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In this paper, we consider the mimetic gravitational theory to derive a novel category of anisotropic star models. To end and to put the resulting differential equations into a closed system, the form of the metric potential $g_{rr}$ as…

General Relativity and Quantum Cosmology · Physics 2021-10-11 G. G. L. Nashed

We put forward a new definition of complexity, for static and spherically symmetric self--gravitating systems, based on a quantity, hereafter referred to as complexity factor, that appears in the orthogonal splitting of the Riemann tensor,…

General Relativity and Quantum Cosmology · Physics 2018-03-14 L. Herrera

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

In this work we construct an ultracompact star configuration in the framework of Gravitational Decoupling by the Minimal Geometric Deformation approach. We use the complexity factor as a complementary condition to close the system of…

General Relativity and Quantum Cosmology · Physics 2021-09-15 M. Carrasco-Hidalgo , E. Contreras

The accelerated expansion of the Universe can be suitably attributed to the existence of the dark energy (DE). On the backdrop of this concept, this paper introduces a novel, anisotropic compact star model whose stability and structure are…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Meghanil Sinha , S. Surendra Singh

In this paper, we investigate anisotropic static spherically symmetric solutions in the framework of $f(\mathcal{G})$ gravity through gravitational decoupling approach. For this purpose, we consider Krori and Barua (known solution)…

General Relativity and Quantum Cosmology · Physics 2018-12-06 M. Sharif , Saadia Saba

Among the general class of metric-affine theories of gravity, there is a special class conformed by those endowed with a projective symmetry. Perhaps the simplest manner to realise this symmetry is by constructing the action in terms of the…

General Relativity and Quantum Cosmology · Physics 2021-04-23 Jose Beltrán Jiménez , Daniel de Andrés , Adrià Delhom

This paper formulates three different analytical solutions to the gravitational field equations in the framework of Rastall theory by taking into account the gravitational decoupling approach. For this, the anisotropic spherical interior…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Tayyab Naseer

Anisotropic stresses are ubiquitous in nature, but their modeling in General Relativity is poorly understood and frame dependent. We introduce the first study on the dynamical properties of anisotropic self-gravitating fluids in a covariant…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Guilherme Raposo , Paolo Pani , Miguel Bezares , Carlos Palenzuela , Vitor Cardoso

In this work, we have made a systematic study of how the gravitational wave frequency of the fundamental mode from compact stars is affected by anisotropic effects using realistic equations of state. Our study is an extension of the seminal…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Elvis J. Aquino Curi , Luis B. Castro , Cesar V. Flores , César H. Lenzi

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

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

This paper investigates the complexity of a charged static sphere filled with anisotropic matter in the background of energy-momentum squared gravity. For this purpose, we evaluate the modified field and conservation equations to determine…

General Relativity and Quantum Cosmology · Physics 2022-05-19 M. Sharif , Ayesha Anjum

Recent multi-messenger observations, including gravitational wave detections of compact objects in the neutron star-black hole mass-gap region and precise measurements of high-mass pulsars, motivate mechanisms capable of enlarging the…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Samstuti Chanda , Ranjan Sharma

The present work is focused on the investigation of the existence of compact structures describing anisotropic matter distributions within the framework of modified gravity theories, specifically f(R,$\mathcal{T}$) gravity theory.…

General Relativity and Quantum Cosmology · Physics 2019-08-14 S. K. Maurya , Abdelghani Errehymy , Debabrata Deb , Francisco Tello-Ortiz , Mohammed Daoud

Within the metric formalism of $f(R)$ theories of gravity, where $R$ is the Ricci scalar, we study the hydrostatic equilibrium structure of compact stars with the inclusion of anisotropic pressure. In particular, we focus on the $f(R)=…

General Relativity and Quantum Cosmology · Physics 2022-07-11 Juan M. Z. Pretel , Sergio B. Duarte

In this paper, we consider well known Tolman V perfect fluid solution and extend it to its an anisotropic version using gravitational decoupling by minimal geometric deformation approach and analyze the behavior of new version of the…

General Relativity and Quantum Cosmology · Physics 2020-09-29 M. Zubair , Hina Azmat

Stars can be treated as self-gravitating fluid. In this connection, we propose a model for an anisotropic star under the relativistic framework of Krori-Barua (1975) spacetime. It is shown that the solutions are regular and singularity…

General Physics · Physics 2015-06-12 Mehedi Kalam , Farook Rahaman , Sk. Monowar Hossein , Saibal Ray

We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the…

General Relativity and Quantum Cosmology · Physics 2017-10-04 T. Harko , M. K. Mak

This paper constructs three different anisotropic extensions of the existing isotropic solution to the modified field equations through the gravitational decoupling in $f(\mathbb{R},\mathbb{T})$ theory. For this, we take a static sphere…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Tayyab Naseer , M. Sharif