Instability of Black Holes with a Gauss-Bonnet Term

Abstract

We investigate the fragmentation instability of hairy black holes in the theory with a Gauss$-$Bonnet(GB) term in asymptotically flat spacetime. Our approach is through the non-perturbative fragmentation instability. By this approach, we investigate whether the initial black hole can be broken into two black holes by comparing the entropy of the initial black hole with the sum of those of two fragmented black holes. The relation between the black hole instability and the GB coupling with dilaton hair are presented. We describe the phase diagrams with respect to the mass of the black hole solutions and coupling constants. We find that a perturbatively stable black hole can be unstable under fragmentation.

20 pages, 10 figures, published version in EPJC

References in corpus (10)

• Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
• Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theory
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions I -- Asymptotically Flat Black Holes --
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Quadrupole Moments of Rapidly Rotating Compact Objects in Dilatonic Einstein-Gauss-Bonnet Theory
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions III -- Asymptotically AdS Black Holes with $k=\pm 1$ --
• Instability of Rotating Anti-de Sitter Black Holes
• Dynamical Condensation in a Holographic Superconductor Model with Anisotropy
• Global Structure of Black Holes in String Theory with Gauss-Bonnet Correction in Various Dimensions
• Tensorial perturbations and stability of spherically symmetric d-dimensional black holes in string theory

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• Nonperturbative gedanken experiments in Einstein-dilaton-Gauss-Bonnet gravity: nonlinear transitions and tests of the cosmic censorship beyond General Relativity
• Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation
• History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
• WIMPs in Dilatonic Einstein Gauss-Bonnet Cosmology
• Instability of Charged Anti-de Sitter Black Holes
• The fragmentation instability of a black hole with $f(R)$ global monopole under GUP
• The Upper Bound of Radiation Energy in the Myers-Perry Black Hole Collision
• The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry
• Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity
• Dilaton Field Released under Collision of Dilatonic Black Holes with Gauss-Bonnet Term
• Spin Interaction under the Collision of Two Kerr-(anti-)de Sitter Black Holes
• Gauss-Bonnet Cosmology: large-temperature behaviour and bounds from Gravitational Waves
• Hairy black holes in dilatonic Einstein-Gauss-Bonnet theory
• The instability of a black hole with $f(R)$ global monopole under extended uncertainty principle