2008

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

Konoplya, R. A., Zhidenko, A.

Understand

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 multi-poles $\ell$ and large Gauss-Bonnet coupling $\alpha$ for $D= 5, 6$, which is stabilized at higher $D$.
Although small negative gap of the effective potential for scalar type of gravitational perturbations, exists for higher $D$ and whatever $\alpha$, it does not lead to any instability.

D. G. Boulware and S. Deser, Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
C. Gundlach, R. H. Price and J. Pullin, Phys. Rev. D 49
1994
Earlier work this paper cites.
S. G. Ghosh and D. W. Deshkar, arXiv:0801.2710 [gr-qc]. S. H. Mazharimousavi and M. Halilsoy, arXiv:0801.2110 [gr-qc]. C. M. Chen, arXiv:0801.0032 [hep-th]. H. C. Kim and R. G. Cai, arXiv:0711.0885 [hep-th]. J. Liu, Commun. Theor. Phys. 47
Original
1997
Earlier work this paper cites.
S. Kawai, M. a. Sakagami and J. Soda, Phys. Lett. B 437
Original
1998
Earlier work this paper cites.
S. S. Gubser and I. Mitra, JHEP 0108
2001
Earlier work this paper cites.
H. Kodama and A. Ishibashi, Prog. Theor. Phys. 111
2003
Earlier work this paper cites.

S. Creek, O. Efthimiou, P. Kanti and K. Tamvakis, Phys. Lett. B 656
Original
2004
Cited alongside, same era.
R. Konoplya, Phys. Rev. D 71
2005
Cited alongside, same era.
E. Abdalla, R. A. Konoplya and C. Molina, Phys. Rev. D 72
2005
Cited alongside, same era.
J. Grain, A. Barrau and P. Kanti, Phys. Rev. D 72
2005
Cited alongside, same era.
G. Dotti and R. J. Gleiser, Phys. Rev. D 72
2005
Cited alongside, same era.
R. J. Gleiser and G. Dotti, Phys. Rev. D 72
2005
Cited alongside, same era.

R. A. Konoplya, Phys. Rev. D 68
Original
2006
Later among the works it cites.
E. Abdalla, B. Cuadros-Melgar, A. B. Pavan and C. Molina, Nucl. Phys. B 752
2006
Later among the works it cites.
R. A. Konoplya and A. Zhidenko, Nucl. Phys. B 777
2007
Later among the works it cites.
T. Kobayashi and T. Tanaka, Phys. Rev. D 71
2007
Later among the works it cites.
R. G. Daghigh, G. Kunstatter and J. Ziprick, Class. Quant. Grav. 24
2007
Later among the works it cites.

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