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arXiv · 1003.5790

Method of Matched Expansions & the Singularity Structure of the Green Function

Marc Casals·Sam Dolan·Adrian C. Ottewill·Barry Wardell
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Abstract

We present the first successful application of the method of Matched Expansions for the calculation of the self-force on a point particle in a curved spacetime. We investigate the case of a scalar charge in the Nariai spacetime, which serves as a toy model for a point mass moving in the Schwarzschild black hole background. We discuss the singularity structure of the Green function beyond the normal neighbourhood and the interesting effect of caustics on null wave propagation.

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Marc Casals, Sam Dolan, Adrian C. Ottewill, Barry Wardell. 2010-03-30. Method of Matched Expansions & the Singularity Structure of the Green Function. https://arxiv.org/abs/1003.5790

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