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This work investigates alternative theories of gravity, the solutions to their field equations and the constraints that can be imposed upon them from observation and experiment. Specifically, we consider the cosmologies and spherically…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Clifton

In a previously work, we undertook a static and anisotropic content in $f(T)$ theory and obtained new spherically symmetric solutions considering a constant torsion and some particular conditions for the pressure. In this paper, still in…

General Physics · Physics 2012-02-22 M. Hamani Daouda , Manuel E. Rodrigues , M. J. S. Houndjo

In the frame of Gauss-Bonnet gravity and in the limit of $D\to 4$, based on the fact that spherically symmetric solution derived using any of regularization schemes will be the same form as the original theory…

General Relativity and Quantum Cosmology · Physics 2022-03-07 G. G. L. Nashed , S. D. Odintsov , V. K. Oikonomou

Anisotropic cosmological models are investigated in the frame work of $f(R)$ gravity in the metric formalism. Plane symmetric models are considered to incorporate anisotropy in the expansion rates along different spatial directions. The…

General Relativity and Quantum Cosmology · Physics 2017-04-26 S K Tripathy , B Mishra

The present work is devoted to the study of anisotropic compact matter distributions within the framework of 5-dimensional Einstein-Gauss-Bonnet gravity. To solve the field equations, we have considered that the inner geometry is described…

General Physics · Physics 2020-01-08 Piyali Bhar , Ksh. Newton Singh , Francisco Tello-Ortiz

We address the equilibrium configurations and stability properties of anisotropic compact stars whose interior is described by a modified Chaplygin gas (MCG) equation of state in the framework of the regularized four-dimensional…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Anirudh Pradhan , Takol Tangphati , Ayan Banerjee , Javlon Rayimbaev

In this work, we investigate an anisotropic compact star's physical properties and stability in F(Q) gravity. The study focuses on the significance of F(Q) gravity on the structure and stability of compact star, considering non-perfect…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Sat Paul , Jitendra Kumar , Sunil Kumar Maurya , Sourav Choudhary , Sweeti Kiroriwala

The coupled system of the spherically symmetric Einstein--Maxwell differential equations is solved under two different source conditions: non-zero electric charge and pressure anisotropy. Expressions for the metric functions, and pressures…

General Relativity and Quantum Cosmology · Physics 2016-03-11 Ambrish M. Raghoonundun , David W. Hobill

We present a study of shearfree gravitational collapse using cylindrically symmetric spacetimes whose interior is a non-rotating dissipative fluid bounded by a cylindrical hypersurface beyond which is an Einstein-Rosen vacuum exterior. We…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Marie-Noëlle Célérier , Nilton O. Santos

The main emphasis of this paper is to find the viable solutions of Einstein Maxwell fields equations of compact star in context of modified $f(R)$ theory of gravity. Two different models of modified $f(R)$ gravity are considered. In…

General Relativity and Quantum Cosmology · Physics 2023-05-16 M. Farasat Shamir , Aisha Rashid

We address the problem of finding static and spherically symmetric anisotropic compact stars in general relativity that admit conformal motions. The study is framed in the language of f(R) gravity theory in order to expose opportunity for…

General Relativity and Quantum Cosmology · Physics 2017-07-06 Ayan Banerjee , Sumita Banerjee , Sudan Hansraj , Ali Ovgun

In this outline we recognize the idea of complexity factor for static anisotropic self-gravitating source with generalized $f(R)$ metric gravity theory. In present consideration, we express the Einstein field equations, hydrostatic…

General Relativity and Quantum Cosmology · Physics 2018-12-05 G. Abbas , H. Nazar

We establish a new algorithm that generates a new solution to the Einstein field equations, with an anisotropic matter distribution, from a seed isotropic solution. The new solution is expressed in terms of integrals of an isotropic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 M. Chaisi , S. D. Maharaj

The present work is devoted to investigate the Noether symmetries of the locally rotationally symmetric Bianchi type I space time in $f(T,B)$ gravity theory which depends on the torsion scalar $T$ and the boundary term $B$. In this theory,…

General Relativity and Quantum Cosmology · Physics 2018-07-16 Yusuf Kucukakca

Modified gravity is one of the potential candidates to explain the accelerated expansion of the universe. Current study highlights the materialization of anisotropic compact stars in the context of $f(R,G)$ theory of gravity. In particular,…

General Physics · Physics 2017-07-07 M. Farasat Shamir , Saeeda Zia

We consider static spherically symmetric self-gravitating configurations of the perfect fluid within the framework of the torsion-based extended theory of gravity. In particular, we use the covariant formulation of $f(T)$ gravity with $f(T)…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Sasa Ilijic , Marko Sossich

Ivanov pointed out substantial analytical difficulties associated with self-gravitating, static, isotropic fluid spheres when pressure explicitly depends on matter density. Simplification achieved with the introduction of electric charge…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Victor Varela , Farook Rahaman , Saibal Ray , Koushik Chakraborty , Mehedi Kalam

A method to construct interior axially symmetric metrics that appropriately match with any vacuum solution of the Weyl family is developed in Hernandez-Pastora etal. (Class Quantum Gravity 33:235005, 2016). It was shown,for the case of some…

General Relativity and Quantum Cosmology · Physics 2020-05-11 J. L. Hernandez-Pastora

In this work, we investigate some extensions of the Kiselev black hole solutions in the context of $f(\mathbb{T},\CMcal{T})$ gravity. By mapping the components of the Kiselev energy-momentum tensor into the anisotropic energy-momentum…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Franciele M. da Silva , Luis C. N. Santos , V. B. Bezerra

In this work, we report a new exact solution of Einstein's field equations for static spherically symmetric anisotropic matter distributions on the background of paraboloidal spacetime by assuming a quadratic equation of state. The model…

General Relativity and Quantum Cosmology · Physics 2025-08-25 B S Ratanpal , Bhavesh Suthar