Extending the nonsingular hyperscaling violating spacetimes

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${}_2$. We also consider the behaviour of finite-energy excitations of the spacetime at the horizon, arguing that they will have some divergence there.

25 pages, 1 figure, v2: references added

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• Holographic Dissipative Properties of Non-relativistic Black Branes with Hyperscaling Violation
• Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes
• Five-dimensional Nernst branes from special geometry
• Determination of Dynamical exponents of Graphene at quantum critical point by holography
• Beyond AdS Space-times, New Holographic Correspondences and Applications
• Penrose Limit and Non-relativistic geometries