Abstract
We study asymptotically Lifshitz solutions to three dimensional higher spin gravity in the SL(3, \( \mathbb{R} \)) × SL(3, \( \mathbb{R} \)) 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.
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Gutperle, M., Hijano, E. & Samani, J. Lifshitz black holes in higher spin gravity. J. High Energ. Phys. 2014, 20 (2014). https://doi.org/10.1007/JHEP04(2014)020
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DOI: https://doi.org/10.1007/JHEP04(2014)020