Polarised black holes in AdS

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Costa, MS (Author) FCUP; Greenspan, L (Author) Other; Oliveira, M (Author) Other; Joao Penedones (Author) FCUP; Santos, JE (Author) Other

Journal

Title: Classical and Quantum Gravity

Vol. 33

Final page: 115011

ISSN: 0264-9381

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 17 Citations

Scopus - 17 Citations

Other information

Authenticus ID: P-00K-HDP

DOI: 10.1088/0264-9381/33/11/115011

Abstract (EN): We consider solutions in Einstein-Maxwell theory with a negative cosmological constant that asymptote to global AdS4 with conformal boundary S-2 x R-t. At the sphere at infinity we turn on a space-dependent electrostatic potential, which does not destroy the asymptotic AdS behaviour. For simplicity we focus on the case of a dipolar electrostatic potential. We find two new geometries: (i) an AdS soliton that includes the full backreaction of the electric field on the AdS geometry; (ii) a polarised neutral black hole that is deformed by the electric field, accumulating opposite charges in each hemisphere. For both geometries we study boundary data such as the charge density and the stress tensor. For the black hole we also study the horizon charge density and area, and further verify a Smarr formula. Then we consider this system at finite temperature and compute the Gibbs free energy for both AdS soliton and black hole phases. The corresponding phase diagram generalizes the Hawking-Page phase transition. The AdS soliton dominates the low temperature phase and the black hole the high temperature phase, with a critical temperature that decreases as the external electric field increases. Finally, we consider the simple case of a free charged scalar field on S-2 x R-t with conformal coupling. For a field in the SU(N) adjoint representation we compare the phase diagram with the above gravitational system.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 25