Black hole entropy and the zeroth law of thermodynamics

Abstract

By mapping the nonadditive entropy composition law of the Bekenstein–Hawking formula to an additive one via the so-called "formal logarithm" operation, a new approach to the black hole entropy problem is considered. The new temperature function satisfies the zeroth law of thermodynamics, and turns out to be independent of the mass-energy parameter of the black hole in the case of the Schwarzschild solution. It is shown that pure isolated black holes are thermodynamically stable against spherically symmetric perturbations within this approach.