Topology of black hole thermodynamics in Gauss-Bonnet gravity

Abstract

Thermodynamics of black holes in anti de Sitter (AdS) spacetimes typically contains critical points in the phase diagram, some of which correspond to the first order transition ending in a second order one. Following the recent proposal in [arXiv:2112.01706] on using Duan's $\varphi$-mapping theory, we classify the critical points of six dimensional charged Gauss-Bonnet black holes in AdS spacetime. We find that the higher derivative corrections from Gauss-Bonnet gravity do not change the topological class of critical points in charged black holes in AdS, unlike the case of Born-Infeld corrections noted earlier. The connection between the topological nature of critical points and existence of first order phase transitions breaks down in a certain parameter regime. A resolution is proposed by treating the novel and conventional critical points as phase creation and phase annihilation points, respectively. Examples are provided to support the proposal.

20 pages, 11 figures; sections rearranged; appendices added; matches published version

References in corpus (11)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Light ring stability in ultra-compact objects
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Superfluid Black Holes
• Topology of black hole thermodynamics
• Topological Charge and Black Hole Photon Spheres
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• Phase transitions and critical behavior of black branes in canonical ensemble
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
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Cited by in corpus (10)

• Topological classes of thermodynamics of rotating AdS black holes
• Topology of black hole thermodynamics in Lovelock gravity
• Topological classes of rotating black holes
• Revisiting thermodynamic topologies of black holes
• Topology of Born-Infeld AdS black holes in 4D novel Einstein-Gauss-Bonnet gravity
• Topological interpretation for phase transitions of black holes
• The topological natures of the Gauss-Bonnet black hole in AdS space
• Topology of equatorial timelike circular orbits around stationary black holes
• Vortex/anti-vortex pair creation in black hole thermodynamics
• Multi-kink brane in Gauss-Bonnet gravity and its stability