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

2010/03/30 by Marc Casals, Casals, Marc, Sam Dolan +6
Engineering · Physics and Astronomy · #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Radiative Heat Transfer Studies #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1003.5790

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

arxiv created 2010/03/30 · openalex publication_date 2010/03/30 · arxiv updated 2010/03/31 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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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