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Title: A class of black holes in dRGT massive gravity and their thermodynamical properties
Authors: Suchant G. Ghosh
Lunchakorn Tannukij
Pitayuth Wongjun
Jamia Millia Islamia
University of KwaZulu-Natal
Mahidol University
Naresuan University
Thailand Ministry of Education
Keywords: Engineering
Issue Date: 1-Mar-2016
Citation: European Physical Journal C. Vol.76, No.3 (2016)
Abstract: © 2016, The Author(s). We present an exact spherical black hole solution in de Rham, Gabadadze, and Tolley (dRGT) massive gravity for a generic choice of the parameters in the theory, and also discuss the thermodynamical and phase structure of the black hole in both the grand canonical and the canonical ensembles (for the charged case). It turns out that the dRGT black hole solution includes other known solutions to the Einstein field equations, such as the monopole-de Sitter–Schwarzschild solution with the coefficients of the third and fourth terms in the potential and the graviton mass in massive gravity naturally generates the cosmological constant and the global monopole term. Furthermore, we compute the mass, temperature and entropy of the dRGT black hole, and also perform thermodynamical stability analysis. It turns out that the presence of the graviton mass completely changes the black hole thermodynamics, and it can provide the Hawking–Page phase transition which also occurs for the charged black holes. Interestingly, the entropy of a black hole is barely affected and still obeys the standard area law. In particular, our results, in the limit (Formula presented.) , reduced exactly to the results of general relativity.
ISSN: 14346052
Appears in Collections:Scopus 2016-2017

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