Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space

Abstract

We present exact analytical black hole solutions with conformal anomaly in AdS space and discuss the thermodynamical properties of these black hole solutions. These black holes can have a positive, zero and negative constant curvature horizon, respectively. For the black hole with a positive constant curvature horizon, there exists a minimal horizon determined by the coefficient of the trace anomaly, the black hole with a smaller horizon is thermodynamically unstable, while it is stable for the case with a larger horizon. The Hawking-Page transition happens in this case. For the black hole with a Ricci flat horizon, the black hole is always thermodynamically stable and there is no Hawking-Page transition. In the case of the black hole with a negative constant curvature horizon, there exists a critical value for the coefficient of the trace anomaly, under this critical value, the black hole is always thermodynamical stable and the Hawking-Page transition does not happen. When the coefficient is beyond the critical value, the black hole with a smaller horizon is thermodynamically unstable, but it becomes stable for the case with a larger horizon, the Hawking-Page transition always happens in this case. The latter is a new feature for the black holes with a negative constant curvature horizon.

arXiv commentLetax, 17 pages with 6 figures

References in corpus (34)

• Gauge Theory Correlators from Non-Critical String Theory
• Gauss-Bonnet Black Holes in AdS Spaces
• Twenty Years of the Weyl Anomaly
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Cylindrical Black Hole in General Relativity
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Topological Black Holes in Anti-de Sitter Space
• Black holes with unusual topology
• Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
• Pair Production of Topological anti de Sitter Black Holes
• Rotating Charged Black Strings in General Relativity
• Black plane solutions in four dimensional spacetimes
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Black Holes as Elementary Particles
• Dimensionally Continued Black Holes
• Topological black holes in the dimensionally continued gravity
• Making Anti-de Sitter Black Holes
• Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
• Topological dilaton black holes
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• Black holes with topologically nontrivial AdS asymptotics
• Rotating Topological Black Holes
• Einstein gravity with Gauss-Bonnet entropic corrections
• Macroscopic Effects of the Quantum Trace Anomaly
• Black hole solutions in F(R) gravity with conformal anomaly
• Phase transition of quantum corrected Schwarzschild black hole
• Topological Black Holes in Weyl Conformal Gravity
• Stress Tensor from the Trace Anomaly in Reissner-Nordstrom Spacetimes
• Hairs on the cosmological horizon
• On Wald entropy of black holes: logarithmic corrections and trace anomaly
• Two critical phenomena in the exactly soluble quantized Schwarzschild black hole
• Logarithmic entropy of black hole in gravity with conformal anomaly from quantum tunneling approach
• Complementary role of the pressure in the black hole thermodynamics
• The description of phase transition in a black hole with conformal anomaly in the Ehrenfest's scheme

Cited by in corpus (51)

• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• Rotating black holes in $4D$ Einstein-Gauss-Bonnet gravity and its shadow
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• 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
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Gravitational lensing by black holes in the $4D$ Einstein-Gauss-Bonnet gravity
• Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
• Gravitational lensing by charged black hole in regularized $4D$ Einstein-Gauss-Bonnet gravity
• Charged Black Hole Solutions in Gauss-Bonnet-Massive Gravity
• Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole
• Weak cosmic censorship conjecture for the novel $4D$ charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
• Spinning test particle in four-dimensional Einstein-Gauss-Bonnet Black Hole
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Thin Accretion Disk around a four-dimensional Einstein-Gauss-Bonnet Black Hole
• Phase transition of AdS black holes in 4D EGB gravity coupled to nonlinear electrodynamics
• Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordström black holes
• Regularized Lovelock gravity
• Quasinormal modes and Strong Cosmic Censorship in the regularised 4D Einstein-Gauss-Bonnet gravity
• Relativistic stars in 4D Einstein-Gauss-Bonnet gravity
• Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity
• Bending of light in novel 4$D$ Gauss-Bonnet-de Sitter black holes by Rindler-Ishak method
• Hawking evaporation of Einstein-Gauss-Bonnet AdS black holes in $D⩾4$ dimensions
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• Rotating 4D Gauss-Bonnet black hole as particle accelerator
• Einstein-Gauss-Bonnet gravity with nonlinear electrodynamics
• Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity
• Topology of black hole thermodynamics via Rényi statistics
• Null Geodesics and Thermodynamic Phase Transition of Four-Dimensional Gauss-Bonnet AdS Black Hole
• Rotating black holes in semiclassical gravity
• Thermodynamics, Phase Transition and Joule Thomson Expansion of 4-D Gauss-Bonnet AdS Black Hole
• Asymptotic structure of Einstein-Gauss-Bonnet theory in lower dimensions
• Naked singularity in 4D Einstein-Gauss-Bonnet novel gravity: Echoes and (in)-stability
• Einstein-Gauss-Bonnet gravity with rational nonlinear electrodynamics
• Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
• New model of 4D Einstein--Gauss--Bonnet gravity coupled with nonlinear electrodynamics
• Deciphering black hole phase transitions through photon spheres
• Eikonal quasinormal modes, photon sphere and shadow of a charged black hole in the 4D Einstein-Gauss-Bonnet gravity
• Kerr-Vaidya type radiating black holes in semi-classical gravity with conformal anomaly
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• Generalized gravitational phase transition in novel 4D Einstein-Gauss-Bonnet gravity
• Perturbations in Regularized Lovelock Gravity
• Buchdahl limit of compact stars in presence of Weyl anomaly
• $P-V$ criticality and Joule-Thomson Expansion of Hayward-AdS black holes in 4D Einstein-Gauss-Bonnet gravity
• Internal structure and its connection with thermodynamics and dynamics in black holes
• Local solutions of General Relativity in the presence of the Trace Anomaly
• P-V criticality of conformal anomaly corrected AdS black holes
• Trace anomaly contributions to semi-classical wormhole geometries
• Black Holes in 4D Einstein-Gauss-Bonnet gravity with exponential electrodynamics
• Heat Capacity and the Violation of Scaling Laws in Gravitational System
• Imprints of Topological Thermodynamics on Black Hole Dynamics