Phase Transition of Electrically Charged Ricci-flat Black Holes

TL;DR

This paper investigates the phase transition between electrically charged Ricci-flat black holes and AdS soliton spacetime in five dimensions, revealing dependence on boundary circle sizes and analyzing stability within the AdS/CFT framework.

Contribution

It introduces a detailed analysis of phase transitions for charged Ricci-flat black holes and R-charged black holes, highlighting the influence of boundary topology and size.

Findings

Phase transition depends on the relative size of boundary circles.

Stability analysis of charged black holes is performed.

Transition conditions vary with boundary topology.

Abstract

We study phase transition between electrically charged Ricci-flat black holes and AdS soliton spacetime of Horowitz and Myers in five dimensions. Boundary topology for both of them is $S^1 \times S^1 \times R^2$. We consider Reissner-Nordstrom black hole and R-charged black holes and find that phase transition of these black holes to AdS soliton spacetime depends on the relative size of two boundary circles. We also perform the stability analysis for these black holes. In order to use the AdS/CFT correspondence, we work in the grand canonical ensemble.