Asymptotic symmetries in spatially flat FRW spacetimes

Abstract

We perform an off-shell treatment of asymptotically decelerating spatially flat Friedmann-Robertson-Walker (FRW) spacetimes at future null infinity. We obtain supertranslation and superrotationlike asymptotic diffeomorphisms which are consistent with the global symmetries of FRW, and we compute how the asymptotic data are transformed under them. Further, we study in detail the effect of these diffeomorphisms on some simple backgrounds including unperturbed FRW and Sultana-Dyer black hole. In particular, we investigate how these transformations act on several cosmologically perturbed backgrounds.