1212.6426 (Alan R. Parry)

Spherically Symmetric Static States of Wave Dark Matter    [PDF]

Alan R. Parry

We explore spherically symmetric solutions to the Einstein-Klein-Gordon equations, the defining equations of wave dark matter, where the scalar field is of the form f(t,r) = exp(i\omega t)F(r) for some constant \omega\ in R and complex-valued function F(r). We show that the corresponding metric is static if and only if F(r) = h(r)exp(ia) for some constant a in R and real-valued function h(r). We describe the behavior of the resulting solutions, which are called spherically symmetric static states. We also describe how, in the low field limit, the parameters defining these static states are related and show that these relationships imply important properties of the static states.

View original: http://arxiv.org/abs/1212.6426