%0 Thesis %A JACKSON, DANIEL ROBERT %D 2019 %T A Numerical Exploration of the Spherically Symmetric SU(2) Einstein-Yang-Mills Equations %U https://bridges.monash.edu/articles/thesis/A_Numerical_Exploration_of_the_Spherically_Symmetric_SU_2_Einstein-Yang-Mills_Equations/6292109 %R 10.4225/03/5b0268bb4b673 %2 https://bridges.monash.edu/ndownloader/files/14809367 %K General Relativity %K Yang-Mills %K self-similarity %K Numerical Solution of Differential and Integral Equations %K Mathematical Aspects of General Relativity %X The Einstein-Yang-Mills equations describe how a spacetime can curve when it contains a generalisation of an electromagnetic field known as a Yang-Mills field. This thesis develops an efficient numerical code to solve the equations and finds new self-similar behaviour that occurs as black holes are just on the cusp of forming, contributing to a better understanding of general relativity, Einstein’s theory of gravity. %I Monash University