We analyse the dynamics of near-extremal Reissner-Nordström black holes in asymptotically four-dimensional Anti de Sitter space (AdS4). We work in the spherically symmetric approximation and study the thermodynamics and the response to a probe scalar field. We find that the behaviour of the system, at low energies and to leading order in our approximations, is well described by the Jackiw-Teitelboim (JT) model of gravity. In fact, this behaviour can be understood from symmetry considerations and arises due to the breaking of time reparametrisation invariance. The JT model has been analysed in considerable detail recently and related to the behaviour of the SYK model. Our results indicate that features in these models which arise from symmetry considerations alone are more general and present quite universally in near-extremal black holes.
Digital Object Identifier (DOI)
Article funded by SCOAP3.
SPT also acknowledges support from the J. C. Bose fellowship of the DST, Government of India. We also acknowledge support from the Infosys Endowment for Research into the Quantum Structure of Spacetime.
Nayak, Pranjal; Shukla, Ashish; Soni, Ronak M.; Trivedi, Sandip P.; and Vishal, V., "On the Dynamics of Near-Extremal Black Holes" (2018). Physics and Astronomy Faculty Publications. 644.