The goal of this project is to develop a program that will compute the Klein Gordon equation for generic Black Holes through the program Mathematica. This program will be available on Utah State websites for public usage. This project focuses on an understanding of General Relativity and more concretely on theoretical aspects of Black Holes. Developing the program begins with computing the Laplace equation in flat space to understand what it means to have empty space without a Black Hole. The Klein Gordon equation for a Schwarzschild Black Hole is then solved to show what happens once a static, non-rotating Black Hole is added into empty space. The final portion of this project is solving the Klein Gordon equation for a non-static, rotating Kerr Black Hole and writing this equation in Mathematica. After completion, the program will be uploaded to the Utah State University website.
Smith, Brant, "Mathematica Program to Compute Klein Gordon Equation for Generic Black Holes" (2019). Physics Capstone Project. Paper 75.