Compact objects by gravitational decoupling in f(R) gravity

Abstract 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 metric potentials which decomposes the system of non-linea...

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Main Authors: M. Sharif, Mariyah Aslam
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09436-7
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spelling doaj-b00b3de2ec2a4b489d354d2774e5658e2021-07-25T11:12:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-07-0181711710.1140/epjc/s10052-021-09436-7Compact objects by gravitational decoupling in f(R) gravityM. Sharif0Mariyah Aslam1Department of Mathematics, University of the PunjabDepartment of Mathematics, University of the PunjabAbstract 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 metric potentials which decomposes the system of non-linear field equations into two arrays: one set corresponding to seed source and the other one involves additional source terms. The domain of the isotropic solution is extended in the background of f(R) Starobinsky model by employing the metric potentials of Krori–Barua spacetime. We determine two anisotropic solutions by employing some physical constraints on the extra source. The values of unknown constants are computed by matching the interior and exterior spacetimes. We inspect the physical viability, equilibrium and stability of the obtained solutions corresponding to the star Her X-I. It is observed that one of the two extensions satisfies all the necessary physical requirements for particular values of the decoupling parameter.https://doi.org/10.1140/epjc/s10052-021-09436-7
collection DOAJ
language English
format Article
sources DOAJ
author M. Sharif
Mariyah Aslam
spellingShingle M. Sharif
Mariyah Aslam
Compact objects by gravitational decoupling in f(R) gravity
European Physical Journal C: Particles and Fields
author_facet M. Sharif
Mariyah Aslam
author_sort M. Sharif
title Compact objects by gravitational decoupling in f(R) gravity
title_short Compact objects by gravitational decoupling in f(R) gravity
title_full Compact objects by gravitational decoupling in f(R) gravity
title_fullStr Compact objects by gravitational decoupling in f(R) gravity
title_full_unstemmed Compact objects by gravitational decoupling in f(R) gravity
title_sort compact objects by gravitational decoupling in f(r) gravity
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2021-07-01
description Abstract 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 metric potentials which decomposes the system of non-linear field equations into two arrays: one set corresponding to seed source and the other one involves additional source terms. The domain of the isotropic solution is extended in the background of f(R) Starobinsky model by employing the metric potentials of Krori–Barua spacetime. We determine two anisotropic solutions by employing some physical constraints on the extra source. The values of unknown constants are computed by matching the interior and exterior spacetimes. We inspect the physical viability, equilibrium and stability of the obtained solutions corresponding to the star Her X-I. It is observed that one of the two extensions satisfies all the necessary physical requirements for particular values of the decoupling parameter.
url https://doi.org/10.1140/epjc/s10052-021-09436-7
work_keys_str_mv AT msharif compactobjectsbygravitationaldecouplinginfrgravity
AT mariyahaslam compactobjectsbygravitationaldecouplinginfrgravity
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