Extending the nonsingular hyperscaling violating spacetimes
arXiv:1310.5878 · doi:10.1088/0264-9381/31/3/035007
Abstract
Lifshitz and hyperscaling violating geometries, which provide a holographic description of non-relativistic field theories, generically have a singularity in the infrared region of the geometry, where tidal forces for freely falling observers diverge, but there is a special class of hyperscaling violating geometries where this tidal force divergence does not occur. We explicitly construct a smooth extension of the spacetime in this case, and explore the structure of the spacetime. We find that the spacetime has two disconnected boundaries, as in AdS. We also consider the behaviour of finite-energy excitations of the spacetime at the horizon, arguing that they will have some divergence there.
arXiv comment25 pages, 1 figure, v2: references added
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- Beyond AdS Space-times, New Holographic Correspondences and Applications
- Penrose Limit and Non-relativistic geometries