Regular Black Holes: Entropy Products and Central Charges

TL;DR

This paper examines the entropy product of various regular black holes, finding that universality holds for some and allows derivation of dual CFT central charges, linking black hole thermodynamics with conformal field theory.

Contribution

It demonstrates that the universality of entropy products can be used to determine central charges of dual CFTs for regular black holes, connecting thermodynamics and holography.

Findings

Universality of entropy product holds for some regular black holes.

Central charges derived from entropy product match those from asymptotic symmetry group.

Entropy product universality provides a simple method to find dual CFT central charges.

Abstract

In this paper for variety types of regular black hole solutions, we investigate the entropy product of inner and outer horizons. Similar to singular black holes, for the regular ones we find that universality (mass independence) of the entropy product is true for some solutions and it fails for some others. In the case of regular black holes that respect the universality, we read central charges of the dual CFTs from the entropy product, according to the Thermodynamics method introduced in \cite{Chen:2013rb}. For these solutions we also calculate central charges, using the asymptotic symmetry group formalism. The results of these two approaches are the same, which means that universality of the entropy product provides a simple method to find central charges of the dual CFTs.