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Related papers: Compact Relativistic Stars under Karmarkar Conditi…

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The main goal of this work is to provide a comprehensive study of relativistic structures in the context of recently proposed {$\mathcal{R}+ \alpha \mathcal{A}$} gravity, where $\mathcal{R}$ is the Ricci scalar, and $\mathcal{A}$ is the…

General Relativity and Quantum Cosmology · Physics 2023-04-11 M. Farasat Shamir , Eesha Meer

In this study, we present a generalized spherically symmetric, anisotropic and static compact stellar model in $f(T)$ gravity, where $T$ represents the torsion scalar. By employing the Karmarkar condition we have obtained embedding class 1…

General Relativity and Quantum Cosmology · Physics 2018-11-30 Debabrata Deb , Shounak Ghosh , S. K. Maurya , Maxim Khlopov , Saibal Ray

In this work we obtain an analytic and well behaved solution to Einstein's field equations describing anisotropic matter distribution. It's achieved in the embedding class one spacetime framework using Karmarkar's condition. We ansatz the…

General Relativity and Quantum Cosmology · Physics 2018-10-29 Francisco Tello-Ortiz

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 present a new class of spherically symmetric spacetimes for matter distributions with anisotropic pressures in the presence of an electric field. The equation of state for the matter distribution is linear. A class of new exact solutions…

General Relativity and Quantum Cosmology · Physics 2016-01-06 Sifiso A. Ngubelanga , Sunil D. Maharaj , Subharthi Ray

In this work, an exact solution of Einstein's field equations in isotropic coordinates for anisotropic matter distribution is obtained by considering a particular metric choice of metric potential $g_{rr}$. To check the feasibility of the…

General Relativity and Quantum Cosmology · Physics 2022-06-29 B. S. Ratanpal , Bhavesh Suthar

A class of solutions of Einstein field equations satisfying Karmarkar embedding condition is presented which could describe static, spherical fluid configurations, and could serve as models for compact stars. The fluid under consideration…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Lipi Baskey , Shyam Das , Farook Rahaman

In this paper, we develop a new class of models for a compact star with anisotropic stresses inside the matter distribution. By assuming a linear equation of state for the anisotropic matter composition of the star we solve the Einstein…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Shyam Das , Saibal Ray , Maxim Khlopov , K. K. Nandi , Bikram Keshari Parida

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

The main aim of this study is to examine the behaviour of physical parameters of an anisotropic compact star model demonstrating spherical symmetry in F(Q) modified gravity. To evaluate the behaviour and the stability of an anisotropic…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Sat Paul , Jitendra Kumar , S. K. Maurya

We obtain solutions of the time-dependent Einstein Field Equations which satisfy the Karmarkar condition via the method of Lie symmetries. Spherically symmetric spacetime metrics are used with metric functions set to impose conformal…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Andronikos Paliathanasis , Robert S. Bogadi , Megandhren Govender

In this present work, we have obtained a singularity-free spherically symmetric stellar model with anisotropic pressure in the background of Einstein's general theory of relativity. The Einstein's field equations have been solved by…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Piyali Bhar , Pramit Rej , P. Mafa Takisa , M. Zubair

In this work, we provide a novel exact solution to the Einstein-Maxwell field equations in isotropic coordinates for charged anisotropic matter distribution, achieved by considering one of the metric potentials as well as a particular form…

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

We find new exact solutions to the Einstein-Maxwell field equations which are relevant in the description of highly compact stellar objects. The relativistic star is charged and anisotropic with a quark equation of state. Exact solutions of…

General Relativity and Quantum Cosmology · Physics 2017-01-04 D. Kileba Matondo , S. D. Maharaj

This paper discusses a generalized model for compact stars, assumed to be anisotropic in nature due to the spherical symmetry and high density. After embedding the four-dimensional spacetime in a five-dimensional flat spacetime, which may…

General Physics · Physics 2018-03-09 S. K. Maurya , Debabrata Deb , Saibal Ray , P. K. F. Kuhfittig

We present a model for compact stars in the low mass X-ray binaries(LMXBs) and X-ray pulsars using a metric given by John J. Matese and Patrick G. Whitman \citep{Matese and Whitman1980}. Here the field equations are reduced to a system of…

General Relativity and Quantum Cosmology · Physics 2014-10-02 Mehedi Kalam , Sk. Monowar Hossein , Sajahan Molla

In this article, we explore some emerging properties of the stellar objects in the frame of the $f(R,T)$ gravity by employing the well-known Karmarkar condition, where $R$ and $T$ represent Ricci scalar and trace of energy momentum tensor…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Zoya Asghar , M. Farasat Shamir , Ammara Usman , Adnan Malik

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

In this work we present the Karmarkar condition in terms of the structure scalars obtained from the orthogonal decomposition of the Riemann tensor. This the new expression becomes an algebraic relation among the physical variables, and not…

General Relativity and Quantum Cosmology · Physics 2020-03-18 J. Ospino , L. A. Nunez

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