Asymptotically Schrödinger Space-Times

Details Asymptotically Schrödinger Space-Times Asymptotically Schrödinger Space-Times

2012-02-07

arxiv.org/abs/1202.1433v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, based on a contribution to the Proceedings of the XVII European Workshop on String Theory (Padova, 5-9 September 2011

Scientific paper

We first review how asymptotically Schr\"odinger space-times arise in a natural way by performing a TsT transformation on asymptotically AdS space-times and some of its consequences. We then give a coordinate independent definition of a pure Schr\"odinger space-time in terms of an AdS metric and an AdS null Killing vector. Then, by analogy with the AdS case, we provide a local and coordinate independent definition of a Schr\"odinger boundary in terms of a defining function. We use this to construct the Fefferman-Graham expansions of locally Schr\"odinger space-times.

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