Hawking evaporation of Einstein-Gauss-Bonnet AdS black holes in $D⩾4$ dimensions

Abstract

Einstein-Gauss-Bonnet theory is a string-generated gravity theory when approaching the low energy limit. By introducing the higher order curvature terms, this theory is supposed to help to solve the black hole singularity problem. In this work, we investigate the evaporation of the static spherically symmetric neutral AdS black holes in Einstein-Gauss-Bonnet gravity in various spacetime dimensions with both positive and negative couping constant $\alpha$. By summarizing the asymptotic behavior of the evaporation process, we find the lifetime of the black holes is dimensional dependent. For $\alpha >0$, in $D⩾6$ cases, the black holes will be completely evaporated in a finite time, which resembles the Schwarzschild-AdS case in Einstein gravity. While in $D=4,5$ cases, the black hole lifetime is always infinite, which means the black hole becomes a remnant in the late time. Remarkably, the cases of $\alpha >0,D=4,5$ will solve the terminal temperature divergent problem of the Schwarzschild-AdS case. For $\alpha <0$, in all dimensions, the black hole will always spend a finite time to a minimal mass corresponding to the smallest horizon radius $r_{min}=\sqrt{2|\alpha |}$ which coincide with an additional singularity. This implies that there may exist constraint conditions to the choice of coupling constant.

14 pages, 8 figures; v2: references added, minor corrections, submitted to journal;v3: minor corrections, published in EPJC;v4: one typo in Eq(9) fixed

References in corpus (22)

• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• 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?
• The Lovelock Black Holes
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
• 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''
• 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?
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Greybody factor and power spectra of the Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet de-Sitter gravity
• Evaporation of large black holes in AdS: coupling to the evaporon
• The Large D Limit of Einstein's Equations
• Counterterms, Kounterterms, and the variational problem in AdS gravity
• Black hole evaporation in Lovelock gravity with diverse dimensions
• Hawking Evaporation of Black Holes in Massive Gravity
• Black Hole Evaporation in Hořava-Lifshitz Gravity

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• Gravitational Analysis of Rotating Charged Black Hole-Like Solution in Einstein-Gauss-Bonnet Gravity
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• Holographic Consistency and the Sign of the Gauss-Bonnet Parameter
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• Radiation from Einstein-Gauss-Bonnet de Sitter Black Hole via Tunneling Process
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• Seeded vacuum decay with Gauss-Bonnet
• Thermodynamics of the arbitrary dimensional FRW universe: Joule-Thomson expansion
• $P-V$ criticality and Joule-Thomson Expansion of Hayward-AdS black holes in 4D Einstein-Gauss-Bonnet gravity
• Entropic uncertainty and coherence in Einstein-Gauss-Bonnet gravity
• Gauss-Bonnet modification to Hawking evaporation of AdS black holes in massive gravity
• Kiselev black hole and the ultra-slow evaporating behavior