Tidal deformability of boson stars and dark matter clumps

TL;DR

This paper calculates the tidal deformability of boson stars in tidal environments and relates these results to dark matter clumps using an approximate Newtonian correspondence.

Contribution

It introduces a method to compute the tidal deformability of boson stars and establishes an approximate link to dark matter clumps via Newtonian models.

Findings

Tidal deformability of boson stars computed to leading order.

An approximate mapping between boson stars and dark matter clumps.

Results enable inference of dark matter clump properties from boson star models.

Abstract

In this work we consider minimally-coupled boson stars immersed in a tidal environment and compute their tidal deformability to leading order. We also describe an approximate correspondence between Newtonian boson star configurations (described by the Schr\"{o}dinger-Poisson equations) and dynamical dark matter clumps (described by the collisionless Boltzmann equation). This allows us to map our results for the tidal deformability of boson stars to approximate statements for dark matter clumps.