Scaling symmetry and scalar hairy rotating AdS_3 black holes

Abstract

By using the scaling symmetry in the reduced action formalism, we derive the novel Smarr relation which holds even for the hairy rotating AdS_3 black holes. And then, by using the Smarr relation we argue that the hairy rotating AdS_3 black holes are stable thermodynamically, compared to the non-hairy ones.

1+18 pages, plain LaTeX; v2 typos fixed, references added; v3 accepted for publication in PRD

References in corpus (8)

• Towards a Novel no-hair Theorem for Black Holes
• Scalar solitons and the microscopic entropy of hairy black holes in three dimensions
• Quasi-local conserved charges and holography
• Quasi-local charges and asymptotic symmetry generators
• A rotating hairy AdS3 black hole with the metric having only one Killing vector field
• Scaling symmetry and scalar hairy Lifshitz black holes
• Thermodynamics of AdS Black Holes in Einstein-Scalar Gravity
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• Scaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity
• Building Magnetic Hysteresis in Holography
• Impurity Effect on Hysteric Magnetoconductance: Holographic Approach