Date of Graduation
Doctor of Philosophy in Physics (PhD)
Second Committee Member
William Oliver III
Third Committee Member
Christodoulou Memory, Darboux Transformation, EMRI, Extreme Mass Ratio Inspiral, Gravitational Waves, Nonlinear Memory
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.
Johnson, A. D. (2020). Topics in Gravitational Wave Physics. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/3733