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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

We construct a toy model for compact stars based on the Finslerian structure of spacetime. By assuming a particular mass function, we find an exact solution of the Finsler-Einstein field equations with an anisotropic matter distribution.…

General Relativity and Quantum Cosmology · Physics 2015-12-01 Farook Rahaman , Nupur Paul , S. S. De , Saibal Ray , Md. Abdul Kayum Jafry

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

We investigate how to derive an isotropic stellar model in the framework of mimetic gravitational theory. Recently, this theory has gained big interest due to its difference from Einstein's general relativity (GR), especially in the domain…

General Relativity and Quantum Cosmology · Physics 2023-05-24 G. G. L. Nashed

In this article, we provide a new model of static charged anisotropic fluid sphere made of a charged perfect fluid in the context of 5D Einstein-Maxwell-Gauss-Bonnet (EMGB) gravity theory. To generate exact solutions of the EMGB field…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Pramit Rej , Abdelghani Errehymy , Mohammed Daoud

In this investigation, we present a singularity free interior solution of the Einstein field equation for a class of anisotropic compact objects in dimensions $D\geq4$. In accordance with the concept of Vaidya and Tikekar, the geometry of…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Koushik Ballav Goswami , Debadri Bhattacharjee , Anirban Saha , Pradip Kumar Chattopadhyay

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

Taking local anisotropy into consideration, in this paper, some new analytical models of relativistic anisotropic charged quark stars in linear and quadratic regime have been developed. The Einstein-Maxwell field equations have been solved…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Manuel Malaver , Rajan Iyer

This study simulates the characteristics of spherically symmetric, anisotropic compact stellar bodies with electrical charge within the framework of the $f(Q)$ theory of gravity. Employing the Krori-Barua metric ansatz (K.D. Krori, J.…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Debadri Bhattacharjee , Pradip Kumar Chattopadhyay

We investigate the impact of pressure anisotropy on the structural and geometric properties of neutron stars within general relativity, focusing primarily on the phenomenological Bowers-Liang (BL) model, and comparing selected results with…

General Relativity and Quantum Cosmology · Physics 2026-05-08 A. C. Khunt , K. Yavuz Ekşi , P. C. Vinodkumar

We study the gravitational collapse of a spherically symmetric anisotropic relativistic star within Einstein theory of gravity making use of one of our recently developed collapsing stellar models [{\it Astrophys. Space Sci.} {\bf361} 99…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Shyam Das , Bikash Chandra Paul , Ranjan Sharma

Using the gravitational decoupling by the minimal geometric deformation approach, we build an anisotropic version of the well-known Tolman VII solution, determining an exact and physically acceptable interior two-fluid solution that can…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Sudipta Hensh , Zdeněk Stuchlík

The concept of dark energy can be a candidate for preventing the gravitational collapse of compact objects to singularities. According to the usefulness of gravity's rainbow in UV completion of general relativity (by providing a new…

General Relativity and Quantum Cosmology · Physics 2022-10-25 A. Bagheri Tudeshki , G. H. Bordbar , B. Eslam Panah

The main objective of this study is to investigate the viability and stability of a pulsar filled with anisotropic matter in $f(\mathcal{Q}, \mathbb{T})$ gravity, where $\mathcal{Q}$ represents non-metricity and $\mathbb{T}$ is the trace of…

General Relativity and Quantum Cosmology · Physics 2025-09-05 M. Sharif , Iqra Ibrar

This research develops a well-established analytical solution of the Einstein-Maxwell field equations. We analyze the behavior of a spherically symmetric and static interior driven by a charged anisotropic matter distribution. The class I…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Y. Gomez-Leyton , Hina Javaid , L. S. Rocha , Francisco Tello-Ortiz

We consider the general situation of a compact relativistic body with anisotropic pressures in the presence of the electromagnetic field. The equation of state for the matter distribution is linear and may be applied to strange stars with…

General Relativity and Quantum Cosmology · Physics 2009-01-16 S. Thirukkanesh , S. D. Maharaj

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

One of the possible potential candidates for describing the universe's rapid expansion is modified gravity. In the framework of the modified theory of gravity $f(R,G)$, the present work features the materialization of anisotropic matter,…

General Relativity and Quantum Cosmology · Physics 2022-06-29 W. U. Rahman , M. Ilyas , Z. Yousaf , S. Ullah , F. Khan , R. khan

In the present paper we develop an algorithm for all spherically symmetric anisotropic charged fluid distribution. Considering a new source function $\nu(r)$ we find out a set of solutions which is physically well behaved and represent…

General Relativity and Quantum Cosmology · Physics 2017-06-12 S. K. Maurya , Y. K. Gupta , Saibal Ray

In this paper, we have presented a compact object model in the framework of Einstein-Gauss-Bonnet gravity (EGB) with a linear equation of state considering a metric potential proposed for Buchdahl (1959). The new obtained models satisfy all…

General Relativity and Quantum Cosmology · Physics 2023-01-24 Manuel Malaver , Rajan Iyer , Israr Khan
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