The sine-Gordon equation and its application to black holes
University of New Brunswick
Linear and nonlinear wave equations are important in various aspects of mathematics and physics, including the study of black holes. After a brief survey of the sine-Gordon equation (SGE), this report presents a fourth-order numerical approximation scheme for solving equations of this type. This is followed by a numerical investigation of SGE in the presence of the PoschlTeller potential. We close with a discussion of the application of this method to the study of black hole dynamics.