1202.1433 (Jelle Hartong et al.)

Asymptotically Schrödinger Space-Times    [PDF]

Jelle Hartong, Blaise Rollier

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.

View original: http://arxiv.org/abs/1202.1433