Spherically Symmetric Static States of Wave Dark Matter
Abstract
In this paper, we present two observations about static spherically symmetric solutions of the Einstein-Klein-Gordon equations. The first is a comment extending the well-known result of the existence of static states (i.e. standing wave solutions) of the Einstein-Klein-Gordon equations. The second more important observation shows that, in the low field limit, the mass profiles of these static states lie along hyperbolas of constant , the fundamental constant of the Einstein-Klein-Gordon equations.
Keywords
Cite
@article{arxiv.1212.6426,
title = {Spherically Symmetric Static States of Wave Dark Matter},
author = {Alan R. Parry},
journal= {arXiv preprint arXiv:1212.6426},
year = {2015}
}
Comments
12 pages, 4 figures, 1 table. This update has been made more concise with much of the preliminary work now simply cited in my thesis. The resulting extra room allowed me to flesh out the details of the static state scaling relations. This shorter version better highlights the important results, but the results themselves remain unchanged