Effect of small cosmological constant on electromagnetic memory effect

TL;DR

This paper investigates how a small cosmological constant in de Sitter spacetime affects the electromagnetic memory effect, providing perturbative corrections to the flat spacetime results.

Contribution

It derives the leading order curvature corrections to the electromagnetic field and velocity memory effect in a de Sitter background.

Findings

Perturbative electromagnetic field corrections due to de Sitter curvature.

First order corrections to the velocity memory effect.

Universal aspects of the electromagnetic memory in curved spacetime.

Abstract

We consider a generic scattering process that takes place in a region of size R inside the static patch of the de Sitter spacetime such that R is smaller than the curvature length scale of the background. The effect of curvature can thus be studied perturbatively. We obtain the asymptotic electromagnetic field generated by the scattering process including the leading order correction due to the presence of de Sitter background and discuss its universal aspects. We finally caculate the resultant first order corrections to the flat spacetime velocity memory effect.