Thermodynamical universality of the Lovelock black holes

TL;DR

This paper demonstrates that pure Lovelock b1-vacuum solutions exhibit universal thermodynamical properties, with temperature and entropy relationships to horizon radius independent of Lovelock order and dimension.

Contribution

It establishes that thermodynamical universality in Lovelock black holes occurs only for pure Lovelock b1-vacuum solutions, providing a unique characterization based on thermodynamics.

Findings

Thermodynamical parameters are universally related to horizon radius.

Entropy scales as rh and r^2 in odd and even dimensions respectively.

Universality uniquely identifies pure Lovelock b1-vacuum black holes.

Abstract

The necessary and sufficient condition for the thermodynamical universality of the static spherically symmetric Lovelock black hole is that it is the pure Lovelock {\Lambda}-vacuum solution. By universality we mean the thermodynamical parameters: temperature and entropy always bear the same relationship to the horizon radius irrespective of the Lovelock order and the spacetime dimension. For instance, the entropy always goes in terms of the horizon radius as rh and r^2 respectively for h odd and even dimensions. This universality uniquely identifies the pure Lovelock black hole with {\Lambda}.