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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MDPI AG
2020-03-01
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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. |
first_indexed | 2024-04-11T21:48:39Z |
format | Article |
id | doaj.art-832fe61696da4f98bdda2ce1c8a41147 |
institution | Directory Open Access Journal |
issn | 2218-1997 |
language | English |
last_indexed | 2024-04-11T21:48:39Z |
publishDate | 2020-03-01 |
publisher | MDPI AG |
record_format | Article |
series | Universe |
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 |
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