Growing hair on the extremal BTZ black hole

@article{Harms2017GrowingHO,
  title={Growing hair on the extremal BTZ black hole},
  author={Benjamin Harms and Allen Stern},
  journal={Physics Letters B},
  year={2017},
  volume={769},
  pages={465-469}
}
Abstract We show that the nonlinear σ-model in an asymptotically A d S 3 space-time admits a novel local symmetry. The field action is assumed to be quartic in the nonlinear σ-model fields and minimally coupled to gravity. The local symmetry transformation simultaneously twists the nonlinear σ-model fields and changes the space-time metric, and it can be used to map the extremal BTZ black hole to infinitely many hairy black hole solutions. 

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