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In this work, we investigate the emergence of compact, anisotropic stellar structures through the gravitational decoupling scheme within the framework of complete geometric deformation. The study introduces a novel synthesis of two…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Z. Yousaf , Kazuharu Bamba , M. Z. Bhatti , S. Khan

In this paper, we extend the Finch-Skea isotropic ansatz representing a self-gravitating interior to two anisotropic spherical solutions within the context of Rastall gravity. For this purpose, we use a newly developed technique, named as…

General Relativity and Quantum Cosmology · Physics 2024-10-03 M. Sharif , M. Sallah

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

In this paper, we develop two anisotropic solutions for static self-gravitating spherical structure in the presence of electromagnetic field through gravitational decoupling approach in $f(G,T)$ theory, where $G$ and $T$ denote the…

General Relativity and Quantum Cosmology · Physics 2022-11-04 M. Sharif , Komal Hassan

In this paper, we consider static spherical structure to develop some anisotropic solutions by employing the extended gravitational decoupling scheme in the background of…

General Relativity and Quantum Cosmology · Physics 2023-02-10 M. Sharif , Tayyab Naseer

Durgapal's fifth isotropic solution describing spherically symmetric and static matter distribution is extended to an anisotropic scenario. To do so we employ the gravitational decoupling through the minimal geometric deformation scheme.…

General Relativity and Quantum Cosmology · Physics 2018-11-14 E. Morales , Francisco Tello-Ortiz

In this paper, we study the complexity factor of a static anisotropic sphere in the context of self-interacting Brans-Dicke theory. We split the Riemann tensor using Bel's approach to obtain structure scalars relating to comoving congruence…

General Relativity and Quantum Cosmology · Physics 2019-10-23 M. Sharif , Amal Majid

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

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 considers the Finch-Skea isotropic solution and extends its domain to three different anisotropic interiors by using the gravitational decoupling strategy in the context of $f(\mathcal{R},\mathcal{T})$ gravitational theory. For…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Tayyab Naseer , M. Sharif

A symmetry of Brans-Dicke gravity in (electro-)vacuo or in the presence of conformally invariant matter is presented and used as a solution-generating technique starting from a known solution as a seed. This novel technique is applied to…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Valerio Faraoni , Dilek K. Ciftci , Shawn D. Belknap-Keet

The purpose of this paper is to obtain exact solutions for charged anisotropic spherically symmetric matter configuration. For this purpose, we consider known solution for isotropic spherical system in the presence of electromagnetic field…

General Relativity and Quantum Cosmology · Physics 2018-07-04 M. Sharif , Sobia Sadiq

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

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 paper, we investigate the anisotropic interior spherically symmetric solutions by utilizing the extended gravitational decoupling method in the background of $f(G,T)$ gravity, where $G$ and $T$ signify the Gauss-Bonnet term and…

General Relativity and Quantum Cosmology · Physics 2024-06-05 M. Sharif , K. Hassan

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

This paper aims to derive a definition of complexity for a dynamic spherical system in the background of self-interacting Brans-Dicke gravity. We measure complexity of the structure in terms of inhomogeneous energy density, anisotropic…

General Relativity and Quantum Cosmology · Physics 2021-01-06 M. Sharif , Amal Majid

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

Simple generic extensions of isotropic Durgapal--Fuloria stars to the anisotropic domain are presented. These anisotropic solutions are obtained by guided minimal deformations over a self gravitating isotropic system. When the isotropic and…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Luciano Gabbanelli , Ángel Rincón , Carlos Rubio

This paper is devoted to studying charged anisotropic static spherically symmetric solutions through gravitationally decoupled minimal geometric deformation technique in $f(R)$ gravity. For this purpose, we first consider the known…

General Relativity and Quantum Cosmology · Physics 2019-07-24 M. Sharif , Arfa Waseem