Asymptotically Schr\"odinger Space-Times

Blaise Rollier; Jelle Hartong

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Asymptotically Schr\"odinger Space-Times

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arxiv 1202.1433 v1 pith:7MKTP62S submitted 2012-02-07 hep-th

Asymptotically Schr\"odinger Space-Times

Jelle Hartong , Blaise Rollier This is my paper

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keywords odingerschrspace-timesasymptoticallycoordinatedefinitionindependentterms

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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.

Asymptotically Schr\"odinger Space-Times

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