Date of Graduation
7-2020
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Physics (PhD)
Degree Level
Graduate
Department
Physics
Advisor/Mentor
Daniel Kennefick
Committee Member
Bret Lehmer
Second Committee Member
William Oliver III
Third Committee Member
Yo'av Rieck
Keywords
Christodoulou Memory, Darboux Transformation, EMRI, Extreme Mass Ratio Inspiral, Gravitational Waves, Nonlinear Memory
Abstract
We begin with a brief introduction to gravitational waves. Next we look into the origin of the Chandrasekhar transformations between the different equations found by perturbing a Schwarzschild black hole. Some of the relationships turn out to be Darboux transformations. Then we turn to GW150914, the first detected black hole binary system, to see if the nonlinear memory might be detectable by current and future detectors. Finally, we develop an updated code for computing equatorial extreme mass ratio inspirals which will be open sourced as soon as it has been generalized for arbitrary inclinations.
Citation
Johnson, A. D. (2020). Topics in Gravitational Wave Physics. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/3733
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