(In)stability of D-dimensional black holes in Gauss-Bonnet theory

@article{Konoplya2008InstabilityOD,
  title={(In)stability of D-dimensional black holes in Gauss-Bonnet theory},
  author={R. A. Konoplya and Alexander Zhidenko},
  journal={Physical Review D},
  year={2008},
  volume={77},
  pages={104004}
}
We make an extensive study of evolution of gravitational perturbations of D-dimensional black holes in Gauss-Bonnet theory. There is an instability at higher multipoles l and large Gauss-Bonnet coupling {alpha} for D=5, 6, which is stabilized at higher D. Although a small negative gap of the effective potential for the scalar type of gravitational perturbations exists for higher D and whatever {alpha}, it does not lead to any instability. 
View PDF on arXiv
92 Citations
Highly Influential Citations
3
Background Citations
15
Methods Citations
4
Results Citations
3

Figures and Tables from this paper

92 Citations

Instability of Charged Gauss-Bonnet Black Hole in de Sitter Spacetime at Large $D$

We study the stabilities of (A)dS charged Gauss-Bonnet(GB) black holes in the large $D$ dimensions. After integrating the equation of motion with respect to the radial direction, we obtain the…

(In)stability of black holes in the 4D Einstein–Gauss–Bonnet and Einstein–Lovelock gravities

Static Gauss-Bonnet black holes at large D

A bstractWe study the static black holes in the large D dimensions in the Gauss-Bonnet gravity with a cosmological constant, coupled to the Maxewell theory. After integrating the equation of motion…

Quasinormal modes, stability and shadows of a black hole in the 4D Einstein–Gauss–Bonnet gravity

Recently a D-dimensional regularization approach leading to the non-trivial (3+1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}…

Quasinormal modes and stability of a five-dimensional dilatonic black hole

We exactly calculate the quasinormal frequencies of the electromagnetic and Klein–Gordon perturbations propagating in a five-dimensional dilatonic black hole. Furthermore, we exactly find the…

Simply rotating higher dimensional black holes in Einstein-Gauss-Bonnet theory

Using perturbative expansion in terms of powers of the rotation parameter $a$ we construct the axisymmetric and asymptotically flat black-hole metric in the $D$-dimensional Einstein-Gauss-Bonnet…

Fatal Effects of Charges on Stability of Black Holes in Lovelock Theory

We study the stability of static spherically symmetric charged black holes under tensor type perturbations in Lovelock theory which is a natural higher dimensional generalization of Einstein theory.…

Quasinormal modes of the scalar field in five-dimensional Lovelock black hole spacetime

In this paper, using the third-order WKB approximation, we investigate the quasinormal frequencies of the scalar field in the background of a five-dimensional Lovelock black hole. We find that the…

Gravitational stability of simply rotating Myers-Perry black holes: Tensorial perturbations

We study the stability of D{>=}7 asymptotically flat black holes rotating in a single two-plane against tensor-type gravitational perturbations. The extensive search of quasinormal modes for these…

Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes

We investigate stability of the D-dimensional Reissner-Nordstroem-anti-de Sitter metrics as solutions of the Einstein-Maxwell equations. We have shown that asymptotically anti-de Sitter (AdS) black…
...