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This paper explored the physical acceptability conditions for anisotropic matter configurations in General Relativity. The study considered a generalized polytropic equation of state $P=\kappa {\rho}^{\gamma}+\alpha \rho -\beta$ for a…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Daniel Suárez-Urango , J. Ospino , Héctor Hernández , Luis A. Núñez

This paper is devoted to discuss compact stars in $f(\mathscr{R},\mathscr{G})$ gravity, where $\mathscr{R}$ and $\mathscr{G}$ denote the Ricci scalar and Gauss-Bonnet invariant respectively. To meet this aim, we consider spherically…

General Relativity and Quantum Cosmology · Physics 2020-05-11 G. Mustafa , M. Farasat Shamir , Xia Tie-Cheng

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Sharma , S. D. Maharaj

This paper aims to explore some realistic configurations of anisotropic spherical structures in the background of metric $f(R)$ gravity, where $R$ is the Ricci scalar. The solutions obtained by Krori and Barua are used to examine the nature…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Z. Yousaf , M. Sharif , M. Ilyas , M. Z. Bhatti

We model a charged anisotropic relativistic star with a quadratic equation of state. Physical features of an exact solution of the Einstein-Maxwell system are studied by incorporating the effect of the nonlinear term from the equation of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 P. Mafa Takisa , S. D. Maharaj , Subharthi Ray

In this article, we are devoted to discuss different compact stars admitting anisotropic interiors in a particular modified theory of gravity. For this purpose, a spherically symmetric metric is adopted to formulate the field equations…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Tayyab Naseer , M. Sharif

Current study is focussed to discuss the existence of a new family of compact star solutions by adopting the Karmarkar condition in the background of Bardeen black hole geometry. For this purpose, we consider static spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2020-07-07 G. Mustafa , M. Farasat Shamir , Mushtaq Ahmad

We model the light HESS J1731-347 compact object (of known stellar mass and radius) within Einstein's General Relativity imposing the Karmarkar condition in gravity for anisotropic stars. The three free parameters of the analytic solution…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Grigoris Panotopoulos

In the present study we have proposed a new model of an anisotropic compact star which admits the Chaplygin equation of state. For this purpose, we consider Buchdahl ansatz. We obtain the solution of proposed model in closed form which is…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Amit Kumar Prasad , Jitendra Kumar , Abhijit Sarkar

This paper offers novel quintessence compact relativistic spherically symmetrical anisotropic solutions under the recently developed Ricci inverse gravity Amendola et al., 2020), by employing Krori and Barua gravitational potentials,…

General Relativity and Quantum Cosmology · Physics 2023-04-17 M. Farasat Shamir , Mushtaq Ahmad , G. Mustafa , Aisha Rashid

In this investigation we examine the astrophysical consequences of the influence of pressure anisotropy on the physical properties of observed pulsars within the background of $f(Q,T)$ gravity by choosing a specific form $f(Q, T)=\psi_1\, Q…

General Relativity and Quantum Cosmology · Physics 2025-10-08 S. K. Maurya , Abdul Aziz , Ksh. Newton Singh , G. Mustafa , Y. Sekhmani , Saibal Ray

We obtain well behaved interior solutions describing hydrostatic equilibrium of anisotropic relativistic stars in scale-dependent gravity, where Newton's constant is allowed to vary with the radial coordinate throughout the star. Assuming…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Grigoris Panotopoulos , Angel Rincon , Ilidio Lopes

We present a new class of solutions to the Einstein's field equations corresponding to a static spherically symmetric anisotropic system by generalizing the ansatz of Finch and Skea [Class. Quantum Grav. 6 (1989) 467] for the gravitational…

General Physics · Physics 2014-11-24 D. M. Pandya , V. O. Thomas , R. Sharma

The goal of this work is to develop physical models for spherically symmetric systems in the realm of $f(Q)$ gravity. The field equations are set up for anisotropic fluid and formulate these equations using physical ansatz of Vaidya-Tikekar…

General Relativity and Quantum Cosmology · Physics 2025-03-28 M. Awais , M. Azam

This paper is devoted to study the analytic models of anisotropic compact stars in $f(T)$ gravity (where $T$ is torsion scalar), with non-diagonal tetrad. By taking the anisotropic source inside the spherically symmetric star, the equations…

General Physics · Physics 2016-01-20 M. Zubair , G. Abbas

The main aim of this paper is to obtain a completely new relativistic non-singular model for static, spherically symmetric isotropic celestial compact stars in the $f(R, T)$ gravity scenario. In this regard, we have considered the isotropic…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Nayan Sarkar , Susmita Sarkar , Banashree Sen Moumita Sarkar , Farook Rahaman

This manuscript explores the compact geometries by employing Karmarkar condition with the charged anisotropic source of matter distribution. For this purpose, we consider an explicit model by indulging $\mathrm{g}_{rr}$ metric potential…

General Relativity and Quantum Cosmology · Physics 2021-05-05 M. Farasat Shamir , G. Mustafa , Mushtaq Ahmad

The companion to PSR J1622-0315, one of the most compact known redback millisecond pulsars, shows extremely low irradiation despite its short orbital period. We model this system to determine the binary parameters, combining optical…

Motivation: Motivated by the growing interest in understanding the role of non-metricity in describing dense stellar systems, in this paper, we study compact stellar configurations within the framework of linear $f(Q)$ gravity. Methodology:…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Arpita Ghosh , Abhishek Paul , Ranjan Sharma , Samstuti Chanda

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…

Astrophysics · Physics 2007-05-23 Krsna Dev , Marcelo Gleiser