Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point

Abstract

In this paper, we study static vacuum solutions of quantum gravity at a fixed Lifshitz point in (2+1) dimensions, and present all the diagonal solutions in closed forms in the infrared limit. The exact solutions represent spacetimes with very rich structures: they can represent generalized BTZ black holes, Lifshitz space-times or Lifshitz solitons, in which the spacetimes are free of any kind of space-time singularities, depending on the choices of the free parameters of the solutions. We also find several classes of exact static non-diagonal solutions, which represent similar space-time structures as those given in the diagonal case. The relevance of these solutions to the non-relativistic Lifshitz-type gauge/gravity duality is discussed.

arXiv commentrevtex4, 5 figures. Typos are corrected

References in corpus (83)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• Modified Gravity and Cosmology
• The Black Hole in Three Dimensional Space Time
• Quantum Gravity at a Lifshitz Point
• The Dynamics of General Relativity
• Lectures on holographic methods for condensed matter physics
• Gravity Duals of Lifshitz-like Fixed Points
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• General Laws of Black-Hole Dynamics
• Towards singularity and ghost free theories of gravity
• Holographic duality with a view toward many-body physics
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Non-relativistic holography
• Horava-Lifshitz Cosmology: A Review
• Introduction to Holographic Superconductors
• What can gauge-gravity duality teach us about condensed matter physics?
• Black holes in asymptotically Lifshitz spacetime
• Lower Bound on the Propagation Speed of Gravity from Gravitational Cherenkov Radiation
• Constraining the New Aether: Gravitational Cherenkov Radiation
• Symmetry Breaking Using Value Precedence
• Lifshitz Black Hole in Three Dimensions
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
• Lifshitz Solutions of D=10 and D=11 supergravity
• An analytic Lifshitz black hole
• Horava gravity vs. thermodynamics: the black hole case
• Lifshitz Gravity for Lifshitz Holography
• On Lorentz violation in Horava-Lifshitz type theories
• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• Mechanics of universal horizons
• Lifshitz spacetimes from AdS null and cosmological solutions
• Analytic Lifshitz black holes in higher dimensions
• Lifshitz solutions in supergravity and string theory
• On Horava-Lifshitz "Black Holes"
• General Covariance in Gravity at a Lifshitz Point
• Pathologies in Asymptotically Lifshitz Spacetimes
• On Charged Lifshitz Black Holes
• Towards thermodynamics of universal horizons in Einstein-æther theory
• Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes
• Gravitational waves, black holes and cosmic strings in cylindrical symmetry
• General covariant Horava-Lifshitz gravity without projectability condition and its applications to cosmology
• U(1) symmetry and elimination of spin-0 gravitons in Horava-Lifshitz gravity without the projectability condition
• Quantum Gravity in 2+1 Dimensions
• Anisotropic Conformal Infinity
• Dynamical Emergence of Universal Horizons during the formation of Black Holes
• Lovelock-Lifshitz Black Holes
• Critical Collapse of Cylindrically Symmetric Scalar Field in Four-Dimensional Einstein's Theory of Gravity
• Ray tracing Einstein-Æther black holes: Universal versus Killing horizons
• Surface gravities for non-Killing horizons
• Introduction to Gauge/Gravity Duality
• Quasi-Topological Lifshitz Black Holes
• Particle Kinematics in Horava-Lifshitz Gravity
• Charged Lifshitz Black Holes
• Singularities in Horava-Lifshitz theory
• Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum
• Post-Newtonian approximations in the Hořava-Lifshitz gravity with extra U(1) symmetry
• Schwinger-Dyson approach for a Lifshitz-type Yukawa model
• The Benefits of Stress: Resolution of the Lifshitz Singularity
• Notes on Matter in Horava-Lifshitz Gravity
• Black holes and global structures of spherical spacetimes in Horava-Lifshitz theory
• Lifshitz black holes in higher spin gravity
• Stationary and slowly rotating spacetimes in Hořava-Lifshitz gravity
• Lifshitz black holes in string theory
• Plane symmetric solutions in Horava-Lifshitz theory
• Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity
• Interpolating from Bianchi Attractors to Lifshitz and AdS Spacetimes
• Comment on "Absence of trapped surfaces and singularities in cylindrical collapse"
• No-Go Theorem in Spacetimes with Two Commuting Spacelike Killing Vectors
• Higher derivative corrections to Lifshitz backgrounds
• Conformal Anisotropic Mechanics
• Lifshitz black holes in the Hořava-Lifshitz gravity
• Lifshitz black holes in Einstein-Yang-Mills theory
• Absence of trapped surfaces and singularities in cylindrical collapse
• Static electromagnetic fields and charged black holes in general covariant theory of Horava-Lifshitz gravity
• Lifshitz-sector mediated SUSY breaking
• Lifshitz black holes in IIA supergravity
• From AdS to Schrödinger/Lifshitz dual space-times without or with hyperscaling violation
• Particle Motion with Hořava -- Lifshitz type Dispersion Relations
• The Rotating Black Hole in Renormalizable Quantum Gravity: The Three-Dimensional Hořava Gravity Case
• Lifshitz Solitons
• Spacetime Singularities in String and its Low Dimensional Effective Theory

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• Rotating black holes in three-dimensional Hořava gravity
• Thermodynamics of Lifshitz Black Holes
• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• Universal horizons and black holes in gravitational theories with broken Lorentz symmetry
• Quasinormal ringing of black holes in Einstein aether theory
• New look at black holes: Existence of universal horizons
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Three-dimensional charged Einstein-aether black holes and Smarr formula
• Horava-Lifshitz Black Hole Hydrodynamics
• Static and rotating universal horizons and black holes in gravitational theories with broken Lorentz invariance
• Spherically symmetric exact vacuum solutions in Einstein-aether theory
• Charged Black Holes in Colored Lifshitz Spacetimes
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• No static black hole hairs in gravitational theories of gravity with broken Lorentz invariance
• Lifshitz holographic superconductor in Horava-Lifshitz gravity
• Thermal geometry from CFT at finite temperature
• Thermodynamical study on universal horizons in higher $D$-dimensional spacetime and aether waves
• Dispersion relation and surface gravity of universal horizons
• Gravitational plane waves in Einstein-aether theory
• Several integrals of quaternionic field on hyperbolic matrix space
• Charged Lifshitz black hole and probed Lorentz-violation fermions from holography
• Crystalline geometries from fermionic vortex lattice with hyperscaling violation
• Phantom BTZ black holes
• Effects of high-order operators in non-relativistic Lifshitz holography
• Asymptotic flatness and nonflat solutions in the critical 2+1 Horava theory
• Lower-dimensional Gauss-Bonnet gravity black holes with quintessence
• Exact analytic solutions in 2+1 Hořava gravity with cosmological constant