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Extending the non-singular hyperscaling violating spacetimes

Lei, Yang; Ross, Simon F.

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Authors

Yang Lei



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.

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Copyright Statement
© 2014 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0264-9381/31/3/035007







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