Solitary waves on a curved space-time |
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Authors: | Helmut J Efinger |
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Institution: | 1. Department of Mathematics, University of Salzburg, Austria
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Abstract: | A nonlinear partial differential equation is derived which admits plane solitary waves on a conformally flat Riemannian space-time. The metric is determined by the amplitude of these waves. By interpreting these solitary waves as particles we arrive at the following picture: these particles are confined to regions exhibiting singular (very large) amplitudes in an otherwise continuous wavetrain. There is, thus, no distinction between the notion of a particle and that of a wave. |
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