A class of black holes in dRGT massive gravity and their thermodynamical properties

摘要: We present an exact spherical black hole solution in de Rham, Gabadadze, and Tolley (dRGT) massive gravity for a generic choice of the parameters theory, also discuss thermodynamical phase structure both grand canonical ensembles (for charged case). It turns out that dRGT includes other known solutions to Einstein field equations, such as monopole-de Sitter–Schwarzschild with coefficients third fourth terms potential graviton mass naturally generates cosmological constant global monopole term. Furthermore, we compute mass, temperature entropy hole, perform stability analysis. presence completely changes thermodynamics, it can provide Hawking–Page transition which occurs holes. Interestingly, is barely affected still obeys standard area law. In particular, our results, limit \(m_g \rightarrow 0\), reduced exactly results general relativity.