Scalar field dark matter: behavior around black holes
Abstract
We present the numerical evolution of a massive test scalar fields around a Schwarzschild spacetime. We proceed by using hyperboloidal slices that approach future null infinity, which is the boundary of scalar fields, and also demand the slices to penetrate the event horizon of the black hole. This approach allows the scalar field to be accreted by the black hole and to escape toward future null infinity. We track the evolution of the energy density of the scalar field, which determines the rate at which the scalar field is being diluted. We find polynomial decay of the energy density of the scalar field, and use it to estimate the rate of dilution of the field in time. Our findings imply that the energy density of the scalar field decreases even five orders of magnitude in time scales smaller than a year. This implies that if a supermassive black hole is the Schwarzschild solution, then scalar field dark matter would be diluted extremely fast.
 Publication:

Journal of Cosmology and Astroparticle Physics
 Pub Date:
 June 2011
 DOI:
 10.1088/14757516/2011/06/029
 arXiv:
 arXiv:1008.0027
 Bibcode:
 2011JCAP...06..029C
 Keywords:

 Astrophysics  Cosmology and Extragalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 15 pages, 21 eps figures. Appendix added, accepted for publication in JCAP