The sine-Gordon equation and its application to black holes
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Date
2015
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University of New Brunswick
Abstract
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.