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
- 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