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In this work, we explore a class of compact charged spheres that have been tested against experimental and observational constraints with some known compact stars candidates. The study is performed by considering the self-gravitating,…

General Physics · Physics 2018-08-01 Jitendra Kumar , Amit Kumar Prasad , S. K. Maurya , Ayan Banerjee

We develop a static charged stellar model in $f(R,T)$ gravity where the modification is assumed to be linear in $T$ which is the trace of the energy momentum tensor. The exterior spacetime of the charged object is described by the…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Soumik Bhattacharya , Ranjan Sharma , Sunil D. Maharaj

We investigate the properties of relativistic star spheres made of an electrically charged incompressible fluid, generalizing, thus, the Schwarzschild interior solution. The investigation is carried by integrating numerically the…

General Relativity and Quantum Cosmology · Physics 2014-08-11 José D. V. Arbañil , José P. S. Lemos , Vilson T. Zanchin

At constant time $t$, we examine the Vaidya-Tikekar metric characterising a three-dimensional, extremely dense spheroidal star configuration. The static, spherically symmetric solution of Einstein's field equations can be expressed in…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Naren Babu O. , Hemalatha. R , Narayanankutty Karuppath , Sabu M. C

We obtain higher dimensional solutions for super compact star for the Buchdahl-Vaidya-Tikekar metric ansatz. In particular, Vaidya and Tikekar characterized the $3$-geometry by a parameter, $K$ which is related to the sign of density…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Avas Khugaev , Naresh Dadhich , Alfred Molina

This paper aims to explore a class of static stellar equilibrium configuration of relativistic charged spheres made of a charged perfect fluid. Solving the Einstein-Maxwell field equations, we consider a particularized metric potential,…

General Relativity and Quantum Cosmology · Physics 2021-05-11 J. Kumar , S. K. Maurya , A. K. Prasad , Ayan Banerjee

In this paper, we have constructed a model for well behaved isotropic compact star in the presence of charged perfect fluid, by considering a static and spherically symmetric metric in Schwarzschild's canonical coordinate system. To put the…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Jitendra Kumar , Puja Bharti

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

Buchdahl, by imposing a few physical assumptions on the matter, i.e., its density is a nonincreasing function of the radius and the fluid is a perfect fluid, and on the configuration, such as the exterior is the Schwarzschild solution,…

General Relativity and Quantum Cosmology · Physics 2016-03-23 José P. S. Lemos , Vilson T. Zanchin

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

We obtain a new class of solutions by revisiting the Vaidya-Tikekar stellar model in the linear regime. Making use of the Vaidya and Tikekar metric ansatz [J. Astrophys. Astron. {\bf3} (1982) 325] describing the spacetime of static…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Ranjan Sharma , Shyam Das , Megan Govender , Dishant M. Pandya

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 superdense relativistic stars with anisotropic matter distributions with spheroidal spatial hypersurfaces. We propose a methodology to make an anisotropic generalization of the Vaidya-Tikekar superdense star model. The anisotropic…

General Relativity and Quantum Cosmology · Physics 2020-06-23 S. Thirukkanesh , Ranjan Sharma , Sunil D. Maharaj

We generalise the Buchdahl-Bondi limit for the case of static, spherically symmetric, relativistic compact stars immersed in Schwarzschild vacuum in f(R)-theory of gravity, subject to very generic regularity, thermodynamic stability and…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki

The so-called Buchdahl limit is not yet fully understood in the context of theories of gravity beyond the Einsteinian framework. In this investigation, we generalize this limit for the case of static, spherically-symmetric, relativistic…

General Relativity and Quantum Cosmology · Physics 2025-04-14 Raul Carpio Fernandez , Alvaro de la Cruz-Dombriz

We obtain the Buchdahl compactness limit for a pure Lovelock static fluid star and verify that the limit following from the uniform density Schwarzschild's interior solution, which is universal irrespective of the gravitational theory…

General Relativity and Quantum Cosmology · Physics 2017-06-06 Naresh Dadhich , Sumanta Chakraborty

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

The Schwarzschild interior solution, when combined with the assumption of a finite central pressure, leads to the well-known Buchdahl bound. This bound establishes an upper limit on the mass-to-radius ratio of an object, which is equivalent…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Christian G. Boehmer , Naresh Dadhich , Surajit Das

In this article, we present a class of relativistic solutions describing spherically symmetric and static anisotropic stars in hydrostatic equilibrium. For this purpose, we consider a particularized matric potential, namely, Buchdahl ansatz…

General Relativity and Quantum Cosmology · Physics 2021-08-03 S. K. Maurya , Ayan Banerjee , M. K. Jasim , J. Kumar , A. K. Prasad , Anirudh Pradhan

One of the theoretical motivations behind the belief that black holes as described by general relativity exist in nature is that it is hard to find matter configurations that mimic their properties, especially their compactness. One of the…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Julio Arrechea , Carlos Barceló , Gerardo García-Moreno , José Polo-Gómez
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