Dynamical perturbations and critical phenomena in Gauss-Bonnet-AdS black holes

Details Dynamical perturbations and critical phenomena in Gauss-Bonnet-AdS black holes Dynamical perturbations and critical phenomena in Gauss-Bonnet-AdS black holes

2010-07-15

arxiv.org/abs/1007.2536v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 5 figures, to appear in Phys. Lett. B

Scientific paper

We investigate the perturbations of charged scalar field in $5$-dimensional Gauss-Bonnet AdS black hole backgrounds. From the perturbation behaviors we obtain the objective picture on how the high curvature influence the spacetime perturbation and the condensation of the scalar hair. The high curvature effects can also be read from the linear response function such as the susceptibility and the correlation length, when the system approaches the critical point. We find that the Gauss-Bonnet term does not affect the critical exponents of the system and they still take the mean-field values.

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