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  A Transport Equation Approach to Green Functions and Self-force Calculations

Wardell, B., & Ottewill, A. C. (2012). A Transport Equation Approach to Green Functions and Self-force Calculations. 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 (pp. 838-840). World Scientific.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-9D4B-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-5064-7
Genre: Conference Paper

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1003.0476 (Preprint), 214KB
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1003.0476
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File downloaded from arXiv at 2010-04-22 11:58
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 Creators:
Wardell, Barry1, Author              
Ottewill, Adrian C., Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: In a recent work, we presented the first application of the Poisson-Wiseman-Anderson method of `matched expansions' to compute the self-force acting on a point particle moving in a curved spacetime. The method employs two expansions for the Green function which are respectively valid in the `quasilocal' and `distant past' regimes, and which may be matched together within the normal neighbourhood. In this article, we introduce the method of matched expansions and discuss transport equation methods for the calculation of the Green function in the quasilocal region. These methods allow the Green function to be evaluated throughout the normal neighborhood and are also relevant to a broad range of problems from radiation reaction to quantum field theory in curved spacetime and quantum gravity.

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 Dates: 2010-03-012012
 Publication Status: Published in print
 Pages: 3 pages, 1 figure; to appear in the proceedings of the 12th Marcel Grossmann meeting on general relativity
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1003.0476
URI: http://arxiv.org/abs/1003.0476
DOI: 10.1142/9789814374552_0071
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Title: 12th Marcel Grossmann Meeting
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Title: The Twelfth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
Source Genre: Proceedings
 Creator(s):
Damour, Thibault, Editor
Jantzen, Robert T, Editor
Ruffini, Remo, Editor
Affiliations:
-
Publ. Info: World Scientific
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 838 - 840 Identifier: -