Black holes and singularity resolution in higher spin gravity

By A. Castro, E. Hijano, Arnaud Lepage-Jutier, A. Maloney. 2011

173 citations recorded by the source corpus.

A bstractWe investigate higher spin theories of gravity in three dimensions based on the gauge group SL(N, $ \mathbb{R} $) × SL(N, $ \mathbb{R} $). In these theories the usual diffeomorphism symmetry is enhanced to include higher spin gauge transformations under which traditional geometric notions of curvature and causality are no longer invariant. This implies, for example, that apparently singular geometries can be rendered smooth by a gauge transformation, much like the resolution of orbifold singularities in string theory. The classical solutions, including the recently constructed higher spin black hole, are characterized by their holonomies around the non-contractible cycles of space-time. The black hole solutions are shown to be gauge equivalent to a BTZ black hole which is charged under a set of U(1) Chern- Simons fields. Nevertheless, depending on the choice of embedding of the gravitational gauge group, the space-time geometry may be non-trivial. We study in detail the N = 3 example, where this observation allows us to find a gauge where the black hole geometry takes a simple form and the thermodynamic properties can be studied.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b32c3174e771669c3e6ec7200c9ef9d3c196263b

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Citations in the corpus

The action for higher spin black holes in three dimensions (2012, methodology): “Such black hole solutions were indeed constructed and their properties were discussed in [10, 11, 12, 13].”
Conical defects in higher spin theories (2011, background): “In [28, 29, 30, 31, 32] black hole solutions in these theories which carry higher spin charge were constructed.”
Black holes in three dimensional higher spin gravity: a review (2012, methodology): “In [70,71] it was shown that if the holonomy conditions are satisfied, there exists a higher spin gauge transformation which makes the solution manifestly a black hole, i.”
Generalized black holes in three-dimensional spacetime (2014, background): “(iii) The solutions considered in [24] can also be mapped on another particular case of our general form (4.”
Minimal model holography (2012, methodology): “4 Other choices appeared in the analysis of [7, 35, 34].”
Higher spin gravity in 3D: Black holes, global charges and thermodynamics (2012, methodology): “3 We have chosen a different orientability as compared with the one in [3], i.”
Higher spin black holes from CFT (2012, methodology): “This definition has been used to construct explicit black hole solutions carrying higher spin charge [22] (see also [23, 24, 25]).”
Scalar fields and three-point functions in D = 3 higher spin gravity (2011, background): “For instance, there is by now a good understanding of higher spin black holes in D=3 [27,28,23,29,30]; in particular their entropy is known to match that of the dual CFT in the high temperature limit [23].”
Thermodynamics of higher spin black holes in AdS3 (2013, background): “In the conventions of [17, 19], in the diagonal embedding one has Tr [ Λ0Λ0 ]”
Thermodynamics of higher spin black holes in 3D (2012, background): “We find that for general nonvanishing spin-3 chemical potential μ and temperature T , there are four possible branches of solutions of which only one, which we refer to as the “BTZ-branch”, smoothly connects to the BTZ black hole at zero spin-3 chemical potential and which was the subject of the rec”