Runge-Kutta Solutions for Monopoles on Curved Spaces

Student Presenter(s): Devin Alvarez, Beza Nigatu, and Chin Ho Kua
Faculty Mentor: Sophia Domokos
School/College: Engineering and Computing Sciences, Manhattan

We present numerical solutions for “magnetic monopole” objects on conically curved spaces. Magnetic monopoles are hypothetical particles that have nonzero net magnetic charge and are relevant to various systems in string theory. We modeled these objects as two coupled differential equations and used computational techniques to find numerical solutions. In this talk, we describe our solutions as well as the numerical techniques used, including the Fourth Order Runge-Kutta algorithm.