Exploring the black hole spectrum of axionic Horndeski theory
arXiv:2106.07458 · doi:10.1103/PhysRevD.104.104067
Abstract
We provide a ``user-friendly'' algorithm to systematically and rapidly obtain exact planar black hole solutions in the Einstein-Maxwell theory deformed by the most general shift- and reflection-symmetric Horndeski sector where the usual Galileon is replaced by a tuple of scalars with profiles linear in the coordinates of the transverse manifold. Under precise assumptions, these axion backgrounds break the translational invariance of the system, causing momentum dissipation in the holographically dual field theory. The success of the method relies on the simple realization that the bulk equations of motion become more tractable when written in terms of the axions kinetic terms, instead of the radial coordinate. Showcasing this particularly efficient recipe, we derive novel asymptotically AdS black holes, and show that their extremal counterparts always flow to an infrared fixed point. Additionally, we report an interesting family of new asymptotically Lifshitz black hole solutions with . Finally, we discuss the DC transport properties of the dual relativistic field theories in view of possible applications to condensed matter systems.
arXiv comment37 pages, LATeX, 6 figures
References in corpus (69)
- Black Hole Entropy is Noether Charge
- Building an AdS/CFT superconductor
- Lectures on holographic methods for condensed matter physics
- Generalized G-inflation: Inflation with the most general second-order field equations
- From k-essence to generalised Galileons
- Theoretical Aspects of Massive Gravity
- Covariant Galileon
- Gravity Duals of Lifshitz-like Fixed Points
- Ghost Condensation and a Consistent Infrared Modification of Gravity
- Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
- A simple holographic model of momentum relaxation
- Phases of massive gravity
- Holographic quantum matter
- Holographic duality and the resistivity of strange metals
- Holography without translational symmetry
- Momentum relaxation in holographic massive gravity
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- Holographic Lattices Give the Graviton a Mass
- The anisotropic N=4 super Yang-Mills plasma and its instabilities
- Lifshitz holography
- Thermoelectric DC conductivities from black hole horizons
- Hamiltonian analysis of higher derivative scalar-tensor theories
- A formal introduction to Horndeski and Galileon theories and their generalizations
- Relativistic Fluids, Superfluids, Solids and Supersolids from a Coset Construction
- Quantum Critical Transport and the Hall Angle
- Topological black holes dressed with a conformally coupled scalar field and electric charge
- Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling
- Holographic Phonons
- Absence of disorder-driven metal-insulator transitions in simple holographic models
- Solid Holography and Massive Gravity
- Black Hole Entropy and Viscosity Bound in Horndeski Gravity
- Scaling theory of the cuprate strange metals
- Black hole elasticity and gapped transverse phonons in holography
- Diving into a holographic superconductor
- Holographic Axion Model: a simple gravitational tool for quantum matter
- Shaping black holes with free fields
- A Practical Mini-Course on Applied Holography
- Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
- Lifshitz holography: The whole shebang
- Lifshitz black holes with a time-dependent scalar field in Horndeski theory
- Diffusivities bounds and chaos in holographic Horndeski theories
- Thermodynamics of Charged Black Holes in Einstein-Horndeski-Maxwell Theory
- Phases of planar AdS black holes with axionic charge
- On Effective Holographic Mott Insulators
- No Inner-Horizon Theorem for Black Holes with Charged Scalar Hairs
- Regular black holes via the Kerr-Schild construction in DHOST theories
- A Unified Description of Translational Symmetry Breaking in Holography
- On the Null Energy Condition and Causality in Lifshitz Holography
- On holographic disorder-driven metal-insulator transitions
- Axionic black branes in the k-essence sector of the Horndeski model
- Chasing the cuprates with dilatonic dyons
- Axionic black branes with conformal coupling
- DC Conductivities with Momentum Dissipation in Horndeski Theories
- Holographic Heat Current as Noether Current
- Black holes with a nonconstant kinetic term in degenerate higher-order scalar tensor theories
- Elasticity bounds from Effective Field Theory
- Diving inside a hairy black hole
- No Scalar-Haired Cauchy Horizon Theorem in Einstein-Maxwell-Horndeski Theories
- An a-theorem for Horndeski Gravity at the Critical Point
- Constraining the number of horizons with energy conditions
- Singularities in Hyperscaling Violating Spacetimes
- Black branes in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity
- Scale Invariance vs. Conformal Invariance: Holographic Two-Point Functions in Horndeski Gravity
- Axionic charged black branes with arbitrary scalar nonminimal coupling
- Magnetically-Charged Black Branes and Viscosity/Entropy Ratios
- Universal Black Holes
- Quartic Horndeski, planar black holes, holographic aspects and universal bounds
- Universal -form black holes in generalized theories of gravity
- On universal black holes
Cited by in corpus (5)
- Colloquium: Hydrodynamics and holography of charge density wave phases
- Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
- Transport properties in the Horndeski holographic two-currents model
- Alternating current conductivity and superconducting properties of the holographic effective theory
- What's inside a hairy black hole in massive gravity?