Phys. Rev. D 72, 064019 (2005) [8 pages]Scale invariant hairy black holesReceived 3 July 2005; published 28 September 2005 Scalar fields coupled to three-dimensional gravity are considered. We uncover a scaling symmetry present in the black hole reduced action, and use it to prove a Smarr formula valid for any potential. We also prove that nonrotating hairy black holes exists only for positive total energy. The extension to higher dimensions is also considered. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.064019
DOI:
10.1103/PhysRevD.72.064019
PACS:
04.70.Bw
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