Extending the non-singular hyperscaling violating spacetimes

Lei, Yang; Ross, Simon F.

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 argue that the extension involves an enlargement of the field theory Hilbert space, as in AdS2. We also consider the behaviour of finiteenergy excitations of the spacetime at the horizon, arguing that they will have some divergence there.

Citation

Lei, Y., & Ross, S. F. (2014). Extending the non-singular hyperscaling violating spacetimes. Classical and Quantum Gravity, 31(3), Article 035007. https://doi.org/10.1088/0264-9381/31/3/035007

• Journal Article Type: Article
• Publication Date: Feb 7, 2014
• Deposit Date: Jan 20, 2014
• Publicly Available Date: Mar 31, 2014
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 31
• Issue: 3
• Article Number: 035007
• DOI: https://doi.org/10.1088/0264-9381/31/3/035007
• Keywords: Hyperscaling violating, Holography, Lifshitz, Singularities PACS number, 11.25.Hf.
• Public URL: https://durham-repository.worktribe.com/output/1442251