How the chaos diagnostics of a charged hairy black hole - the quantum Lyapunov exponent, butterfly velocity, and scrambling time delay - respond to a relevant scalar deformation of the dual boundary theory that drives the interior geometry toward a general Kasner spacetime. Injecting charged shock waves into the eternal black hole and tracking holographic mutual information shows the deformation lowers the Lyapunov-to-temperature ratio below the axion-Reissner-Nordstrom value only in part of parameter space, that the Einstein-Maxwell-Scalar coupling suppresses the charge-induced scrambling delay, and that the relation between the Lyapunov exponent and the Kasner exponent is non-invertible, so boundary chaos data alone cannot reconstruct the interior.
Studies how quantum chaos in a charged hairy black hole responds to deformations of its dual boundary theory. The model is four-dimensional Einstein gravity in anti-de Sitter space with a Maxwell fie…