Asymptotically Anti-de Sitter spacetimes and scalar fields with a logarithmic branch

Abstract

We consider a self-interacting scalar field whose mass saturates the Breitenlohner-Freedman bound, minimally coupled to Einstein gravity with a negative cosmological constant in D \geq 3 dimensions. It is shown that the asymptotic behavior of the metric has a slower fall-off than that of pure gravity with a localized distribution of matter, due to the back-reaction of the scalar field, which has a logarithmic branch decreasing as r^{-(D-1)/2} ln r for large radius r. We find the asymptotic conditions on the fields which are invariant under the same symmetry group as pure gravity with negative cosmological constant (conformal group in D-1 dimensions). The generators of the asymptotic symmetries are finite even when the logarithmic branch is considered but acquire, however, a contribution from the scalar field.

7 pages, CECS style, references added

References in corpus (14)

• The Black Hole in Three Dimensional Space Time
• Holographic Renormalization
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• How to go with an RG Flow
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Black holes and asymptotics of 2+1 gravity coupled to a scalar field
• Boundary charges in gauge theories: using Stokes theorem in the bulk
• A finite action for three dimensional gravity with a minimally coupled scalar field
• Generic Cosmic Censorship Violation in anti de Sitter Space
• Negative Energy in String Theory and Cosmic Censorship Violation
• Negative Energy Density in Calabi-Yau Compactifications
• Comments on Cosmic Censorship in AdS/CFT
• Numerical simulation of a possible counterexample to cosmic censorship
• The cosmic censor conjecture: Is it generically violated?

Cited by in corpus (111)

• Symmetries of Holographic Minimal Models
• Instability in cosmological topologically massive gravity at the chiral point
• Exact black hole solution with a minimally coupled scalar field
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Chiral Gravity, Log Gravity and Extremal CFT
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• Lovelock black holes with a nonlinear Maxwell field
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Designer Gravity and Field Theory Effective Potentials
• Topological black holes dressed with a conformally coupled scalar field and electric charge
• Thermodynamics of charged black holes with a nonlinear electrodynamics source
• Holographic anatomy of fuzzballs
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Bending AdS Waves with New Massive Gravity
• Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant
• Soft hairy horizons in three spacetime dimensions
• Asymptotically (anti) de Sitter Black Holes and Wormholes with a Self Interacting Scalar Field in Four Dimensions
• Towards a Novel no-hair Theorem for Black Holes
• Consistent Boundary Conditions for New Massive Gravity in $Ad{S}_3$
• On the Quantum Resolution of Cosmological Singularities using AdS/CFT
• Four-Dimensional Asymptotically AdS Black Holes with Scalar Hair
• Asymptotic symmetries of electromagnetism at spatial infinity
• Higher spin gravity in 3D: black holes, global charges and thermodynamics
• Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities
• Consistent boundary conditions for cosmological topologically massive gravity at the chiral point
• On the Generalized Massive Gravity in $Ad{S}_3$
• New Charged Black Holes with Conformal Scalar Hair
• Electrically charged black hole with scalar hair
• Energy Bounds in Designer Gravity
• Stability and Thermodynamics of AdS Black Holes with Scalar Hair
• Mass of Rotating Black Holes in Gauged Supergravities
• CFT Duals for Attractor Horizons
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Large and Ultra-compact Gauss-Bonnet Black Holes with a Self-interacting Scalar Field
• The CFT-interpolating Black Hole in Three Dimensions
• On the Existence of Solutions with a Horizon in Pure Scalar-Gauss-Bonnet Theories
• Exact Hairy Black Holes and their Modification to the Universal Law of Gravitation
• A Simple Proof of the Chiral Gravity Conjecture
• Trace Anomaly and Counterterms in Designer Gravity
• On the time dependence of holographic complexity in a dynamical Einstein-dilaton model
• Stability in Designer Gravity
• Thermodynamical properties of hairy black holes in n spacetimes dimensions
• Mass of asymptotically anti-de Sitter hairy spacetimes
• Scalar Charges in Asymptotic AdS Geometries
• Exact topological charged hairy black holes in AdS Space in $D$-dimensions
• Scale Invariant Hairy Black Holes
• Dressing a black hole with non-minimally coupled scalar field hair
• A tale of two superpotentials: Stability and Instability in Designer Gravity
• New hairy black hole solutions with a dilaton potential
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime
• Static black hole solutions with a self interacting conformally coupled scalar field
• Consistent boundary conditions for supergravity
• No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime
• General Bounds on Holographic Complexity
• Quasi-local conserved charges and holography
• Bootstrapping gravity solutions
• Analytic topological hairy dyonic black holes and thermodynamics
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Exploring Accelerating Hairy Black Holes in $2+1$ Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
• Thermodynamics of static dyonic AdS black holes in the $\omega$-deformed Kaluza-Klein gauged supergravity theory
• Analytic three-dimensional primary hair charged black holes and thermodynamics
• More on Asymptotically Anti-de Sitter Spaces in Topologically Massive Gravity
• Spinning scalar solitons in anti-de Sitter spacetime
• Hamiltonian surface charges using external sources
• Asymptotic structure of the Einstein-Maxwell theory on AdS${}_3$
• Brief review on higher spin black holes
• AdS_5 solutions in Einstein--Yang-Mills--Chern-Simons theory
• Variational Methods in AdS/CFT
• Scaling symmetry and scalar hairy rotating AdS_3 black holes
• Conformal Properties of Charges in Scalar-Tensor Gravities
• A Note on Conserved Charges of Asymptotically Flat and Anti-de Sitter Spaces in Arbitrary Dimensions
• Thermodynamics sheds light on black hole dynamics
• Global monopoles, cosmological constant and maximal mass conjecture
• Stability in Einstein-Scalar Gravity with a Logarithmic Branch
• Nonabelian solutions in N=4, D=5 gauged supergravity
• Violation of Energy Bounds in Designer Gravity
• On conserved charges and thermodynamics of the AdS${}_4$ dyonic black hole
• Exploring new Boundary Conditions for $\mathcal{N}=(1,1)$ Extended Higher Spin $Ad{S}_3$ Supergravity
• The Ginzburg-Landau Theory of a Holographic Superconductor
• Quasi normal modes and the area spectrum of a near extremal de Sitter black hole with conformally coupled scalar field
• Interactions resolve state-dependence in a toy-model of AdS black holes
• Reversing Renormalization-Group Flows with AdS/CFT
• Static black holes with axial symmetry in asymptotically AdS${}_4$ spacetime
• Exact holographic RG flows in extended SUGRA
• Higher-dimensional solitons and black holes with a non-minimally coupled scalar field
• $\mathcal{N}=(2,2)$ extended $\mathfrak{sl}(3|2)$ Chern-Simons $Ad{S}_3$ supergravity with new boundaries
• Hairy black holes in AdS with Robin boundary conditions
• Universal slow fall-off to the unique AdS infinity in Einstein-Gauss-Bonnet gravity
• Remarks on Resonant Scalars in the AdS/CFT Correspondence
• An AdS Crunch in Supergravity
• Growing Hair on the extremal $BTZ$ black hole
• Black-Hole Solutions to Einstein's Equations in the Presence of Matter and Modifications of Gravitation in Extra Dimensions
• Negative Complexity of Formation: the Compact Dimensions Strike Back
• Holographic equation of state in fluid/gravity duality
• Scalar hairs and exact vortex solutions in 3D AdS gravity
• Particle Production near an AdS Crunch
• States of Negative Energy and $Ad{S}_5\times S_5/Z_k$
• Warped Flatland
• The Non-integrable Mass and the Scalar Charge
• Thermodynamics of Asymptotically Flat Dyonic Black Holes
• Stability in Holographic Theories with Irrelevant Deformations
• New boundary conditions in Einstein-scalar gravity in three dimensions
• Moving holographic boundaries
• Einstein-scalar field solutions in AdS spacetime: clouds, boundary conditions, and scalar multipoles
• Thermodynamic Topology of 4D Charged AdS Black Holes with $F^{\alpha \beta }{F}^{\gamma \lambda }{R}_{\alpha \gamma \beta \lambda }$ Coupling
• A Note on Scalar Field Theory in AdS_3/CFT_2
• Agujeros Negros con Pelo y Dualidad AdS/CFT
• Holographic Conformal Anomaly and a-Theorem in 5D Scalar-Tensor Theories from Heterotic Strings