
TL;DR
This paper demonstrates that for many black holes, the sum of thermodynamic quantities across all horizons is dictated by data at infinity, introduces a new computation method, and discusses higher-curvature effects.
Contribution
It provides a general proof linking horizon sums to asymptotic data and proposes a novel approach to compute entropy sums, extending to higher-curvature gravity.
Findings
Sum of thermodynamic quantities determined by asymptotic data
New method for entropy sum calculation using generalized Smarr formula
Higher-curvature corrections in Gauss-Bonnet gravity analyzed
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.
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