Causality of black holes in 4-dimensional Einstein-Gauss-Bonnet-Maxwell theory

Abstract

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 ${\alpha }_{GB}$ to be bounded by ${\alpha }_{GB}\le 0$ as $D\to 4$.

13 pages, minor revision, references added

References in corpus (5)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Shear Viscosity from Effective Couplings of Gravitons

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