Scalarization-like mechanism through spacetime anisotropic scaling symmetry

Abstract

We present a new family of exact black hole configurations, which is a solution to a generalized Einstein-Maxwell-Dilaton setup in arbitrary dimension. These solutions are asymptotically Lifshitz for any dynamical critical exponent $z\ge 1$. It turns out that the existence of a nontrivial scalar field is a direct consequence of breaking the spacetime isotropic scaling symmetry. This black hole family accepts various interesting limits that link it to well-known solutions in both the isotropic and anisotropic cases. We study the thermodynamics of these field configurations showing that the first law is satisfied and providing the corresponding Smarr formula, both of these relations account for an electric contribution. Furthermore, we show that for a certain parameter region, the anisotropic field configuration with a nonzero scalar field is thermodynamically preferred. This observation, together with a direct verification of the so-called scalarization conditions, suggest that the emergence of the dilaton field is due to a mechanism similar to spontaneous scalarization.

arXiv comment22 pages, 3 figures, Journal version

References in corpus (61)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Quantum Gravity at a Lifshitz Point
• Testing General Relativity with Present and Future Astrophysical Observations
• Charged AdS Black Holes and Catastrophic Holography
• Gravity Duals of Lifshitz-like Fixed Points
• Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
• Tensor-scalar gravity and binary-pulsar experiments
• A healthy extension of Horava gravity
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• The (2+1)-Dimensional Black Hole
• Shadows of Kerr black holes with scalar hair
• Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Black holes in scalar-tensor gravity
• Prospects for Fundamental Physics with LISA
• Solutions to Horava Gravity
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Spontaneous scalarisation of charged black holes
• Holographic quantum matter
• Black holes with scalar hair in light of the Event Horizon Telescope
• Horava-Lifshitz gravity: a status report
• No hair for spherical black holes: charged and nonminimally coupled scalar field with self--interaction
• Spin-induced black hole spontaneous scalarization
• Lifshitz Black Hole in Three Dimensions
• Spontaneous scalarisation of charged black holes: coupling dependence and dynamical features
• Neutron stars in scalar-tensor theories of gravity and catastrophe theory
• Black holes with surrounding matter in scalar-tensor theories
• Analytic Lifshitz black holes in higher dimensions
• Matter around Kerr black holes in scalar-tensor theories: scalarization and superradiant instability
• Holographic Superconductors with Lifshitz Scaling
• Quasi-Local Conserved Charges in Covariant Theory of Gravity
• Stability Analysis of Spherically Symmetric Star in Scalar-Tensor Theories of Gravity
• Spherical neutron star collapse toward a black hole in tensor-scalar theory of gravity
• Scalarized Hairy Black Holes
• On spontaneous scalarization
• Holographic Superconductors with Hořava-Lifshitz Black Holes
• The first law of thermodynamics in Lifshitz black holes revisited
• Einstein-Yang-Mills Isolated Horizons: Phase Space, Mechanics, Hair and Conjectures
• Spontaneous scalarization of charged black holes at the approach to extremality
• Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes
• Black hole scalarisation from the breakdown of scale-invariance
• No-Hair Theorems and Black Holes with Hair
• Thermodynamics of Lifshitz Black Holes
• Uniqueness of Extremal Kerr and Kerr-Newman Black Holes
• First law and anisotropic Cardy formula for three-dimensional Lifshitz black holes
• A Cardy-like formula for rotating black holes with planar horizon
• Higher dimensional black hole scalarization
• Scalar field perturbations in asymptotically Lifshitz black holes
• No hair theorems for positive Λ
• Microscopic entropy of higher-dimensional nonminimally dressed Lifshitz black holes
• Thermodynamics of dyonic black holes with Thurston horizon geometries
• No hair theorems for stationary axisymmetric black holes
• Thermodynamics and Cardy-like formula for nonminimally dressed, charged Lifshitz black holes in New Massive Gravity
• Uniqueness of Flat Spherically Symmetric Spacelike Hypersurfaces Admitted by Spherically Symmetric Static Spactimes
• Spontaneous violation of the energy conditions
• Scaling symmetry and scalar hairy Lifshitz black holes
• The No-Hair Theorem for the Abelian Higgs Model
• A Mass Formula for EYM Solitons
• The violation of the weak energy condition, Is it generic of spontaneous scalarization ?
• Charged scalar quasi-normal modes for higher-dimensional Born-Infeld dilatonic black holes with Lifshitz scaling

Cited by in corpus (6)

• Rotating Spacetimes generalizing Lifshitz Black Holes
• Charged dilatonic black holes in dilaton-massive gravity
• Bianchi IX geometry and the Einstein-Maxwell theory
• Anisotropic Schrödinger black holes with hyperscaling-violation
• Quasinormal modes for charged Lifshitz black holes with scalar hair
• Lifshitz black holes in four-dimensional Critical Gravity