Asymptotic symmetries in spatially flat FRW
Martin Enriquez-Rojo, Till Heckelbacher
TL;DR
This paper explores the asymptotic symmetries of spatially flat FRW spacetimes, identifying supertranslation and superrotation-like transformations and analyzing their effects on cosmological backgrounds and black holes.
Contribution
It introduces an off-shell framework for asymptotic symmetries in FRW spacetimes and examines their impact on various cosmological and black hole solutions.
Findings
Identified supertranslation and superrotation-like symmetries in FRW spacetimes
Analyzed how these symmetries transform cosmological backgrounds
Studied the effect of symmetries on black hole solutions
Abstract
We perform an off-shell treatment of asymptotically decelerating spatially flat FRW spacetimes at future null infinity. We obtain supertranslation and superrotation-like asymptotic diffeomorphisms which are consistent with the global symmetries of FRW and we compute how the asymptotic data is 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.
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