Stable Wormholes in the Background of an Exponential <i>f</i>(<i>R</i>) Gravity

The current paper is devoted to investigating wormhole solutions with an exponential gravity model in the background of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi mathvariant="script">...

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Main Authors: Ghulam Mustafa, Ibrar Hussain, M. Farasat Shamir
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/6/4/48
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author Ghulam Mustafa
Ibrar Hussain
M. Farasat Shamir
author_facet Ghulam Mustafa
Ibrar Hussain
M. Farasat Shamir
author_sort Ghulam Mustafa
collection DOAJ
description The current paper is devoted to investigating wormhole solutions with an exponential gravity model in the background of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi mathvariant="script">R</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> theory. Spherically symmetric static spacetime geometry is chosen to explore wormhole solutions with anisotropic fluid source. The behavior of the traceless matter is studied by employing a particular equation of state to describe the important properties of the shape-function of the wormhole geometry. Furthermore, the energy conditions and stability analysis are done for two specific shape-functions. It is seen that the energy condition are to be violated for both of the shape-functions chosen here. It is concluded that our results are stable and realistic.
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spelling doaj.art-832fe61696da4f98bdda2ce1c8a411472022-12-22T04:01:18ZengMDPI AGUniverse2218-19972020-03-01644810.3390/universe6040048universe6040048Stable Wormholes in the Background of an Exponential <i>f</i>(<i>R</i>) GravityGhulam Mustafa0Ibrar Hussain1M. Farasat Shamir2Department of Mathematics, Shanghai University, Shanghai 200444, ChinaSchool of Electrical Engineering and Computer Science, National University of Sciences and Technology, H-12, Islamabad, PakistanNational University of Computer and Emerging Sciences, Lahore Campus, Punjab 54000, PakistanThe current paper is devoted to investigating wormhole solutions with an exponential gravity model in the background of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi mathvariant="script">R</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> theory. Spherically symmetric static spacetime geometry is chosen to explore wormhole solutions with anisotropic fluid source. The behavior of the traceless matter is studied by employing a particular equation of state to describe the important properties of the shape-function of the wormhole geometry. Furthermore, the energy conditions and stability analysis are done for two specific shape-functions. It is seen that the energy condition are to be violated for both of the shape-functions chosen here. It is concluded that our results are stable and realistic.https://www.mdpi.com/2218-1997/6/4/48wormholesstabilityf(r) gravityenergy conditions
spellingShingle Ghulam Mustafa
Ibrar Hussain
M. Farasat Shamir
Stable Wormholes in the Background of an Exponential <i>f</i>(<i>R</i>) Gravity
Universe
wormholes
stability
f(r) gravity
energy conditions
title Stable Wormholes in the Background of an Exponential <i>f</i>(<i>R</i>) Gravity
title_full Stable Wormholes in the Background of an Exponential <i>f</i>(<i>R</i>) Gravity
title_fullStr Stable Wormholes in the Background of an Exponential <i>f</i>(<i>R</i>) Gravity
title_full_unstemmed Stable Wormholes in the Background of an Exponential <i>f</i>(<i>R</i>) Gravity
title_short Stable Wormholes in the Background of an Exponential <i>f</i>(<i>R</i>) Gravity
title_sort stable wormholes in the background of an exponential i f i i r i gravity
topic wormholes
stability
f(r) gravity
energy conditions
url https://www.mdpi.com/2218-1997/6/4/48
work_keys_str_mv AT ghulammustafa stablewormholesinthebackgroundofanexponentialifiirigravity
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