Scale Invariant Hairy Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Reference corrected. Added section on charged case. Latex, 23 pages

Scientific paper

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 non-rotating
hairy black holes exists only for positive total energy. The extension to
higher dimensions is also considered.

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