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2017

The portrait of eikonal instability in Lovelock theories

Konoplya, R. A., Zhidenko, A.

Understand

Perturbations and eikonal instabilities of black holes and branes in the Einstein-Gauss-Bonnet theory and its Lovelock generalization were considered in the literature for several particular cases, where the asymptotic conditions (flat, dS, AdS), the number of spacetime dimensions $D$, non-vanishing coupling constants ($\alpha_1$, $\alpha_2$, $\alpha_3$ etc.) and other parameters have been chosen in a specific way.

Here we give a comprehensive analysis of the eikonal instabilities of black holes and branes for the \emph{most general} Lovelock theory, not limited by any of the above cases.
Although the part of the stability analysis is performed here purely analytically and formulated in terms of the inequalities for the black hole parameters, the most general case is treated numerically and the accurate regions of instabilities are presented.
The shared Mathematica(R) code allows the reader to construct the regions of eikonal instability for any desired values of the parameters.

Built on

F. R. Tangherlini, Nuovo Cim. 27
1963
Earlier work this paper cites.
D. Lovelock, J. Math. Phys. 12
1971
Earlier work this paper cites.
D. G. Boulware and S. Deser, Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
J. T. Wheeler, Nucl. Phys. B 273
1986
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, Phys. Rev. D 49
1994
Earlier work this paper cites.
A. Ishibashi and H. Kodama, Prog. Theor. Phys. 110
2003
Earlier work this paper cites.
R. A. Konoplya, Phys. Rev. D 68
2003
Earlier work this paper cites.
R. Konoplya, Phys. Rev. D 71
2005
Earlier work this paper cites.
E. Abdalla, R. A. Konoplya and C. Molina, Phys. Rev. D 72
2005
Earlier work this paper cites.
G. Dotti, R. J. Gleiser, Phys. Rev. D 72
2005
Earlier work this paper cites.
R. J. Gleiser, G. Dotti, Phys. Rev. D 72
2005
Earlier work this paper cites.
R. A. Konoplya and A. Zhidenko, Nucl. Phys. B 777
2007
Earlier work this paper cites.