Gauss-Bonnet modification to Hawking evaporation of AdS black holes in massive gravity

Abstract

The Stefan-Boltzmann law can estimate particle emission power and lifetime of a black hole. However, in modified gravity theories, new parameters in the action can cause qualitative changes in thermodynamic quantities, thus obtaining specific thermodynamic properties often requires complicated calculation with higher degree equations. In this work, we aim to provide a general model-independent description of the evolution of AdS black holes, using Gauss-Bonnet massive gravity as an example. We prove that the impact factor of an infinitely large AdS black hole is equal to the effective AdS radius, and the black hole is able to evaporate an infinite amount of mass in finite time, so that the lifetime of the black hole depends on the final state temperature in the evaporation process. The black hole will evaporate out when the final state temperature diverges and will transform into a remnant when the temperature is zero. Since we have analyzed massive gravity in detail, we can introduce the Gauss-Bonnet term to study how it affects the thermodynamic quantities. We obtain the final states for different parameter intervals, study the qualitative properties of black hole evaporation, and classify the associated cases. This method can also be applied to other models.

arXiv comment16 pages;v2: numerical example added in Figure 5, accepted by EPJP

References in corpus (45)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Resummation of Massive Gravity
• Generalization of the Fierz-Pauli Action
• Gauss-Bonnet Black Holes in AdS Spaces
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Ghost-free Massive Gravity with a General Reference Metric
• On Non-Linear Actions for Massive Gravity
• Massive Cosmologies
• Thermodynamics of Black Holes in Massive Gravity
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Rotating black holes in $4D$ Einstein-Gauss-Bonnet gravity and its shadow
• The innermost stable circular orbit and shadow in the novel $4D$ Einstein-Gauss-Bonnet gravity
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• Spacetime structure of static solutions in Gauss-Bonnet gravity: neutral case
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Grey-body factors and Hawking radiation of black holes in $4D$ Einstein-Gauss-Bonnet gravity
• Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
• Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality
• A note on the total action of $4D$ Gauss-Bonnet theory
• Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
• Born-Infeld Black Holes in 4D Einstein-Gauss-Bonnet Gravity
• Vacua in novel 4D Einstein-Gauss-Bonnet Gravity: pathology and instability?
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Eikonal instability of Gauss-Bonnet-(anti-)de Sitter black holes
• Massive Gravity Acausality Redux
• Greybody factor and power spectra of the Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet de-Sitter gravity
• Quasinormal modes of Gauss-Bonnet-AdS black holes: towards holographic description of finite coupling
• Static detectors and circular-geodesic detectors on the Schwarzschild black hole
• Unruh-DeWitt detectors and entanglement: the anti-de Sitter space
• Long life of Gauss-Bonnet corrected black holes
• Problems of Massive Gravities
• Hawking evaporation of Einstein-Gauss-Bonnet AdS black holes in $D⩾4$ dimensions
• Black hole evaporation in Lovelock gravity with diverse dimensions
• Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity
• Finite Upper Bound for the Hawking Decay Time of an Arbitrarily Large Black Hole in Anti-de Sitter Spacetime
• Black hole evaporation in Conformal (Weyl) gravity
• Cosmic Censorship and the Evolution of d-Dimensional Charged Evaporating Black Holes
• Hawking Evaporation of Black Holes in Massive Gravity
• Black Hole Evaporation in Hořava-Lifshitz Gravity
• Maxwell's equal area law for Lovelock Thermodynamics
• Black hole solution and thermal properties in $4D$ AdS Gauss-Bonnet massive gravity
• Decoherence and thermalization of Unruh-DeWitt detector in arbitrary dimensions
• Holographic Consistency and the Sign of the Gauss-Bonnet Parameter