Stable and self-consistent charged gravastar model within the framework of $$f(R,\,T)$$ f ( R , T ) gravity

Abstract In this work, we discuss the configuration of a gravastar (gravitational vacuum stars) in the context of $$f(R, \,T )$$ f ( R , T ) gravity by employing the Mazur–Mottola conjecture (Mazur and Mottola in Report No. LA-UR-01-5067, 2001; Mazur and Mottola, Proc Natl Acad Sci USA 101:9545, 200...

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Main Authors: Piyali Bhar, Pramit Rej
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09548-0
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author Piyali Bhar
Pramit Rej
author_facet Piyali Bhar
Pramit Rej
author_sort Piyali Bhar
collection DOAJ
description Abstract In this work, we discuss the configuration of a gravastar (gravitational vacuum stars) in the context of $$f(R, \,T )$$ f ( R , T ) gravity by employing the Mazur–Mottola conjecture (Mazur and Mottola in Report No. LA-UR-01-5067, 2001; Mazur and Mottola, Proc Natl Acad Sci USA 101:9545, 2004). The gravastar is conceptually a substitute for a black hole theory as available in the literature and it has three regions with different equation of states. By assuming that the gravastar geometry admits a conformal Killing vector, the Einstein–Maxwell field equations have been solved in different regions of the gravastar by taking a specific equation of state as proposed by Mazur and Mottola. We match our interior spacetime to the exterior spherical region which is completely vacuum and described by the Reissner–Nordström geometry. For the particular choice of $$f(R,\,T)$$ f ( R , T ) of $$f(R, \,T )=R+2\gamma T$$ f ( R , T ) = R + 2 γ T , here we analyze various physical properties of the thin shell and also present our results graphically for these properties. The stability analysis of our present model is also studied by introducing a new parameter $$\eta $$ η and we explore the stability regions. Our proposed gravastar model in the presence of charge might be treated as a successful stable alternative of the charged black hole in the context of this version of gravity.
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spelling doaj.art-36bf187416424f0cb7950cfb7c63ef462022-12-21T22:31:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-08-0181811710.1140/epjc/s10052-021-09548-0Stable and self-consistent charged gravastar model within the framework of $$f(R,\,T)$$ f ( R , T ) gravityPiyali Bhar0Pramit Rej1Department of Mathematics, Government General Degree CollegeDepartment of Mathematics, Sarat Centenary CollegeAbstract In this work, we discuss the configuration of a gravastar (gravitational vacuum stars) in the context of $$f(R, \,T )$$ f ( R , T ) gravity by employing the Mazur–Mottola conjecture (Mazur and Mottola in Report No. LA-UR-01-5067, 2001; Mazur and Mottola, Proc Natl Acad Sci USA 101:9545, 2004). The gravastar is conceptually a substitute for a black hole theory as available in the literature and it has three regions with different equation of states. By assuming that the gravastar geometry admits a conformal Killing vector, the Einstein–Maxwell field equations have been solved in different regions of the gravastar by taking a specific equation of state as proposed by Mazur and Mottola. We match our interior spacetime to the exterior spherical region which is completely vacuum and described by the Reissner–Nordström geometry. For the particular choice of $$f(R,\,T)$$ f ( R , T ) of $$f(R, \,T )=R+2\gamma T$$ f ( R , T ) = R + 2 γ T , here we analyze various physical properties of the thin shell and also present our results graphically for these properties. The stability analysis of our present model is also studied by introducing a new parameter $$\eta $$ η and we explore the stability regions. Our proposed gravastar model in the presence of charge might be treated as a successful stable alternative of the charged black hole in the context of this version of gravity.https://doi.org/10.1140/epjc/s10052-021-09548-0
spellingShingle Piyali Bhar
Pramit Rej
Stable and self-consistent charged gravastar model within the framework of $$f(R,\,T)$$ f ( R , T ) gravity
European Physical Journal C: Particles and Fields
title Stable and self-consistent charged gravastar model within the framework of $$f(R,\,T)$$ f ( R , T ) gravity
title_full Stable and self-consistent charged gravastar model within the framework of $$f(R,\,T)$$ f ( R , T ) gravity
title_fullStr Stable and self-consistent charged gravastar model within the framework of $$f(R,\,T)$$ f ( R , T ) gravity
title_full_unstemmed Stable and self-consistent charged gravastar model within the framework of $$f(R,\,T)$$ f ( R , T ) gravity
title_short Stable and self-consistent charged gravastar model within the framework of $$f(R,\,T)$$ f ( R , T ) gravity
title_sort stable and self consistent charged gravastar model within the framework of f r t f r t gravity
url https://doi.org/10.1140/epjc/s10052-021-09548-0
work_keys_str_mv AT piyalibhar stableandselfconsistentchargedgravastarmodelwithintheframeworkoffrtfrtgravity
AT pramitrej stableandselfconsistentchargedgravastarmodelwithintheframeworkoffrtfrtgravity