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

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

2010-03-30

arxiv.org/abs/1003.5790v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, 2 figures. Proceedings of the 12th Marcel Grossman Meeting on General Relativity, Paris, France, 12-18 July 2009.

Scientific paper

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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