Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet Gravity

We explore static spherically symmetric wormhole solutions in the framework of n-dimensional Einstein Gauss-Bonnet gravity. Our objective is to find out wormhole solutions that satisfy energy conditions. For this purpose, we consider two frameworks such as Gaussian distributed and Lorentzian distrib...

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Main Authors: Shamaila Rani, Abdul Jawad
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2016/7815242
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author Shamaila Rani
Abdul Jawad
author_facet Shamaila Rani
Abdul Jawad
author_sort Shamaila Rani
collection DOAJ
description We explore static spherically symmetric wormhole solutions in the framework of n-dimensional Einstein Gauss-Bonnet gravity. Our objective is to find out wormhole solutions that satisfy energy conditions. For this purpose, we consider two frameworks such as Gaussian distributed and Lorentzian distributed noncommutative geometry. Taking into account constant redshift function, we obtain solutions in the form of shape function. The fifth and sixth dimensional solutions with positive as well as negative Gauss-Bonnet coefficient are discussed. Also, we check the equilibrium condition for the wormhole solutions with the help of generalized Tolman-Oppenheimer-Volkoff equation. It is interesting to mention here that we obtain fifth dimensional stable wormhole solutions in both distributions that satisfy the energy conditions.
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institution Kabale University
issn 1687-7357
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publishDate 2016-01-01
publisher Wiley
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series Advances in High Energy Physics
spelling doaj-art-201bebfbfef5421aa0c1a01c99b07be42025-08-20T03:54:52ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/78152427815242Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet GravityShamaila Rani0Abdul Jawad1Department of Mathematics, COMSATS Institute of Information Technology, Lahore 54000, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Lahore 54000, PakistanWe explore static spherically symmetric wormhole solutions in the framework of n-dimensional Einstein Gauss-Bonnet gravity. Our objective is to find out wormhole solutions that satisfy energy conditions. For this purpose, we consider two frameworks such as Gaussian distributed and Lorentzian distributed noncommutative geometry. Taking into account constant redshift function, we obtain solutions in the form of shape function. The fifth and sixth dimensional solutions with positive as well as negative Gauss-Bonnet coefficient are discussed. Also, we check the equilibrium condition for the wormhole solutions with the help of generalized Tolman-Oppenheimer-Volkoff equation. It is interesting to mention here that we obtain fifth dimensional stable wormhole solutions in both distributions that satisfy the energy conditions.http://dx.doi.org/10.1155/2016/7815242
spellingShingle Shamaila Rani
Abdul Jawad
Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet Gravity
Advances in High Energy Physics
title Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet Gravity
title_full Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet Gravity
title_fullStr Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet Gravity
title_full_unstemmed Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet Gravity
title_short Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet Gravity
title_sort noncommutative wormhole solutions in einstein gauss bonnet gravity
url http://dx.doi.org/10.1155/2016/7815242
work_keys_str_mv AT shamailarani noncommutativewormholesolutionsineinsteingaussbonnetgravity
AT abduljawad noncommutativewormholesolutionsineinsteingaussbonnetgravity