Lei, Yang and Ross, Simon F. (2014) 'Extending the non-singular hyperscaling violating spacetimes.', Classical and quantum gravity., 31 (3). 035007.
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.
|Keywords:||Hyperscaling violating, Holography, Lifshitz, Singularities PACS number, 11.25.Hf.|
|Full text:||(AM) Accepted Manuscript|
Download PDF (345Kb)
|Publisher Web site:||http://dx.doi.org/10.1088/0264-9381/31/3/035007|
|Publisher 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|
|Date accepted:||No date available|
|Date deposited:||31 March 2014|
|Date of first online publication:||February 2014|
|Date first made open access:||No date available|
Save or Share this output
|Look up in GoogleScholar|