A Schrödinger approach to Newton-Cartan and Hořava-Lifshitz gravities

by Dr Hamidreza Afshar (School of Physics (IPM))

Thursday 24 Dec 2015, 11:00 → 12:00 Asia/Tehran

Seminar room (School of Particles and Accelerators)

We define a ‘non-relativistic conformal method’, based on a Schrödinger algebra with critical exponent z = 2, as the non-relativistic version of the relativistic conformal method. An important ingredient of this method is the occurrence of a complex compensating scalar field that transforms under both scale and central charge transformations. We apply this non-relativistic method to derive the curved space Newton-Cartan gravity equations of motion .with twistless torsion. Moreover, we reproduce z = 2 Hořava-Lifshitz gravity by classifying all possible Schrödinger invariant scalar field theories of a complex scalar up to second order in time derivatives