Memory in de Sitter space and BMS-like supertranslations

Understand

It is well known that the memory effect in flat spacetime is parametrized by the BMS supertranslation.

• We investigate the relation between the memory effect and diffeomorphism in de Sitter spacetime.
• We find that gravitational memory is parametrized by a BMS-like supertranslation in the static patch of de Sitter spacetime.
• We also show a diffeomorphism that corresponds to gravitational memory in the Poincare/cosmological patch.