Effect of a small cosmological constant on the electromagnetic memory effect

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 calculate the resultant first order corrections to the flat spacetime velocity memory effect.