Hairy BTZ black hole and its analogue model in graphene

Abstract

We obtain a novel exact analytical solution to Einstein-Maxwell-scalar gravity with negative cosmological constant in (2+1)-dimensions. The scalar field is minimally coupled to gravity and electromagnetism by the metric ansatz. On the one hand, we first find analytical results for the real part of quasinormal mode spectrum of a rotating hairy Bañados-Teitelboim-Zanelli (BTZ) black hole by solving the associated Dirac equation through the pseudo-Hermitian quantum mechanical tools within the framework of discrete-basis-set method. We then show that, in the spinless case, these quasinormal modes (QNMs) have equally spaced with respect to the related azimuthal quantum number, while the spinning BTZ black hole with scalar hair has Dirac-like unequally spaced discrete one. Moreover, the analytical results for these QNMs found here are in excellent agreement with those found in the literature for hairless BTZ black holes. On the other hand, we also develop an analogue model for this hairy Banados-Teitelboim-Zanelli black hole in graphene, by mapping it onto the hyperbolic pseudosphere surface with negative curvature. The model not only offers to make some predictions for the gravity-like phenomena in a curved graphene sheet but also paves the way for reproducing black hole thermodynamics scenarios in two-dimensional topological insulators.

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Cited by in corpus (10)

• Negative-curvature spacetime solutions for graphene
• Graphene, Dirac equation and analogue gravity
• On the propagation of Dirac fermions in graphene with the strain-induced inhomogeneous Fermi velocity
• Ray geodesics and wave propagation on the Beltrami surface: Optics of an optical wormhole
• Boosting thermodynamic performance by bending space-time
• Dirac equation in curved spacetime: the role of local Fermi velocity
• Vacuum currents in curved tubes
• Quantum thermal machines in BTZ black hole spacetime
• No-go theorem for environment-assisted invariance in non-unitary dynamics
• Vacuum currents in elliptic pseudosphere tubes