Scalar Field Wave (Fuzzy) Dark Matter and the Formation of Galaxies

Abstract

We investigate Scalar Field Wave Dark Matter in the context of galactic Dark Matter halos. In particular, we offer an analysis of the Baryonic Tully-Fisher Relation (BTFR). We detail a particular family of excited state solutions to the Einstein-Klein-Gordon equations, and use it to provide a novel theoretical model for producing the BTFR. We then solve this model computationally to simulate the BTFR. Interpreting the Dark Matter scalar field as an ultralight boson, this returns a conservative mass constraint of $m\ge 10^{-23}eV$. Assuming slightly stronger conditions suggests $m\ge 10^{-22}eV$ to be more compatible with the BTFR. We provide a discussion of Scalar Field Dark Matter rotation curves and the structure of Scalar Field Dark Matter halos. Compatibility with the BTFR requires the excited state solutions to obey particular boundary conditions; this may have implications for the behavior of Dark Matter halos and the formation of galaxies.

arXiv comment16 pages, 14 figures

References in corpus (19)

• A direct empirical proof of the existence of dark matter
• Cold and Fuzzy Dark Matter
• Ultralight scalars as cosmological dark matter
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• Direct constraints on the dark matter self-interaction cross-section from the merging galaxy cluster 1E0657-56
• The Baryonic Tully-Fisher Relation
• Understanding the Core-Halo Relation of Quantum Wave Dark Matter, $\psi$DM, from 3D Simulations
• Galaxy Formation with BECDM: I. Turbulence and relaxation of idealised haloes
• The small scatter of the baryonic Tully-Fisher relation
• Galactic Halos As Boson Stars
• The power spectrum of SUSY-CDM on sub-galactic scales
• Cosmological Constraints on Bose-Einstein-Condensed Scalar Field Dark Matter
• Dynamical Evolution of Boson Stars II: Excited States and Self-Interacting Fields
• Galactic Collapse of Scalar Field Dark Matter
• Formation, Gravitational Clustering and Interactions of Non-relativistic Solitons in an Expanding Universe
• The Shapes of the Rotation Curves of Star-forming Galaxies Over the Last $\approx$10 Gyr
• The IllustrisTNG Simulations: Public Data Release
• Hot Dark Matter in Cosmology
• The Einstein-Klein-Gordon Equations, Wave Dark Matter, and the Tully-Fisher Relation