Critical Heat Engines in Massive Gravity

Abstract

With in the extended thermodynamics, we study the efficiency ${\eta }_k$ of critical heat engines for charged black holes in massive gravity for spherical ($k=1$), flat ($k=0$) and hyperbolic ($k=-1$) topologies. Although, ${\eta }_k$ 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: ${\eta }_{-1}^{}<{\eta }_0^{}<{\eta }_{+1}^{}$. 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.

v1:20 pages, 18 figures;v2:27 pages, 15 figures, 2 Appendices and references added

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Cited by in corpus (1)

• Charged torus-like black holes as heat engines