Topology of black hole thermodynamics in Gauss-Bonnet gravity
arXiv:2202.10288 · doi:10.1103/PhysRevD.105.104053
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 -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.
arXiv comment20 pages, 11 figures; sections rearranged; appendices added; matches published version
References in corpus (35)
- Gauge Theory Correlators from Non-Critical String Theory
- GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
- P-V criticality of charged AdS black holes
- Charged AdS Black Holes and Catastrophic Holography
- Enthalpy and the Mechanics of AdS Black Holes
- Gauss-Bonnet Black Holes in AdS Spaces
- Black hole chemistry: thermodynamics with Lambda
- Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
- Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Pressure and volume in the first law of black hole thermodynamics
- Viscosity Bound Violation in Higher Derivative Gravity
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- Black Hole Entropy Function, Attractors and Precision Counting of Microstates
- Reentrant Phase Transitions in Rotating AdS Black Holes
- P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
- Light ring stability in ultra-compact objects
- Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
- Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
- Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
- Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
- Stationary black holes and light rings
- Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
- Superfluid Black Holes
- Topology of black hole thermodynamics
- Thermodynamic Geometry and Critical Behavior of Black Holes
- Critical phenomena in Born-Infeld AdS black holes
- Topological Charge and Black Hole Photon Spheres
- Holographic Black Hole Chemistry
- Analytical and exact critical phenomena of -dimensional singly spinning Kerr-AdS black holes
- 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
- Reentrant phase transition of Born-Infeld-dilaton black holes
- Critical Phenomena and Reentrant Phase Transition of Asymptotically Reissner-Nordstrom Black Holes
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