Null hypersurface caustics and super-entropic black holes

Abstract

We obtain a charged, rotating and accelerating black hole solution in the $f(R)$ gravity and calculate thermodynamic quantities of the black hole in the slow acceleration regime. We then find that the black hole can be super-entropic in a certain condition. After investigating the null hypersurface of the black hole, we show that there exist super-entropic black holes whose null hypersurface caustics only form inside the Cauchy horizon.

8 pages, 1 figures

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Cited by in corpus (1)

• Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions