Period change of binary pulsars due to the accretion of dark matter particles

TL;DR

This paper investigates how dark matter particle accretion affects the orbital periods of binary pulsars, concluding that the impact is negligible compared to gravitational wave emission for typical dark matter densities.

Contribution

It provides an estimation of period changes in binary pulsars caused by dark matter accretion, highlighting its minimal effect relative to gravitational wave emission.

Findings

Dark matter accretion causes negligible period change in binary pulsars.

Gravitational wave emission dominates period change effects.

Dark matter density around the sun results in insignificant impact.

Abstract

As binary systems move inside galaxies, they interact with the dark matter halo. This interaction leads to the accretion of dark matter particles inside binary components. The accretion of dark matter particles increases the mass of the binary components and then, the total mass of the system. Increased mass by this way can affect other physical parameters of the systems, like orbital periods of the systems. In this work, we estimated the period change of some known compact binary systems due to the accretion of dark matter particles inside them. Our conclustion is that, for WIMP particles with masses in the range $\simeq 10 \: GeV.c^{-2}$ and dark matter density as high as the dark matter density around the sun, period change due to accretion of dark matter partices is negligible compared to the period change due to the emission of gravitaional waves from the systems.