Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime

Understand

We study Einstein-Maxwell-dilaton gravity models in four-dimensional anti-de Sitter (AdS) spacetime which admit the Reissner-Nordstrom (RN) black hole solution.

• We show that below a critical temperature the AdS-RN solution becomes unstable against scalar perturbations and the gravitational system undergoes a phase transition.
• We show using numerical calculations that the new phase is a charged dilatonic black hole.
• Using the AdS/CFT correspondence we discuss the phase transition in the dual field theory both for non-vanishing temperatures and in the extremal limit.