Black string in dRGT massive gravity

Abstract We present a cylindrically symmetric solution, both charged and uncharged, which is known as a black string solution to the nonlinear ghost-free massive gravity found by de Rham, Gabadadze, and Tolley (dRGT). This “dRGT black string” can be thought of as a generalization of the black string...

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Main Authors: Lunchakorn Tannukij, Pitayuth Wongjun, Suchant G. Ghosh
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5426-0
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author Lunchakorn Tannukij
Pitayuth Wongjun
Suchant G. Ghosh
author_facet Lunchakorn Tannukij
Pitayuth Wongjun
Suchant G. Ghosh
author_sort Lunchakorn Tannukij
collection DOAJ
description Abstract We present a cylindrically symmetric solution, both charged and uncharged, which is known as a black string solution to the nonlinear ghost-free massive gravity found by de Rham, Gabadadze, and Tolley (dRGT). This “dRGT black string” can be thought of as a generalization of the black string solution found by Lemos. Moreover, the dRGT black string solution includes other classes of black string solution such as the monopole-black string ones since the graviton mass contributes to the global monopole term as well as the cosmological-constant term. To investigate the solution, we compute mass, temperature, and entropy of the dRGT black string. We found that the existence of the graviton mass drastically affects the thermodynamics of the black string. Furthermore, the Hawking–Page phase transition is found to be possible for the dRGT black string as well as the charged dRGT black string. The dRGT black string solution is thermodynamically stable for $$r>r_c$$ r > r c with negative thermodynamical potential and positive heat capacity while it is unstable for $$r<r_c$$ r < r c where the potential is positive.
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spelling doaj.art-f491ed4e847b443d84c35c37ae142eb52022-12-22T01:27:21ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-12-0177121810.1140/epjc/s10052-017-5426-0Black string in dRGT massive gravityLunchakorn Tannukij0Pitayuth Wongjun1Suchant G. Ghosh2Department of Physics, Faculty of Science, Mahidol UniversityThe Institute for Fundamental Study, Naresuan UniversityCentre of Theoretical Physics, Jamia Millia IslamiaAbstract We present a cylindrically symmetric solution, both charged and uncharged, which is known as a black string solution to the nonlinear ghost-free massive gravity found by de Rham, Gabadadze, and Tolley (dRGT). This “dRGT black string” can be thought of as a generalization of the black string solution found by Lemos. Moreover, the dRGT black string solution includes other classes of black string solution such as the monopole-black string ones since the graviton mass contributes to the global monopole term as well as the cosmological-constant term. To investigate the solution, we compute mass, temperature, and entropy of the dRGT black string. We found that the existence of the graviton mass drastically affects the thermodynamics of the black string. Furthermore, the Hawking–Page phase transition is found to be possible for the dRGT black string as well as the charged dRGT black string. The dRGT black string solution is thermodynamically stable for $$r>r_c$$ r > r c with negative thermodynamical potential and positive heat capacity while it is unstable for $$r<r_c$$ r < r c where the potential is positive.http://link.springer.com/article/10.1140/epjc/s10052-017-5426-0
spellingShingle Lunchakorn Tannukij
Pitayuth Wongjun
Suchant G. Ghosh
Black string in dRGT massive gravity
European Physical Journal C: Particles and Fields
title Black string in dRGT massive gravity
title_full Black string in dRGT massive gravity
title_fullStr Black string in dRGT massive gravity
title_full_unstemmed Black string in dRGT massive gravity
title_short Black string in dRGT massive gravity
title_sort black string in drgt massive gravity
url http://link.springer.com/article/10.1140/epjc/s10052-017-5426-0
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AT suchantgghosh blackstringindrgtmassivegravity