Phase Transitions in Higher Derivative Gravity

TL;DR

This paper explores phase transitions and stability of black holes, bubbles, and orbifolds in five-dimensional Gauss-Bonnet gravity within AdS space, analyzing their thermodynamics and implications for boundary gauge theories.

Contribution

It introduces a detailed thermodynamic analysis of higher derivative gravity phases and their boundary duals, including a new phenomenological model for boundary phases.

Findings

Identification of stable, unstable, and metastable black hole phases.

Analysis of bubble and orbifold instabilities.

Proposal of a boundary model mimicking bulk phases.

Abstract

This paper deals with black holes, bubbles and orbifolds in Gauss-Bonnet theory in five dimensional anti de Sitter space. In particular, we study stable, unstable and metastable phases of black holes from thermodynamical perspective. By comparing bubble and orbifold geometries, we analyse associated instabilities. Assuming AdS/CFT correspondence, we discuss the effects of this higher derivative bulk coupling on a specific matrix model near the critical points of the boundary gauge theory at finite temperature. Finally, we propose another phenomenological model on the boundary which mimics various phases of the bulk space-time.