Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation

TL;DR

This paper investigates how higher-order curvature terms in dilatonic Einstein-Gauss-Bonnet gravity influence black hole thermodynamics and phase transitions in anti-de Sitter spacetime, revealing unique transition behaviors not seen in Einstein's gravity.

Contribution

It demonstrates the impact of Gauss-Bonnet terms on black hole phase transitions and thermodynamic stability in dilatonic gravity, highlighting differences from classical Einstein gravity.

Findings

Phase transition from thermal AdS to small spherical black hole

Transition to hyperbolic black hole geometry in dilatonic Einstein-Gauss-Bonnet theory

Higher-order curvature terms affect thermodynamic properties and stability

Abstract

We study the thermodynamic properties of a black hole and the Hawking-Page phase transition in the asymptotically anti--de Sitter spacetime in the dilatonic Einstein-Gauss-Bonnet theory of gravitation. We show how the higher-order curvature terms can influence both the thermodynamic properties and the phase transition. We evaluate both heat capacity and free energy difference to determine the local and global thermodynamic stabilities, respectively. We find that the phase transition occurs from the thermal anti--de Sitter to a small spherical black hole geometry and occurs to a hyperbolic black hole geometry in the (dilatonic) Einstein-Gauss-Bonnet theory of gravitation unlike those in Einstein's theory of gravitation.