2011/08/03 by Juan Barranco, Argelia Bernal, Juan Carlos Degollado +5 · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.84.083008
published as Phys. Rev. D 84, 083008 (2011) · 34 pages, 13 figures
arxiv created 2011/08/03 · arxiv updated 2012/08/01
Classical scalar fields have been proposed as possible candidates for the dark matter component of the universe. Given the fact that super-massive black holes seem to exist at the center of most galaxies, in order to be a viable candidate for the dark matter halo a scalar field configuration should be stable in the presence of a central black hole, or at least be able to survive for cosmological time-scales. In the present work we consider a scalar field as a test field on a Schwarzschild background, and study under which conditions one can obtain long-lived configurations. We present a detailed study of the Klein-Gordon equation in the Schwarzschild spacetime, both from an analytical and numerical point of view, and show that indeed there exist quasi-stationary solutions that can remain surrounding a black hole for large time-scales.