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Utah State University

Physics Capstone Projects

Black holes

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Mathematica Program To Compute Klein Gordon Equation For Generic Black Holes, Brant Smith Apr 2019

Mathematica Program To Compute Klein Gordon Equation For Generic Black Holes, Brant Smith

Physics Capstone Projects

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 …


Thermodynamic Properties Of Black Holes, Geoffrey Schulthess Apr 2019

Thermodynamic Properties Of Black Holes, Geoffrey Schulthess

Physics Capstone Projects

Black Holes are some of the most mysterious objects in the known universe. In 1975, Stephen Hawking stated that Black Holes can behave as thermodynamical objects with a finite mass, spin, angular velocity, temperature, and entropy. This has been one of the most fascinating yet perplexing breakthroughs in our understanding of these strongly gravitating objects. In this context, the purpose of this research was to use Wolfram Mathematica to create a program that would calculate the thermodynamic properties of a black hole, given a certain metric.