Date of Award

2018

Document Type

Thesis

Degree Name

Bachelors

Department

Natural Sciences

First Advisor

Ruppeiner, George

Area of Concentration

Physics and Mathematics

Abstract

Black holes are some of the most interesting objects in the universe. They have the distinction of lying in the intersection of general relativity and quantum mechanics. There is currently no consensus on a non-perturbative theory of quantum gravity, but thermodynamics provides a model free way of studying black holes. In this thesis the thermodynamic nature of black holes is motivated and explored. The entropies of the Schwarzschild, Reissner-Nordstrom, Kerr, Kerr-Newman, and BTZ black holes are computed. It has been shown that the hessian of the entropy of a system can be viewed as a Riemannian metric, and that the Ricci curvature scalar carries information about the microscopic interactions and structure of the system. This so called Ruppeiner geometry is applied to Black Holes, and the Ricci scalar curvature of this geometry is found for the black holes mentioned earlier.

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