Alpha-prime corrections to space-like branes

Abstract

Space-like branes or S-branes are certain class of time dependent solutions of M/string theories having isometries ISO(p+1) $\times$ SO(d-p-2,1), where $d=11,10$ respectively and have singularities at t=0. In \cite{Roy:2006du}, we found that the asymptotically flat S-branes have the structure of generalized Kasner geometry near t=0. In this work we evaluate higher order ${\alpha }^{\prime }$ corrections perturbatively to the heterotic string Kasner backgrounds to probe the singularity at t=0. We generally find that the perturbative corrections do not permit us to reach the singular point, as the supergravity framework fails near $t\sim {\sqrt{\alpha }}^{\prime }$ blurring the origin of space-like singularities. This is analogous to the concept of stretched horizons in the case of black holes.

18 pp; v2: Major changes in the constant dilaton backgrounds and some sections are rearranged

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