Critical Heat Engines in Massive Gravity

Pavan Kumar Yerra; Chandrasekhar Bhamidipati

doi:10.1088/1361-6382/abb2d1

paper

Critical Heat Engines in Massive Gravity

arXiv:2005.10115 · doi:10.1088/1361-6382/abb2d1

Abstract

With in the extended thermodynamics, we study the efficiency $η_{k}$ of critical heat engines for charged black holes in massive gravity for spherical ( $k = 1$ ), flat ( $k = 0$ ) and hyperbolic ( $k = - 1$ ) topologies. Although, $η_{k}$ is in general higher (lower) for hyperbolic (spherical) topology, we show that this order can be reversed in critical heat engines with efficiency higher for spherical topology, following in particular the order: $η_{- 1}^{- 1} < η_{0}^{0} < η_{+ 1}^{+ 1}$ . Furthermore, the study of the near horizon region of the critical hole shows that, apart from the known $q \to \infty$ condition, additional scalings of massive gravity parameters, based on the topology of the geometry are required, to reveal the presence of a fully decoupled Rindler space-time with vanishing cosmological constant.

arXiv commentv1:20 pages, 18 figures;v2:27 pages, 15 figures, 2 Appendices and references added

Critical Heat Engines in Massive Gravity

Abstract

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