Quasi-Topological Lifshitz Black Holes
arXiv:1101.3476 · doi:10.1103/PhysRevD.84.024012
Abstract
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.
Latex, 15 pages, 10 figures
References in corpus (11)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Quantum Gravity at a Lifshitz Point
- Building an AdS/CFT superconductor
- Lectures on Holographic Superfluidity and Superconductivity
- Non-relativistic holography
- Hall conductivity from dyonic black holes
- A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
- Black holes in asymptotically Lifshitz spacetime
- Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
- Pathologies in Asymptotically Lifshitz Spacetimes
- On the Stress Tensor for Asymptotically Flat Gravity