Bootstrapping gravity solutions

Abstract

We construct an algorithm to determine all stationary axi-symmetric solutions of 3-dimensional Einstein gravity with a minimally coupled self-interacting scalar field. We holographically renormalize the theory and evaluate then the on-shell action as well as the stress tensor and scalar one-point functions. We study thermodynamics, derive two universal formulas for the entropy and prove that global AdS provides a lower bound for the mass of certain solitons. Several examples are given in detail, including the first instance of locally asymptotically flat hairy black holes and novel asymptotically AdS solutions with non-Brown-Henneaux behavior.

52 pp, 4 figures, v2: corrected and rearranged discussion in beginning of section 2.1, added paragraph on light-like/time-like case at end of section 2.2

References in corpus (14)

• Building an AdS/CFT superconductor
• Holography of 3d Flat Cosmological Horizons
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Flat-Space Chiral Gravity
• Exact Black Holes and Universality in the Backreaction of non-linear Sigma Models with a potential in (A)dS4
• Holographic renormalization as a canonical transformation
• Spacetime Singularities
• Scalar solitons and the microscopic entropy of hairy black holes in three dimensions
• Rotating hairy black hole and its microscopic entropy in three spacetime dimensions
• Exact hairy black brane solutions in $Ad{S}_5$ and holographic RG flows
• All stationary axi-symmetric local solutions of topologically massive gravity
• Anti-de Sitter massless scalar field spacetimes in arbitrary dimensions
• Black holes in the conical ensemble
• Remarks on Resonant Scalars in the AdS/CFT Correspondence

Cited by in corpus (23)

• Logarithmic corrections of charged hairy black hole in (2+1) dimension
• Exact asymptotically flat charged hairy black holes with a dilaton potential
• Charged black hole with a scalar hair in (2+1) dimensions
• Trace Anomaly and Counterterms in Designer Gravity
• Novel rotating hairy black hole in (2+1)-dimensions
• Three-dimensional black holes with conformally coupled scalar and gauge fields
• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field
• Black holes in New Massive Gravity dressed by a (non)minimally coupled scalar field
• $(2+1)$-dimensional charged black holes with scalar hair in Einstein-Power-Maxwell Theory
• Exploring Accelerating Hairy Black Holes in $2+1$ Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
• Exact black hole formation in three dimensions
• Conserved quantities and Virasoro algebra in New massive gravity
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Hairy black holes: stability under odd-parity perturbations and existence of slowly rotating solutions
• Black Holes with Scalar Hair in Three Dimensions
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• Hairy Black Hole Stability in AdS, Quantum Mechanics on the Half-Line and Holography
• On conserved charges and thermodynamics of the AdS${}_4$ dyonic black hole
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Three dimensional rotating hairy black holes, asymptotics and thermodynamics
• The temperature and entropy corrections on the charged hairy black holes
• New boundary conditions in Einstein-scalar gravity in three dimensions
• Disorder in AdS${}_3$/CFT${}_2$