Estimation of attenuation of gravitational waves by Bose-Einstein condensate dark matter halos using Bogoliubov-de Gennes theory

TL;DR

This paper investigates how gravitational waves are attenuated by Bose-Einstein condensate dark matter halos using Bogoliubov-de Gennes theory, concluding the effect is negligible for distance estimation.

Contribution

It introduces a novel application of Bogoliubov-de Gennes theory to model gravitational wave attenuation in dark matter halos.

Findings

Fractional energy loss of gravitational waves is negligible.

The model applies linear response theory to non-uniform condensates.

Implications for gravitational wave distance measurements are minimal.

Abstract

We consider a gravitational plane wave passing through a galactic dark matter halo composed of weakly self-interacting, self-gravitating, Bose-Einstein condensate of ultralight particles. Treating the gravitational wave as a time dependent perturbation, we study energy transfer between the gravitational wave and the Bose-Einstein condensate by applying linear response theory to a non-uniform condensate described by the Bogoliubov-de Gennes theory, and compute the fractional loss in gravitational wave energy. We apply our results to investigate the extent to which this loss effects the estimation of the distance between the gravitational wave source and the earth. We show that the effect is negligible.