Scale Invariant Hairy Black Holes

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

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

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• Energy Bounds in Designer Gravity
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• Trace Anomaly and Counterterms in Designer Gravity
• Thermodynamical properties of hairy black holes in n spacetimes dimensions
• Mass of asymptotically anti-de Sitter hairy spacetimes
• First law and anisotropic Cardy formula for three-dimensional Lifshitz black holes
• Hairy black hole entropy and the role of solitons in three dimensions
• Static black hole solutions with a self interacting conformally coupled scalar field
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• Towards the emergence of non-zero thermodynamical quantities for Lanczos-Lovelock black holes dressed with a scalar field
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• Phase transitions of black strings in dynamical Chern-Simons modified gravity
• Holography without counter terms
• Dynamical probe of thermodynamical properties in three-dimensional hairy AdS black holes
• Electrically charged black hole on AdS${}_3$: scale invariance and the Smarr formula
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
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