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arXiv · 1908.05118

Charged accelerating black hole in $f(R)$ gravity

Ming Zhang·Robert B. Mann
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Abstract

We obtain a charged accelerating AdS black hole solution in $f(R)$ gravity and investigate its thermodynamic behaviour. We consider low-acceleration black holes that do not have an acceleration horizon and obtain the first law of thermodynamics for them. We further study the parameter space of charged slowly accelerating $f(R)$ AdS black holes before investigating the behaviour of the free energy in both the canonical and grand canonical ensembles. We find a generalization of the reverse isoperimetric inequality, applicable to black holes in $f(R)$ gravity, that indicates these black holes can become super-entropic relative to their counterparts in Einstein gravity.

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Ming Zhang, Robert B. Mann. 2019-08-14. Charged accelerating black hole in $f(R)$ gravity. https://doi.org/10.1103/physrevd.100.084061

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