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In this paper, we study the effects of modification of gravity on the problem of dynamical instability of the spherical relativistic anisotropic interiors. We have considered non-zero influence of expansion scalar throughout during the…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Z. Yousaf , Kazuharu Bamba , M. Z. Bhatti , U. Farwa

In this paper, we found new classes of solutions to the Einstein-Maxwell field equations with matter anisotropic distribution incorporating a particular form of electric field intensity within the framework of general relativity. We use a…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Manuel Malaver , Rajan Iyer

In the present work, we have discussed the four dimensional spherically symmetric steller system in the framework of modified $f(T)$ gravity theory with electro-magnetic field. The field equations have been written for two cases, either…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Ujjal Debnath

In this work, we present a class of relativistic and well-behaved solution to Einstein's field equations for anisotropic matter distribution. We perform our analysis by using the Buchdahl ansatz for the metric function grr. Three different…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Amit Kumar Prasad , Jitendra Kumar

This paper discusses the interior distribution of several anisotropic star models coupled with an electromagnetic field in the context of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ gravity, where…

General Relativity and Quantum Cosmology · Physics 2023-09-15 M. Sharif , Tayyab Naseer

This paper is devoted to studying anisotropic compact stellar structures by adopting embedding class-1 technique in the background of modified Gauss-Bonnet gravity. The unknown constants are evaluated by the matching of interior spacetime…

General Relativity and Quantum Cosmology · Physics 2020-10-28 M. Sharif , Amna Ramzan

A new model of charged compact star is reported by solving the Einstein-Maxwell field equations by choosing a suitable form of radial pressure. The model parameters $\rho$, $p_r$, $p_{\perp}$ and $E^{2}$ are in closed form and all are well…

General Relativity and Quantum Cosmology · Physics 2018-01-08 B. S. Ratanpal , Piyali Bhar

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

This article focuses on different anisotropic models within the framework of a specific modified $f(\mathcal{R},\mathcal{T},\mathcal{R}_{\zeta\gamma}\mathcal{T}^{\zeta\gamma})$ gravity theory. The study adopts a static spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Yihu Feng , Tayyab Naseer , G. Mustafa , S. K. Maurya

Rastall's theory is a modification of Einstein's theory of gravity where the covariant divergence of the stress-energy tensor is no more vanishing, but proportional to the gradient of the Ricci scalar. The motivation of this theory is to…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Gabriel F. Silva , Oliver F. Piattella , Julio C. Fabris , Luciano Casarini , Taislane O. Barbosa

This paper investigates realistic anisotropic matter configurations for spherical symmetry in the framework of $f(R)$ gravity. The solutions obtained from Buchdahl-I metric are used to determine the behavior of PSR J0740+6620, PSR…

General Relativity and Quantum Cosmology · Physics 2025-02-24 A. Zahra , S. A. Mardan , Muhammad Bilal Riaz , S. Saleem

The condition for pressure isotropy is reduced to a recurrence equation with variable, rational coefficients of order three. We prove that this difference equation can be solved in general. Consequently we can find an exact solution to the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. J. John , S. D. Maharaj

We construct a gravitationally decoupled anisotropic strange star model using the minimal geometric deformation approach with a MIT bag equation of state and an additional source sector controlled by a deformation parameter $\beta$ and a…

General Relativity and Quantum Cosmology · Physics 2026-04-17 K. N. Singh , S. K. Maurya , A. Errehymy , A. Altaibayeva , J. Rayimbaev , M. Matyoqubov

We present the first interior solutions representing compact stars in $\kappa(\mathcal{R},\mathcal{T})$ gravity, by solving the modified field equations in isotropic coordinates. Further, we have assumed the metric potentials in…

General Relativity and Quantum Cosmology · Physics 2022-12-02 Ginés R. Pérez Teruel , Ksh. Newton Singh , Farook Rahaman , Tanmoy Chowdhury

We present a novel relaxation method to build three-dimensional rotating structures of barotropic bodies using the SPH technique. The method is able to relax gaseous structures in rigid as well as differential rotation. The relaxation…

Solar and Stellar Astrophysics · Physics 2020-05-20 Domingo García-Senz , Rubén M. Cabezón , José M. Blanco Iglesias , Pablo Lorén-Aguilar

This paper aims to examine the composition of various spherically symmetric star models which are coupled with anisotropic configuration in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ gravity, where…

General Relativity and Quantum Cosmology · Physics 2024-07-03 M. Sharif , T. Naseer

The recent theoretical advance known as the Minimal Geometric Deformation (MGD) method has initiated a renewed interest in investigating higher curvature gravitational effects in relativistic astrophysics. In this work, we model a strange…

General Relativity and Quantum Cosmology · Physics 2022-02-16 S. K. Maurya , Ksh. Newton Singh , M. Govender , Sudan Hansraj

In this paper, we study the complexity factor for a charged anisotropic self-gravitating object. We formulate the Einstein-Maxwell field equations, Tolman-Opphenheimer-Volkoff equation, and the mass function. We form the structure scalars…

General Relativity and Quantum Cosmology · Physics 2018-09-26 M. Sharif , Iqra Ijaz Butt

The Einstein-Maxwell (or Einstein) system of field equations plays a substantial role in the modeling of compact stars. Although due to its non-linearity getting an exact solution for the system of field equations is a difficult task, the…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Jitendra Kumar , Puja Bharti

A new class of solutions to Einstein's classical field equations of general relativity is presented. The solutions describe a non-rotating, spherically symmetric, compact self gravitating object, residing in a static electro-vacuum space…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Petri