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Related papers: Anisotropic Tolman V Solution by Minimal Gravitati…

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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

We use gravitational decoupling to establish a connection between the minimal geometric deformation approach and the standard method for obtaining anisotropic fluid solutions. Motivated by the relations that appear in the framework of…

General Relativity and Quantum Cosmology · Physics 2020-03-04 Gabriel Abellán , Victor Torres , Ernesto Fuenmayor , Ernesto Contreras

In this article, we propose a physical condition to extend interior isotropic solutions to anisotropic domains by gravitational decoupling in the framework of the Minimal Geometric Deformation approach. In particular, it is found that by…

General Relativity and Quantum Cosmology · Physics 2020-03-24 Gabriel Abellán , Angel Rincon , Ernesto Fuenmayor , Ernesto Contreras

This paper investigates the behavior of anisotropic static spheres that are constructed by employing a minimal geometric deformation in the framework of $f(R,T^{2})$ gravity ($T^{2}=T_{\zeta\nu}T^{\zeta\nu}$, $R$ is the Ricci scalar and…

General Relativity and Quantum Cosmology · Physics 2022-07-13 M. Sharif , Shazmeena Iltaf

This paper is devoted to evaluating exact anisotropic spherical solutions for static self-gravitating systems through extended geometric deformation decoupling technique. For this purpose, we consider an isotropic Tolman IV solution and…

General Relativity and Quantum Cosmology · Physics 2020-04-22 M. Sharif , Qanitah Ama-Tul-Mughani

In this work, we have adopted gravitational decoupling by Minimal Geometric Deformation (MGD) approach and have developed an anisotropic version of well-known Tolman VII isotropic solution in the framework of $f(R, T)$ gravity, where $R$ is…

General Relativity and Quantum Cosmology · Physics 2021-06-17 Hina Azmat , M. Zubair

In this paper, we derive multiple anisotropic analogs from the established isotropic model by means of the gravitational decoupling approach in a fluid-geometry interaction based theory. To accomplish this, we initially consider a static…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Tayyab Naseer , G. Mustafa

We show the first simple, systematic and direct approach to decoupling gravitational sources in general relativity. As a direct application, a robust and simple way to generate anisotropic solutions for self-gravitating systems from perfect…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Jorge Ovalle

The effective action for quantum gravity coupled to matter contains corrections arising from the functional measure. We analyse the effect of such corrections for anisotropic self-gravitating compact objects described by means of the…

General Relativity and Quantum Cosmology · Physics 2025-07-29 R. Casadio , I. Kuntz , R. da Rocha

In this paper, we adopt minimal gravitational decoupling scheme to extend a non-static spherically symmetric isotropic composition to anisotropic interior in…

General Relativity and Quantum Cosmology · Physics 2023-08-03 M. Sharif , Tayyab Naseer

In this work we propose a novel approach to integrate the Lane-Emden equations for relativistic anisotropic polytropes. We take advantage of the fact that Gravitational Decoupling allows to decrease the number of degrees of freedom once a…

General Relativity and Quantum Cosmology · Physics 2022-09-07 D. Santana , E. Fuenmayor , E. Contreras

We investigate the extension of isotropic interior solutions for static self-gravitating systems to include the effects of anisotropic spherically symmetric gravitational sources by means of the gravitational decoupling realised via the…

General Relativity and Quantum Cosmology · Physics 2018-02-13 J Ovalle , R Casadio , R da Rocha , A Sotomayor

In this work we develop a simple protocol to construct interior solutions through Gravitational Decoupling by the Minimal Geometric Deformation extended satisfying the vanishing complexity condition. The method is illustrated by using…

General Relativity and Quantum Cosmology · Physics 2022-09-07 E. Contreras , Z. Stuchlik

In the work, we present investigation on decoupling gravitational sources under the framework of $f(R,T)$ gravity. Basically the complete geometric deformation technique has been employed here which facilitates finding exact solutions to…

General Relativity and Quantum Cosmology · Physics 2024-03-21 S. K. Maurya , B. Mishra , Saibal Ray , Riju Nag

In this paper, we consider isotropic solution and extend it to two different exact well-behaved spherical anisotropic solutions through minimal geometric deformation method in $f(R,T,R_{\rho\eta}T^{\rho\eta})$ gravity. We only deform the…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Tayyab Naseer , M. Sharif

This paper formulates some new exact solutions to the field equations by means of minimal gravitational decoupling in the context of $f(\mathbb{R},\mathbb{T})$ gravity. For this purpose, we consider anisotropic spherical matter distribution…

General Relativity and Quantum Cosmology · Physics 2022-12-14 M. Sharif , Tayyab Naseer

This work is focused in the study of analytic anisotropic solutions to Einstein's field equations, describing spherically symmetric and static configurations by way of the gravitational decoupling through the method of Minimal Geometric…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Milko Estrada , Francisco Tello-Ortiz

In the present paper, we discuss the role of gravitational decoupling to isotropize the anisotropic solution of Einstein's field equations in the context of the complete geometric deformation (CGD) approach and its influence on the…

General Relativity and Quantum Cosmology · Physics 2022-02-09 S. K. Maurya , Riju Nag

By using the gravitational decoupling through the minimal geometric deformation approach (MGD-decoupling), we show a simple and powerful method to generate physically acceptable exact analytical solutions for anisotropic stellar…

General Relativity and Quantum Cosmology · Physics 2018-11-06 J Ovalle , A Sotomayor

We employ the gravitational decoupling approach for static and spherically symmetric systems to develop a simple and powerful method in order to a) continuously isotropize any anisotropic solution of the Einstein field equations, and b)…

General Relativity and Quantum Cosmology · Physics 2019-10-11 R. Casadio , E. Contreras , J. Ovalle , A. Sotomayor , Z. Stuchlick
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