Hairy AdS black holes with a toroidal horizon in 4D Einstein-nonlinear σ-model system

An exact hairy asymptotically locally AdS black hole solution with a flat horizon in the Einstein-nonlinear sigma model system in (3+1) dimensions is constructed. The ansatz for the nonlinear SU(2) field is regular everywhere and depends explicitly on Killing coordinates, but in such a way that its...

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Bibliographic Details
Published in:Physics letters. B 2018-01, Vol.776 (C), p.236-241
Main Authors: Astorino, Marco, Canfora, Fabrizio, Giacomini, Alex, Ortaggio, Marcello
Format: Article
Language:English
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Summary:An exact hairy asymptotically locally AdS black hole solution with a flat horizon in the Einstein-nonlinear sigma model system in (3+1) dimensions is constructed. The ansatz for the nonlinear SU(2) field is regular everywhere and depends explicitly on Killing coordinates, but in such a way that its energy–momentum tensor is compatible with a metric with Killing fields. The solution is characterized by a discrete parameter which has neither topological nor Noether charge associated with it and therefore represents a hair. A U(1) gauge field interacting with Einstein gravity can also be included. The thermodynamics is analyzed. Interestingly, the hairy black hole is always thermodynamically favoured with respect to the corresponding black hole with vanishing Pionic field.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2017.11.051