English

Radial Acceleration Relation from Ultra-light Scalar Dark matter

Astrophysics of Galaxies 2019-07-02 v3 Cosmology and Nongalactic Astrophysics

Abstract

We show that ultra-light scalar dark matter (fuzzy dark matter) in galaxies has a quantum mechanical typical acceleration scale about 1010\mboxms210^{-10}\,\mbox{ms}^{-2}, which leads to the baryonic Tully-Fisher relation. Baryonic matter at central parts of galaxies acts as a boundary condition for dark matter wave equation and influences stellar rotation velocities in halos. Without any modification of gravity or mechanics this model also explains the radial acceleration relation and MOND-like behavior of gravitational acceleration found in galaxies having flat rotation curves. This analysis can be extended to the Faber-Jackson relation.

Keywords

Cite

@article{arxiv.1901.00305,
  title  = {Radial Acceleration Relation from Ultra-light Scalar Dark matter},
  author = {Jae-Weon Lee and Hyeong-Chan Kim and Jungjai Lee},
  journal= {arXiv preprint arXiv:1901.00305},
  year   = {2019}
}
R2 v1 2026-06-23T07:01:10.679Z