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We present a class of relativistic solutions of cold compact anisotropic stars in hydrostatic equilibrium in the framework of higher dimensions using spheroidal geometry. The solutions obtained with Vaidya-Tikekar metric are used to…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Bikash Chandra Paul , Pradip Kumar Chattopadhyay , Shibshankar Kamakar

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

In this paper, we shall consider spherically symmetric spacetime solutions describing the interior of stellar compact objects, in the context of higher-order curvature theory of the f(R) type. We shall derive the non--vacuum field equations…

General Relativity and Quantum Cosmology · Physics 2021-06-28 G. G. L. Nashed , S. D. Odintsov , V. K. Oikonomou

We have presented a new anisotropic solution of Einstein's field equations for compact star models. The Einstein's field equations are solved by using the class one condition \cite{1}. After that we constructed the physically valid…

General Relativity and Quantum Cosmology · Physics 2016-08-01 S. K. Maurya , Smitha T. T. , Y. K. Gupta , Farook Rahaman

New exact solutions of Einstein's field equations for charged stellar models by assuming linear equation of state $ P_r=A(\rho-\rho_{a}) $, where $ P_r $ is the radial pressure and $ \rho_{a} $ is the surface density. By assuming $…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Rinkal Patel , B. S. Ratanpal , D. M. Pandya

A new class of solutions for Einstein's field equations representing a static spherically symmetric anisotropic distribution of matter is obtained on the background of pseudo-spheroidal spacetime. We have prescribed the bounds of the model…

General Relativity and Quantum Cosmology · Physics 2015-12-09 V. O. Thomas , D. M. Pandya

Einstein field equations for anisotropic spheres are solved and exact interior solutions obtained. This paper extends earlier treatments to include anisotropic models which accommodate a wider variety of physically viable energy densities.…

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

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 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 examine a spherically symmetric compact body with isotropic pressure profile, in this context we obtain a new class of exact solutions of Einstein's-Maxwell field equation for compact stars with uniform charged…

General Physics · Physics 2021-04-28 Amit Kumar Prasad , Jitendra Kumar

This paper investigates a spherically symmetric compact relativistic body with isotropic pressure profiles within the framework of general relativity. In order to solve the Einstein's field equations, we have considered the Vaidya-Tikekar…

Astrophysics of Galaxies · Physics 2021-11-29 Jitendra Kumar , Puja Bharti

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

We present a new class of solutions to the Einstein field equations for an anisotropic matter distribution in which the interior space-time obeys the Karmarkar condition. The necessary and sufficient condition required for a spherically…

General Physics · Physics 2017-01-10 Ksh. Newton Singh , Neeraj Pant , M. Govender

We address the equilibrium configurations and stability properties of anisotropic compact stars whose interior is described by a modified Chaplygin gas (MCG) equation of state in the framework of the regularized four-dimensional…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Anirudh Pradhan , Takol Tangphati , Ayan Banerjee , Javlon Rayimbaev

We present model for anisotropic compact star under the general theory of relativity of Einstein. In the study a 4-dimensional spacetime has been considered which is embedded into the 5-dimensional flat metric so that the spherically…

General Physics · Physics 2018-08-01 S. K. Maurya , Saibal Ray , Shounak Ghosh , Sarbajit Manna , Smitha T. T

Present paper provides a new model of anisotropic strange star corresponding to the exterior schwarzschild metric. The Einstein field equations have been solved by utilizing the Krori Barua (KB) ansatz in presence of quintessence field…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Piyali Bhar

New exact solutions of Einstein's field equations (EFEs) by assuming linear equation of state, $ p_r = \alpha (\rho - \rho_R) $ where $ p_r $ is the radial pressure and $ \rho_R $ is the surface density, are obtained on the background of a…

General Physics · Physics 2017-06-28 V. O. Thomas , D. M. Pandya

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

The popularity of the Finch-Skea ansatz to describe relativistic stellar model have encouraged us to study the analytic solutions of the Einstein field equation. We have presented a class of exact solutions to the field equations after…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Shyam Das , Koushik Chakraborty , Lipi Baskey , Saibal Ray

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