Notes on sums over horizons

Abstract

For a large class of black holes, we show that the sum of thermodynamic quantities over all the horizons is determined by the asymptotic data at infinity. For the Kerr-Newman metric, this proves a recent numerical observation by Hristov. We propose a new method to compute the sum of the entropies using a generalized Smarr formula. The higher-curvature corrections in Gauss-Bonnet gravity are discussed.

References in corpus (4)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Equal charge black holes and seven dimensional gauged supergravity
• Explicit black hole thermodynamics in natural variables

Cited by in corpus (1)

• Revisiting a family of five-dimensional charged, rotating black holes