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SCALAR FIELD DARK MATTER ENCASING A SUPER MASSIVE BLACK HOLE

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abstract
This is a survey of various results in a model for dark matter called scalar field dark matter, which is expressed in terms of the Einstein-Klein-Gordon system. The low field limit of this system is derived in terms of a spherical symmetry and the result is found to be the Schrödinger-Poisson system. An analysis of the Schrödinger-Poisson system is undertaken with a goal of finding a solution in terms of spherical harmonics. Further work is done to apply a $1/r$ like potential to the system in order to model a scalar field of dark matter around a black hole. After undergoing a perturbation expansion, a zeroth order solution has been completed and further analysis on the first order equation is underway.
subject
Schrödinger-Poisson
Dark matter
Einstein-Klein-Gordon
Fuzzy dark matter
Scalar field
Wave dark matter
contributor
Dulaney, William Arthur (author)
Raynor, Sarah G (committee chair)
Bourdon, Abbey (committee member)
date
2021-06-03T08:36:06Z (accessioned)
2021-06-03T08:36:06Z (available)
2021 (issued)
degree
Mathematics and Statistics (discipline)
identifier
http://hdl.handle.net/10339/98803 (uri)
language
en (iso)
publisher
Wake Forest University
title
SCALAR FIELD DARK MATTER ENCASING A SUPER MASSIVE BLACK HOLE
type
Thesis

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