Lifshitz black holes in higher spin gravity

Abstract

We study asymptotically Lifshitz solutions to three dimensional higher spin gravity in the SL(3,R)xSL(3,R) Chern-Simons formulation. We begin by specifying the most general connections satisfying Lifshitz boundary conditions, and we verify that their algebra of symmetries contains a Lifshitz sub-algebra. We then exhibit connections that can be viewed as higher spin Lifshitz black holes. We show that when suitable holonomy conditions are imposed, these black holes obey sensible thermodynamics and possess a gauge in which the corresponding metric exhibits a regular horizon.

34 pages, LaTeX, 10 figures, v2: minor edits, 2 new references

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• Flat space (higher spin) gravity with chemical potentials
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• Higher-Spin Flat Space Cosmologies with Soft Hair
• Asymptotically flat structure of hypergravity in three spacetime dimensions
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Lifshitz Holography with Isotropic Scale Invariance
• Brief review on higher spin black holes
• How General Is Holography?
• A new spin on entanglement entropy
• Higher Spin Lifshitz Theories and the KdV-Hierarchy
• Higher Spin Lifshitz Theory and Integrable Systems
• Black Holes in the 3D Higher Spin Theory and Their Quasi Normal Modes
• Connection vs metric description for non-AdS solutions in higher spin theories
• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Null warped AdS in higher spin gravity
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• About the phase space of SL(3) Black Holes
• Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity