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Static spherically symmetric solutions of the Einstein's field equations in isotropic coordinates representing perfect fluid matter distributions from Newtonian potential-density pairs are investigated. The approach is illustrated with…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Gonzalo García-Reyes

In this work we provide a framework for modeling compact stars in which the interior matter distribution obeys a generalised Chaplygin equation of state. The interior geometry of the stellar object is described by a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2016-05-05 Piyali Bhar , Megan Govender , Ranjan Sharma

In this paper we present a strange stellar model using Tolman $V$ type metric potential employing simplest form of the MIT bag equation of state (EOS) for the quark matter. We consider that the stellar system is spherically symmetric,…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Dibyendu Shee , Debabrata Deb , Shounak Ghosh , Saibal Ray , B. k. Guha

Two distinct non-singular interior models that describe anisotropic spherical configurations are presented in this work. We develop the Einstein field equations and the associated mass function in accordance with a static spherical…

General Relativity and Quantum Cosmology · Physics 2025-10-10 M. Sharif , Tayyab Naseer , Hira Shadab

We present a general solution of the Einstein gravitational field equations for the static spherically symmetric gravitational interior spacetime of an isotropic fluid sphere. The solution is obtained by transforming the pressure isotropy…

General Relativity and Quantum Cosmology · Physics 2015-06-17 M. K. Mak , T. Harko

Recently it has been proposed that the Gauss-Bonnet coupling parameter of Lovelock gravity may suitably be rescaled in order to admit physically viable models of celestial phenomena such that higher curvature effects are active in standard…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Sudan Hansraj , Ayan Banerjee , Lushen Moodly , M. K. Jasim

In this study, we demonstrate a new anisotropic solution to the Einstein field equations in Finch-Skea spacetime. The physical features of stellar configuration are studied in previous investigations. We create a model that meets all…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Ankita Jangid , B. S. Ratanpal , K Venkataratnam Kamma

A new class of solutions describing analytical solutions for compact stellar structures has been developed within the tenets of General Relativity. Considering the inherent anisotropy in compact stars, a stable and causal model for…

General Relativity and Quantum Cosmology · Physics 2021-10-14 Jay Solanki , Bhashin Thakore

The main objective of this paper is to investigate the impact of $f(\mathcal{Q},\mathcal{T})$ gravity on the geometry of anisotropic compact stellar objects, where $\mathcal{Q}$ is non-metricity and $\mathcal{T}$ is the trace of the…

General Relativity and Quantum Cosmology · Physics 2024-02-21 M. Zeeshan Gul , M. Sharif , Adeeba Arooj

We present a model of compact astrophysical object under General Theory of Relativity using the anisotropic extension of Tolman IV solution. The anisotropy function, derived from the model, remains well behaved throughout the interior of…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Shyam Das , Bikram Keshari Parida , Koushik Chakraborty , Saibal Ray

We develop a new model for a spherically symmetric dark matter fluid sphere containing two regions: {\bf (i)} Isotropic inner region with constant density and {\bf (ii)} Anisotropic outer region. We solve the system of field equation by…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Shyam Das , Nayan Sarkar , Monimala Mondal , Farook Rahaman

Aims: In the present work we search for a new model of compact star within embedding class one spacetime i.e., four dimensional spacetime embedded in five dimensional Pseudo Euclidean space. Methods: In particular we propose a new mass…

General Physics · Physics 2017-10-11 S. K. Maurya , Y. K. Gupta , Farook Rahaman , Monsur Rahaman , Ayan Banerjee

In this work, we develop a new relativistic model for a charged anisotropic compact star in the framework of modified symmetric teleparallel gravity, namely $f(Q)$-Euler-Heisenberg gravity. By employing the MIT bag model equation of state,…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Allah Ditta , M. Yousaf , G. Mustafa , S. K. Maurya , Farruh Atamurotov , Orhan Donmez , Sardor Murodov

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

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

Considering Vaidya-Tikekar metric, we obtain a class of solutions of the Einstein-Maxwell equations for a charged static fluid sphere. The physical 3-space (t=constant) here is described by pseudo-spheroidal geometry. The relativistic…

Solar and Stellar Astrophysics · Physics 2015-06-05 Pradip Kr. Chattopadhyay , Rumi Deb , Bikash Chandra Paul

In the present article, we have constructed a static charged anisotropic compact star model of Einstein field equations for a spherically symmetric space-time geometry. Specifically, we have extended the charged isotropic Heintzmann…

General Relativity and Quantum Cosmology · Physics 2018-08-29 E. Morales , Francisco Tello-Ortiz

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 some families of relativistic anisotropic charged fluid spheres have been obtained by solving Einstein-Maxwell field equations with preferred form of one of the metric potentials, a suitable forms of electric charge…

General Relativity and Quantum Cosmology · Physics 2014-09-02 Mohammad Hassan Murad , Saba Fatema

In this paper a new class of exact solutions of Einstein's field equations for compact stars with charged distributions is obtained on the basis of pseudo-spheroidal spacetime characterized by the metric potential…

General Physics · Physics 2015-11-16 V. O. Thomas , D. M. Pandya