Singularities in holographic non-relativistic spacetimes

Abstract

We studied the physical meaning of tidal force singularities in non-relativistic spacetimes. Typical examples of such spacetimes include Lifshitz spacetimes, Schrdinger spacetimes and hyperscaling violation spacetimes. First I will discuss the extension of singularity-free hyperscaling violation geometry. To understand the physical meaning of singularity in the deep non-relativistic IR bulk, I will calculate string scattering amplitudes to find a field theory interpretation of bulk singularity. Since geometric quantities like singularities or horizons are not physical observables in higher spin theory, we will discuss whether it is possible to resolve such singularities in non-relativistic spacetimes from higher spin theory context. We will show singularity resolution cannot be performed in dimensional higher spin theory. Finally, we will give an explicit construction of Schrdinger spacetime solutions in dimensional higher spin theory.