A holographic bound on the scaling contribution to black hole entropy

TL;DR

This paper establishes a rigorous link between the existence of specific black hole configurations and the holographic entropy bound, simplifying the counting of contributions to black hole entropy.

Contribution

It proves the equivalence between two-centered scaling solutions and the holographic entropy bound, providing a new method to count black hole microstates.

Findings

Proved the equivalence between two-centered scaling solutions and the holographic entropy bound.

Simplified the counting process for fuzzball-like contributions to black hole entropy.

Provided rigorous proofs for key theoretical relationships.

Abstract

We discuss the existence of scaling solutions for multicenter black hole configurations. One of the central results is the equivalence between the existence of two centered scaling solutions and the holographic entropy bound. This equivalence (and another one) are proved rigorously at the end of the paper, and allow to simplify the process counting of certain (fuzzball-like) contributions to black hole entropy.