced in the cosmological equations leads to several new…

广义相对论与量子宇宙学 · 物理学 2012-07-27 Luca Parisi , Ninfa Radicella , Gaetano Vilasi

In this manuscript, we investigate the oscillatory behaviour of the anisotropy in the diagonal Bianchi-I spacetimes. Our starting point is a simplification of Einstein's equations using only observable or physical variables. As a…

广义相对论与量子宇宙学 · 物理学 2021-04-02 Leandro G Gomes , Bruno B. Bizarria , Gabriel A. de Souza Silva , William O. Clavijo

Spherically symmetric relativistic stars with the polytropic equation of state, which possess the local pressure anisotropy, are considered in the context of general relativity. The modified Lane-Emden equations are derived for the special…

广义相对论与量子宇宙学 · 物理学 2018-01-25 A. A. Isayev

We construct explicitly deformations of Einstein's theory of gravity that are consistent and phenomenologically viable since they respect, in particular, cosmological backgrounds. We show that these deformations have unique symmetries in…

高能物理 - 理论 · 物理学 2013-05-30 Felix Berkhahn , Dennis Dietrich , Stefan Hofmann , Florian Kühnel , Parvin Moyassari

We obtain a class of anisotropic spherically symmetric relativistic solutions of compact objects in hydrostatic equilibrium in the $f(R,T) =R+2\chi T$ modified gravity, where $R$ is the Ricci scalar, $T$ is the trace of the energy momentum…

综合物理 · 物理学 2020-09-18 S. Dey , A. Chanda , B. C. Paul

By assuming a particular mass function we find new exact solutions to the Einstein field equations with an anisotropic matter distribution. The solutions are shown to be relevant for the description of compact stars. A distinguishing…

广义相对论与量子宇宙学 · 物理学 2008-11-26 R. Sharma , S. D. Maharaj

In this article, we present a class of relativistic solutions describing spherically symmetric and static anisotropic stars in hydrostatic equilibrium. For this purpose, we consider a particularized matric potential, namely, Buchdahl ansatz…

广义相对论与量子宇宙学 · 物理学 2021-08-03 S. K. Maurya , Ayan Banerjee , M. K. Jasim , J. Kumar , A. K. Prasad , Anirudh Pradhan

We consider the general situation of a compact relativistic body with anisotropic pressures in the presence of the electromagnetic field. The equation of state for the matter distribution is linear and may be applied to strange stars with…

广义相对论与量子宇宙学 · 物理学 2009-01-16 S. Thirukkanesh , S. D. Maharaj

We study the effects of anisotropic pressure on the properties of spherically symmetric, gravitationally bound objects. We consider the full general relativistic treatment of this problem and obtain exact solutions for various form of…

天体物理学 · 物理学 2007-05-23 Krsna Dev , Marcelo Gleiser

This paper explores the Friedmann field equations within the framework of Lovelock gravity, a natural extension of Einstein's gravity, focusing on both flat and open universes. Utilizing an approach based on independent Riemann tensor…

广义相对论与量子宇宙学 · 物理学 2024-12-30 Aleksei Nikolaev

In this paper we perform stability analysis for exponential solutions in Einstein-Gauss-Bonnet and cubic Lovelock gravity. We report our findings, provide areas on parameters space and discuss familiarities and differences between cases.…

广义相对论与量子宇宙学 · 物理学 2015-11-11 Sergey A. Pavluchenko

The present paper is devoted to a study of the equilibrium configurations of slowly rotating anisotropic stars in the framework of general relativity. For that purpose, we provide the equations of structure where the rotation is treated to…

广义相对论与量子宇宙学 · 物理学 2024-07-23 Philip Beltracchi , Camilo Posada

In this article, we apply the Finsler spacetime to develop the Einstein field equations in the extension of modified geometry. Following Finsler geometry, which is focused on the tangent bundle with a scalar function, a scalar equation…

广义相对论与量子宇宙学 · 物理学 2025-02-11 Sourav Roy Chowdhury , Debabrata Deb , Farook Rahaman , Saibal Ray

We present an algorithm to generalize a plethora of well-known solutions to Einstein field equations describing spherically symmetric relativistic fluid spheres by relaxing the pressure isotropy condition on the system. By suitably fixing…

综合物理 · 物理学 2018-02-14 S. Thirukkanesh , F. C. Ragel , Ranjan Sharma , Shyam Das

In this paper we study anisotropic spherical polytropes within the framework of general relativity. Using the anisotropic Tolman-Oppenheimer-Volkov (TOV) equations, we explore the relativistic anisotropic Lane-Emden equations. We find how…

广义相对论与量子宇宙学 · 物理学 2016-07-20 F. Shojai , M. Kohandel , A. Stepanian

We derive the Lie point symmetries for the MIT Bag Model for quark stars in relativistic astrophysics. Four cases of reduction arise; three cases of specific values of the measure of the anisotropy variation, and one general case, which we…

广义相对论与量子宇宙学 · 物理学 2023-05-19 Muhammad Al-Zafar Khan , Riven Narain

We study the Einstein-Maxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes. The condition for pressure isotropy is reduced to a recurrence equation with variable, rational coefficients. We…

广义相对论与量子宇宙学 · 物理学 2015-06-25 S. Thirukkanesh , S. D. Maharaj

Loop Quantum Cosmology strongly modifies the high-energy dynamics of Friedman-Robertson-Walker models and removes the big-bang singularity. We investigate how LQC corrections affect the stability properties of the Einstein static universe.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Luca Parisi , Marco Bruni , Roy Maartens , Kevin Vandersloot

In this article, we investigate the impact of cosmological parameters on black holes using an exact solution to Einstein's equations that satisfies the Whittaker equation of state. We examine a spherically symmetric black hole in the…

广义相对论与量子宇宙学 · 物理学 2024-04-26 Santanu Tripathy , K Rajesh Nayak

We propose a class of theories that can limit scalars constructed from the extrinsic curvature. Applied to cosmology, this framework allows us to control not only the Hubble parameter but also anisotropies without the problem of…

广义相对论与量子宇宙学 · 物理学 2020-10-06 Yuki Sakakihara , Daisuke Yoshida , Kazufumi Takahashi , Jerome Quintin