Asymptotically Schrodinger space-times

TY - JOUR

T1 - Asymptotically Schrodinger space-times

AU - Hartong, Jelle

AU - Roller, Blaise

PY - 2012/9/1

Y1 - 2012/9/1

N2 - We first review how asymptotically Schrödinger 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 Schrödinger space-time in terms of an AdS metric and an AdS null Killing vector. Furthermore, by analogy with the AdS case, we provide a local coordinate independent definition of a Schrödinger boundary in terms of a defining function. Finally this directly leads us to the construction of a Fefferman-Graham expansion for locally Schrödinger space-times.

AB - We first review how asymptotically Schrödinger 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 Schrödinger space-time in terms of an AdS metric and an AdS null Killing vector. Furthermore, by analogy with the AdS case, we provide a local coordinate independent definition of a Schrödinger boundary in terms of a defining function. Finally this directly leads us to the construction of a Fefferman-Graham expansion for locally Schrödinger space-times.

U2 - 10.1002/prop.201200038

DO - 10.1002/prop.201200038

M3 - Journal article

SN - 0015-8208

VL - 60

SP - 1044

EP - 1049

JO - Fortschritte der Physik

JF - Fortschritte der Physik

IS - 9-10. SI

ER -