Entropy Bounds for Rotating AdS Black Holes

Abstract

We propose novel thermodynamic inequalities that apply to stationary asymptotically Anti-de Sitter (AdS) black holes. These inequalities incorporate the thermodynamic volume and refine the reverse isoperimetric inequality. To assess the validity of our conjectures, we apply them to a wide range of analytical black hole solutions, observing compelling evidence in their favour. Intriguingly, our findings indicate that these inequalities may also apply for black holes of non-spherical horizon topology, as we show their validity as well for thin black rings in AdS.

14 pages, 1 figure; v2: updated to match published version

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Cited by in corpus (3)

• Novel topological classes in black hole thermodynamics
• Extended black hole thermodynamics from extended Iyer-Wald formalism
• ${\tilde{W}}^{1+}$ subclass: Extending the topological classification of black hole thermodynamics