Mass Bounds for Multidimensional Charged Dilatonic Black Holes

TL;DR

This paper derives mass bounds for multidimensional charged dilatonic black holes, revealing that in strong coupling limits the critical mass approaches zero, with special consideration for infinite internal spaces.

Contribution

It provides new mass bounds for multidimensional charged dilatonic black holes and analyzes the behavior in strong coupling and infinite internal space limits.

Findings

Mass bounds depend on the number of internal Ricci-flat spaces.

Critical mass approaches zero in the strong dilatonic coupling limit.

The case of infinite internal spaces is explicitly analyzed.

Abstract

The multidimensional charged dilatonic black hole solution with $n$ internal Ricci-flat spaces is considered. The bound on the mass of the black hole is obtained. In the strong dilatonic coupling limit the critical mass becomes zero. The case $n = \infty$ is also considered.