Tully-Fisher Scalings and Boundary Conditions for Wave Dark Matter

Abstract

We investigate a theory of dark matter called wave dark matter, also known as scalar field dark matter (SFDM) and boson star dark matter or Bose-Einstein condensate (BEC) dark matter (also see axion dark matter), and its relation to the Tully-Fisher relation. We exhibit two boundary conditions that give rise to Tully-Fisher-like relations for spherically symmetric static wave dark matter halos: (BC1) Fixing a length scale at the outer edge of wave dark matter halos gives rise to a Tully-Fisher-like relation of the form $M/v^4=\text{constant}$. (BC2) Fixing the density of dark matter at the outer edge of wave dark matter halos gives rise to a Tully-Fisher-like relation of the form $M/v^{3.4}=\text{const}$.

19 pages, 9 figures

References in corpus (5)

• The Baryon Content of Extremely Low Mass Dwarf Galaxies
• Boson star and dark matter
• Final Fate of Subcritical Evolutions of Boson Stars
• On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity
• Wave Dark Matter and the Tully-Fisher Relation

Cited by in corpus (1)

• Wave Dark Matter and the Tully-Fisher Relation