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New exact interior solutions to the Einstein field equations for anisotropic spheres are found. We utilise a procedure that necessitates a choice for the energy density and the radial pressure. This class contains the constant density model…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Chaisi , S. D. Maharaj

In the frame of Gauss-Bonnet gravity and in the limit of $D\to 4$, based on the fact that spherically symmetric solution derived using any of regularization schemes will be the same form as the original theory…

General Relativity and Quantum Cosmology · Physics 2022-03-07 G. G. L. Nashed , S. D. Odintsov , V. K. Oikonomou

In the present work authors derive exact solutions for the relativistic compact stars in the presence of two fields axion (Dante's Inferno model) and with/without the complex scalar field (with the quartic self-interaction) coupled to…

General Relativity and Quantum Cosmology · Physics 2022-02-07 Oleksii Sokoliuk , Alexander Baransky , Praduymn Kumar Sahoo

Modified gravity is one of the potential candidates to explain the accelerated expansion of the universe. Current study highlights the materialization of anisotropic compact stars in the context of $f(R,G)$ theory of gravity. In particular,…

General Physics · Physics 2017-07-07 M. Farasat Shamir , Saeeda Zia

We address the problem of finding static and spherically symmetric anisotropic compact stars in general relativity that admit conformal motions. The study is framed in the language of f(R) gravity theory in order to expose opportunity for…

General Relativity and Quantum Cosmology · Physics 2017-07-06 Ayan Banerjee , Sumita Banerjee , Sudan Hansraj , Ali Ovgun

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

We investigate the spacetime of anisotropic stars admitting conformal motion. The Einstein field equations are solved using different ansatz of the surface tension. In this investigation, we study two cases in details with the anisotropy…

Astrophysics · Physics 2009-12-15 Farook Rahaman , Mubasher Jamil , Mehedi Kalam , Kaushik Chakraborty , Ashis Ghosh

The possible emergence of compact stars has been investigated in the recently introduced modified Gauss-Bonnet $f(\mathcal{G},T)$ gravity, where $\mathcal{G}$ is the Gauss-Bonnet term and ${T}$ is the trace of the energy-momentum tensor.…

General Relativity and Quantum Cosmology · Physics 2017-10-18 M. Farasat Shamir , Mushtaq Ahmad

In the current study, we investigated a specific model of anisotropic strange stars specially Her X-1, in the background of modified f(R,T) gravity by choosing f(R,T) = R+2{\xi}T, where R is Ricci scalar, T is the trace of the…

General Relativity and Quantum Cosmology · Physics 2022-02-17 H. D. Singh , J. Kumar

We obtain an approximate global stationary and axisymmetric solution of Einstein's equations which can be thought as a simple star model: a self-gravitating perfect fluid ball with a differential rotation motion pattern. Using the…

General Relativity and Quantum Cosmology · Physics 2017-10-04 A. Molina , E. Ruiz

We have proposed a model for relativistic compact star with anisotropy and analytically obtained exact spherically symmetric solutions describing the interior of the dense star admitting non-static conformal symmetry. Several features of…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Dibyendu Shee , Farook Rahaman , B. K. Guha , Saibal Ray

We present an anisotropic charged analogue of Kuchowicz (1971) solution of the general relativistic field equations in curvature coordinates by using simple form of electric intensity $E$ and pressure anisotropy factor $\Delta$ that involve…

General Relativity and Quantum Cosmology · Physics 2020-07-15 K N Singh , F Rahaman , N Pradhan , N Pant

In the present paper we obtain an anisotropic analogue of Durgapal-Fuloria (1985) perfect fluid solution. The methodology consists of contraction of anisotropic factor $\Delta$ by the help of both metric potentials $e^{\nu}$ and…

General Relativity and Quantum Cosmology · Physics 2015-06-02 S. K. Maurya , Y. K. Gupta , Saibal Ray , Baiju Dayanandan

This paper offers novel quintessence compact relativistic spherically symmetrical anisotropic solutions under the recently developed Ricci inverse gravity Amendola et al., 2020), by employing Krori and Barua gravitational potentials,…

General Relativity and Quantum Cosmology · Physics 2023-04-17 M. Farasat Shamir , Mushtaq Ahmad , G. Mustafa , Aisha Rashid

We find new classes of exact solutions to the Einstein-Maxwell system of equations for a charged sphere with a particular choice of the electric field intensity and one of the gravitational potentials. The condition of pressure isotropy is…

General Relativity and Quantum Cosmology · Physics 2009-03-19 K. Komathiraj , S. D. Maharaj

In static and spherically symmetric spacetime, we solve the Einstein Maxwell equations. The effective gravitational potential and the electric field for charged anisotropic fluid are defined in terms of two free parameters. For such…

Solar and Stellar Astrophysics · Physics 2017-02-20 Safiqul Islam , Satadal Datta , Tapas K Das

In this outline we recognize the idea of complexity factor for static anisotropic self-gravitating source with generalized $f(R)$ metric gravity theory. In present consideration, we express the Einstein field equations, hydrostatic…

General Relativity and Quantum Cosmology · Physics 2018-12-05 G. Abbas , H. Nazar

The main emphasis of this paper is to find the viable solutions of Einstein Maxwell fields equations of compact star in context of modified $f(R)$ theory of gravity. Two different models of modified $f(R)$ gravity are considered. In…

General Relativity and Quantum Cosmology · Physics 2023-05-16 M. Farasat Shamir , Aisha Rashid

The objective of this paper is to discuss anisotropic solutions representing static spherical self-gravitating systems in $f(R)$ theory. We employ the extended gravitational decoupling approach and transform temporal as well as radial…

General Relativity and Quantum Cosmology · Physics 2021-07-28 M. Sharif , Mariyah Aslam

Seven new solutions to the interior static and spherically symmetric Einstein's field equations (EFE) are found and investigated. These new solutions are a generalisation of the quadratic density fall-off profile of the Tolman VII solution.…

General Relativity and Quantum Cosmology · Physics 2016-05-02 Ambrish M. Raghoonundun