Phase Transitions in 4D Gauss-Bonnet-de Sitter Black Holes
arXiv:2107.11352 · doi:10.1103/PhysRevD.104.104056
Abstract
We investigate thermodynamic aspects of black holes in the recently formulated four dimensional Gauss-Bonnet theory of gravity, focusing on its asymptotically de Sitter () solutions. We take a Euclidean path integral approach, where thermodynamic data is fixed at a finite radius `cavity' outside the black hole to achieve equilibrium in the presence of the cosmological horizon. Working in the extended phase space where the cosmological constant is treated as a thermodynamic pressure, we study the phase structure of both uncharged and charged solutions, uncovering a wealth of phenomena. In the uncharged case, black holes are found to undergo either the standard Hawking-Page-like transition to empty de Sitter space or a small-large transition (akin to those seen in charged AdS black holes in pure Einstein gravity) depending on the pressure. We also find a triple point where the radiation, small, and large black hole phases coexist, and a zeroth-order phase transition within a narrow range of Gauss-Bonnet coupling parameter. Reentrant phase transitions between radiation and a small black hole also exist inside a certain parameter range. Similar phenomena are found in the charged case, with the charge parameter playing a role analogous to the Gauss-Bonnet coupling parameter in determining the phase structure.
arXiv comment23 pages, 6 figures. Updated references
References in corpus (46)
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- The Large N Limit of Superconformal Field Theories and Supergravity
- Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
- P-V criticality of charged AdS black holes
- Enthalpy and the Mechanics of AdS Black Holes
- Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
- Jerusalem Lectures on Black Holes and Quantum Information
- Reentrant Phase Transitions in Rotating AdS Black Holes
- Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
- Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
- Rotating black holes in Einstein-Gauss-Bonnet gravity and its shadow
- Horndeski Gravity as Limit of Gauss-Bonnet
- Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
- Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
- Superfluid Black Holes
- On Taking the limit of Gauss-Bonnet Gravity: Theory and Solutions
- Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
- Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
- Gravitational lensing by black holes in the Einstein-Gauss-Bonnet gravity
- TASI Lectures on the Cosmological Constant
- A note on the novel 4D Einstein-Gauss-Bonnet gravity
- Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
- The Limit of General Relativity
- Thermodynamics of horizons: de Sitter black holes and reentrant phase transitions
- Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
- Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole
- Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
- Observational Constraints on the Regularized 4D Einstein-Gauss-Bonnet Theory of Gravity
- Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
- Critical Phenomena of Charged de Sitter Black Holes in Cavities
- Vacua and Exact Solutions in Lower- Limits of EGB
- Thermodynamics of Gauss-Bonnet-de Sitter Black Holes
- Critical Phenomena of Born-Infeld-de Sitter Black Holes in Cavities
- Scalar charges and the first law of black hole thermodynamics
- Topological Terms and the Misner String Entropy
- Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
- Black hole chemistry and holography in generalized quasi-topological gravity
- Equivalence of solutions between the four-dimensional novel and regularized EGB theories in a cylindrically symmetric spacetime
- Redundant and Physical Black Hole Parameters: Is there an independent physical dilaton charge?
- Thermodynamics of Exotic Black Holes in Lovelock Gravity
- The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole
- Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime
- Null Geodesics and Thermodynamic Phase Transition of Four-Dimensional Gauss-Bonnet AdS Black Hole
- Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields
- Black Hole Entropy and the Problem of Universality
- Hawking--Page phase transitions in four-dimensional Einstein--Gauss--Bonnet gravity