Quasi-Topological Lifshitz Black Holes

Details Quasi-Topological Lifshitz Black Holes Quasi-Topological Lifshitz Black Holes

2011-01-18

arxiv.org/abs/1101.3476v1

Phys.Rev.D84:024012,2011

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 15 pages, 10 figures

Scientific paper

10.1103/PhysRevD.84.024012

We investigate the effects of including a quasi-topological cubic curvature term to the Gauss-Bonnet action to five dimensional Lifshitz gravity. We find that a new set of Lifshitz black hole solutions exist that are analogous to those obtained in third-order Lovelock gravity in higher dimensions. No additional matter fields are required to obtain solutions with asymptotic Lifshitz behaviour, though we also investigate solutions with matter. Furthermore, we examine black hole solutions and their thermodynamics in this situation and find that a negative quasi-topological term, just like a positive Gauss-Bonnet term, prevents instabilities in what are ordinarily unstable Einsteinian black holes.

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