Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity

TL;DR

This paper explores phase transitions involving Ricci flat black holes in Gauss-Bonnet and dilaton gravity, revealing conditions under which high-temperature phases are dominated by black holes or deformed AdS solitons.

Contribution

It demonstrates a new type of Hawking-Page phase transition between Ricci flat black holes and deformed AdS solitons in advanced gravity theories, extending previous understanding.

Findings

Phase transition occurs between Ricci flat black holes and deformed AdS solitons.

High temperature phase dominance varies with parameters in Gauss-Bonnet and dilaton gravity.

Transition behavior differs from Einstein gravity, showing richer phase structure.

Abstract

It is well-known that there exists a Hawking-Page phase transition between a spherical AdS black hole and a thermal AdS space. The phase transition does not happen between a Ricci flat AdS black hole whose horizon is a Ricci flat space and a thermal AdS space in the Poincare coordinates. However, the Hawking-Page phase transition occurs between a Ricci flat AdS black hole and an AdS soliton if at least one of horizon coordinates for the Ricci flat black hole is compact. We show a similar phase transition betwen the Ricci flat black holes and deformed AdS solitons in the Gauss-Bonnet gravity and the dilaton gravity with a Liouville-type potential including the gauged supergravity coming from the spherical reduction of Dp-branes in type II supergravity. In contrast to Einstein gravity, we find that the high temperature phase can be dominated either by black holes or deformed AdS solitons depending on parameters.