Gravitational wave memory in de Sitter spacetime

TL;DR

This paper investigates gravitational wave memory effects in de Sitter spacetime, revealing similarities to flat spacetime but with effects amplified by redshift, relevant for expanding universe models.

Contribution

It extends gravitational wave memory analysis to de Sitter spacetime, providing insights into cosmological effects on gravitational wave signals.

Findings

Memory effect magnitude is multiplied by a redshift factor.

Results are similar to flat spacetime but account for cosmological expansion.

Potential for generalization to more realistic cosmologies.

Abstract

We examine gravitational wave memory in the case where sources and detector are in an expanding cosmology. For simplicity, we treat the case where the cosmology is de Sitter spacetime, and discuss the possibility of generalizing our results to the case of a more realistic cosmology. We find results very similar to those of gravitational wave memory in an asymptotically flat spacetime, but with the magnitude of the effect multiplied by a redshift factor.