Date of Award
6-2024
Degree Name
Master of Arts
Department
Mathematics
First Advisor
David Richter, Ph.D.
Second Advisor
Yuri Ledyaev, Ph.D.
Third Advisor
Elena Litvinova, Ph.D.
Fourth Advisor
Clifton E. Ealy, Ph.D.
Keywords
Geodesic equations, Kerr solutions, manifolds, ricci curvature, Schwarzschild solutions, tensors
Access Setting
Masters Thesis-Open Access
Abstract
The General Theory of Relativity, formulated by the brilliant mind of Albert Einstein, stands as one of the most fundamental and revolutionary pillars of modern physics. This elegant theory of gravity not only offers a comprehensive explanation of the workings of the universe on a large scale, but it has also paved the way for groundbreaking advancements in the field of mathematics. This thesis begins by providing a concise overview of the key mathematical principles that are crucial to understanding Einstein’s theory. These principles form the basis for deriving the field equations that Einstein introduced. From there, these equations are expertly applied to explore solutions related to uncharged black holes, such as Schwarzschild and Kerr solutions, along with their corresponding geodesic equations.
Recommended Citation
Mahat, Yogesh, "Einstein Field Equations and the Solutions for Uncharged Black Holes" (2024). Masters Theses. 5423.
https://scholarworks.wmich.edu/masters_theses/5423