Accretion-Driven Squeezing of Fuzzy Dark Matter Halo Cores in the Schr\"odinger-Newton Framework

TL;DR

This paper explores how accretion onto supermassive black holes affects fuzzy dark matter cores, showing that black hole growth can squeeze the core, reducing its size and increasing density, with implications for galactic observations.

Contribution

It introduces a numerical study of accretion effects on fuzzy dark matter cores using the Schr"odinger-Newton framework, revealing core squeezing due to black hole growth.

Findings

Accretion causes significant squeezing of the fuzzy dark matter core.

Core size decreases while central density increases due to black hole influence.

Results may explain discrepancies in observed galactic core densities.

Abstract

We investigate the impact of accretion onto supermassive black holes on the density profiles of a fuzzy dark matter soliton core at the center of a dark matter halo. Treating the supermassive black hole at the center of a galaxy as a point mass, we numerically solve the Schr\"odinger-Newton equation for the scalar field. We find that the time-dependent perturbation has a significant squeezing effect on the soliton density profile, which both reduces the size of the core and increases the central density. This finding provides insights into how black hole growth influences fuzzy dark matter structures, potentially addressing discrepancies in galactic core observations.