Lifshitz Topological Black Holes

By Robert B. Mann. 2009

210 citations recorded by the source corpus.

I find a class of black hole solutions to a (3+1) dimensional theory gravity coupled to abelian gauge fields with negative cosmological constant that has been proposed as the dual theory to a Lifshitz theory describing critical phenomena in (2+1) dimensions. These black holes are all asymptotic to a Lifshitz fixed point geometry and depend on a single parameter that determines both their area (or size) and their charge. Most of the solutions are obtained numerically, but an exact solution is also obtained for a particular value of this parameter. The thermodynamic behaviour of large black holes is almost the same regardless of genus, but differs considerably for small black holes. Screening behaviour is exhibited in the dual theory for any genus, but the critical length at which it sets in is genus-dependent for small black holes.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/cdaa79a13c5af60e85fcfcb2e76090536efa8546

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Citations in the corpus

Hořava–Lifshitz dark energy (2009, background): “In particular, one can examine specific solution subclasses [34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46], the phase-space behavior [47, 48, 49, 50, 51], the gravitational wave production [52, 53, 54, 55, 56, 57], the perturbation spectrum [58, 59, 60, 61, 62, 63, 64, 65, 66], the matter boun”
Holography of charged dilaton black holes (2009, background): “Other interesting examples of black hole solutions which asymptote to 4D Lifshitz metrics with various values of the dynamical exponent z have appeared in [32–41].”
Lifshitz holography (2015, background): “Numerical solutions for Lifshitz black holes and branes have been found in [91, 75, 76, 92, 93, 94, 95, 96].”
AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities (2012, background): “A class of Lifshitz black hole solutions with non-planar horizons was found in [45, 46].”