Abstract
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.
- Received 3 July 2005
DOI:https://doi.org/10.1103/PhysRevD.72.064019
©2005 American Physical Society
