Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
arXiv:1606.09543 · doi:10.1007/JHEP10(2016)120
Abstract
We construct a new class of 4-dimensional z=2 Lifshitz black branes that have a nonzero linear momentum. These are solutions of an Einstein-Proca-dilaton model that can be obtained by Scherk-Schwarz circle reduction of AdS_5 gravity coupled to a free real scalar field. The boundary of a bulk Lifshitz space-time is a Newton-Cartan geometry. We show that the fluid dual to the moving Lifshitz black brane leads to a novel form of Lifshitz hydrodynamics on a Newton-Cartan space-time. Since the linear momentum of the black brane cannot be obtained by a boost transformation the velocity of the fluid or rather, by boundary rotational invariance, its magnitude plays the role of a chemical potential. The conjugate dual variable is mass density. The Lifshitz perfect fluid can be thought of as arising from a Schroedinger perfect fluid with broken particle number symmetry.
arXiv comment26 pages + 20 pages appendix
References in corpus (57)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Nonlinear Fluid Dynamics from Gravity
- Gravity Duals of Lifshitz-like Fixed Points
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Gravity duals for non-relativistic CFTs
- Viscosity, Black Holes, and Quantum Field Theory
- Effective Holographic Theories for low-temperature condensed matter systems
- Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
- Thermodynamics of Asymptotically Locally AdS Spacetimes
- Non-relativistic holography
- Comments on string theory backgrounds with non-relativistic conformal symmetry
- Heating up Galilean holography
- Torsional Newton-Cartan Geometry and Lifshitz Holography
- Gauging the Carroll Algebra and Ultra-Relativistic Gravity
- Hot Spacetimes for Cold Atoms
- Black holes in asymptotically Lifshitz spacetime
- Essentials of Blackfold Dynamics
- Newtonian Gravity and the Bargmann Algebra
- Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
- World-Volume Effective Theory for Higher-Dimensional Black Holes
- Lifshitz holography
- Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
- Horava-Lifshitz Gravity From Dynamical Newton-Cartan Geometry
- Null Killing Vector Dimensional Reduction and Galilean Geometrodynamics
- Lifshitz Gravity for Lifshitz Holography
- Holographic Renormalization of general dilaton-axion gravity
- Lifshitz Space-Times for Schroedinger Holography
- Black holes and black branes in Lifshitz spacetimes
- Schroedinger Invariance from Lifshitz Isometries in Holography and Field Theory
- On the coupling of Galilean-invariant field theories to curved spacetime
- Quantum critical lines in holographic phases with (un)broken symmetry
- Holography for asymptotically locally Lifshitz spacetimes
- Thermodynamics of black branes in asymptotically Lifshitz spacetimes
- Non-Relativistic Chern-Simons Theories and Three-Dimensional Horava-Lifshitz Gravity
- Holographic Models for Theories with Hyperscaling Violation
- Lifshitz holography: The whole shebang
- Conformal non-relativistic hydrodynamics from gravity
- Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum
- Lifshitz Hydrodynamics
- Aspects of hot Galilean field theory
- Black Brane Viscosity and the Gregory-Laflamme Instability
- Hamilton-Jacobi Renormalization for Lifshitz Spacetime
- String theory embeddings of non-relativistic field theories and their holographic Horava gravity duals
- Holographic Renormalization for z=2 Lifshitz Space-Times from AdS
- Lifshitz Field Theories at Non-Zero Temperature, Hydrodynamics and Gravity
- Effective hydrodynamics of black D3-branes
- Torsional Newton-Cartan Geometry and the Schrödinger Algebra
- Generalized dilatation operator method for non-relativistic holography
- Horava-Lifshitz Black Hole Hydrodynamics
- Null Fluids - A New Viewpoint of Galilean Fluids
- Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes
- Bulk Viscosity in Holographic Lifshitz Hydrodynamics
- Asymptotically Schroedinger Space-Times: TsT Transformations and Thermodynamics
- New Geometries for Black Hole Horizons
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- Perfect Fluids
- Non-Relativistic Gravity and its Coupling to Matter
- Review on Non-Relativistic Gravity
- Non-Boost Invariant Fluid Dynamics
- Embedding Galilean and Carrollian geometries I. Gravitational waves
- Hydrodynamic Modes of Homogeneous and Isotropic Fluids
- Newton-Cartan Submanifolds and Fluid Membranes
- Hydrodynamics without boosts
- Geometrizing non-relativistic bilinear deformations
- Homogeneous Nonrelativistic Geometries as Coset Spaces
- Effective field theory for non-relativistic hydrodynamics
- The Non-Relativistic Geometric Trinity of Gravity
- Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
- Underdetermination in Classic and Modern Tests of General Relativity
- On shape dependence of holographic entanglement entropy in AdS4/CFT3 with Lifshitz scaling and hyperscaling violation
- Non-equilibrium steady states in quantum critical systems with Lifshitz scaling
- Notes on hyperscaling violating Lifshitz and shear diffusion
- Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
- Non-relativistic fluids on scale covariant Newton-Cartan backgrounds
- Lifshitz hydrodynamics at generic from a moving black brane
- Flow of shear response functions in hyperscaling violating Lifshitz theories