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Causality of black holes in 4-dimensional Einstein-Gauss-Bonnet-Maxwell theory
We study charged black hole solutions in 4-dimensional (4D)
Einstein-Gauss-Bonnet-Maxwell theory to the linearized perturbation level. We
first compute the shear viscosity to entropy density ratio. We then demonstrate
how bulk causal structure analysis imposes a upper bound on the Gauss-Bonnet
coupling constant in the AdS space. Causality constrains the value of
Gauss-Bonnet coupling constant to be bounded by as .Comment: 13 pages, minor revision, references adde
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