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Exact black hole solution with a minimally coupled scalar field

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arxiv hep-th/0406111 v1 pith:AO7WTU22 submitted 2004-06-13 hep-th gr-qc

classification hep-thgr-qc
keywords fieldscalarblackholesolutioncoupledcurvatureevent
verification ladder T0 review T1 audit T2 compute T3 formal

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An exact four-dimensional black hole solution of gravity with a minimally coupled self-interacting scalar field is reported. The event horizon is a surface of negative constant curvature enclosing the curvature singularity at the origin, and the scalar field is regular everywhere outside the origin. This solution is an asymptotically locally AdS spacetime. The strong energy condition is satisfied on and outside the event horizon. The thermodynamical analysis shows the existence of a critical temperature, below which a black hole in vacuum undergoes a spontaneous dressing up with a nontrivial scalar field in a process reminiscent of ferromagnetism.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 255 citations worldwide. Full citation record

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