In this talk, I will discuss the solution space of general relativity in Bondi gauge, with non‐vanishing cosmological constant. Using the dictionary between Bondi and Fefferman‐Graham gauges, the analogues of the Bondi news, Bondi mass and Bondi angular momentum aspects at the boundary of generic asymptotically locally dS4 spacetimes will be identified. Then, I will introduce the Λ‐BMS4 group as the residual symmetry group of Bondi gauge after boundary gauge fixing. This group consists in infinite dimensional non‐abelian supertranslations and superrotations and it reduces in the asymptotically flat limit to the extended BMS4 group.
Furthermore, I will present new boundary conditions for asymptotically locally AdS4 spacetimes which admit R times the group of area‐preserving diffeomorphisms as the asymptotic symmetry group.
Romain Ruzziconi (Belgien): The Λ‐BMS4 group of dS4 and new boundary conditions for AdS4
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Foto: Barbara Mair