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Conference Paper

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


Wardell,  Barry
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Casals, M., Dolan, S., Ottewill, A. C., & Wardell, B. (2012). Method of Matched Expansions & the Singularity Structure of the Green Function. In T. Damour, R. T. Jantzen, & R. Ruffini (Eds.), The Twelfth Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. Part B: Proceedings of the MG12 Meeting on General Relativity (pp. 844-847). Singapore [u.a.]: World Scientific.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-9D3F-D
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.