Construction of wave dark matter halos: Numerical algorithm and analytical constraints
Abstract
We present a wave generalization of the classic Schwarzschild method for constructing selfconsistent halos—such a halo consists of a suitable superposition of waves instead of particle orbits, chosen to yield a desired mean density profile. As an illustration, the method is applied to spherically symmetric halos. We derive an analytic relation between the particle distribution function and the wave superposition amplitudes and show how it simplifies in the highenergy (WKB) limit. We verify the stability of such constructed halos by numerically evolving the SchrödingerPoisson system. The algorithm provides an efficient and accurate way to simulate the timedependent halo substructures from wave interference. We use this method to construct halos with a variety of density profiles, all of which have a core from the groundstate wave function, though the corehalo relation need not be the standard one.
 Publication:

Physical Review D
 Pub Date:
 January 2022
 DOI:
 10.1103/PhysRevD.105.023512
 arXiv:
 arXiv:2109.06125
 Bibcode:
 2022PhRvD.105b3512Y
 Keywords:

 Astrophysics  Cosmology and Nongalactic Astrophysics;
 Astrophysics  Astrophysics of Galaxies;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 21 pages, 15 figures