Hairy BTZ black hole and its analogue model in graphene

We obtain analytical solutions to Einstein-Maxwell-scalar gravity with negative cosmological constant in (2+1)-dimensions. The scalar field is non minimally coupled to gravity and electromagnetism by the metric ansatz. We first find analytical solutions to the quasinormal mode (QNM) spectrum of a rotating hairy Banados-Teitelboim-Zanelli (BTZ) black hole by solving the associated Dirac equation within the framework of the pseudo-Hermitian quantum mechanics. We also develop an analogue model for this hairy BTZ black hole in graphene, by mapping its conformal counterpart onto the Beltrami pseudosphere. The model offers to make some predictions for the analogue model of the (2+1)-dimensional gravitational black hole in graphene. (C) 2019 Elsevier Inc. All rights reserved.