The Attractor Mechanism in Gauss-Bonnet Gravity

Details The Attractor Mechanism in Gauss-Bonnet Gravity The Attractor Mechanism in Gauss-Bonnet Gravity

2007-07-10

arxiv.org/abs/0707.1464v3

JHEP 0710:084,2007

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 3 figures; v2 - references added; v3 - minor revisions, references added

Scientific paper

10.1088/1126-6708/2007/10/084

We study extremal black hole solutions of D=5 Gauss-Bonnet gravity coupled to a system of gauge and scalar fields. As in Einstein gravity, we find that the values of the scalar fields on the horizon must extremize a certain effective potential that depends on the black hole charges. If the matrix of second derivatives of the effective potential at this extremum has positive eigenvalues, we give evidence, based on a near horizon perturbative expansion, that the attractor mechanism continues to hold in this general class of theories. We numerically construct solutions to a particular simple single scalar field model that display the attractor mechanism over a wide range of asymptotic values for the scalar field. We also numerically construct non-extremal solutions and show that the attractor mechanism fails to hold away from extremality.

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