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  Effective source approach to self-force calculations

Vega, I., Wardell, B., & Diener, P. (2011). Effective source approach to self-force calculations. Classical and quantum gravity, 28(13): 134010.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-0701-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-0702-E
Genre: Conference Paper

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1101.2925 (Preprint), 419KB
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1101.2925
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File downloaded from arXiv at 2012-01-12 11:17
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 Creators:
Vega, Ian, Author
Wardell, Barry1, Author              
Diener, Peter, Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Numerical evaluation of the self-force on a point particle is made difficult by the use of delta functions as sources. Recent methods for self-force calculations avoid delta functions altogether, using instead a finite and extended "effective source" for a point particle. We provide a review of the general principles underlying this strategy, using the specific example of a scalar point charge moving in a black hole spacetime. We also report on two new developments: (i) the construction and evaluation of an effective source for a scalar charge moving along a generic orbit of an arbitrary spacetime, and (ii) the successful implementation of hyperboloidal slicing that significantly improves on previous treatments of boundary conditions used for effective-source-based self-force calculations. Finally, we identify some of the key issues related to the effective source approach that will need to be addressed by future work.

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 Dates: 2011-01-142011
 Publication Status: Published in print
 Pages: Invited review for NRDA/Capra 2010 (Theory Meets Data Analysis at Comparable and Extreme Mass Ratios), Perimeter Institute, June 2010, CQG special issue - 22 pages, 8 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1101.2925
DOI: 10.1088/0264-9381/28/13/134010
URI: http://arxiv.org/abs/1101.2925
 Degree: -

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Title: Theory Meets Data Analysis at Comparable and Extreme Mass Ratios Conference (NRDA/Capra 2010), Perimeter Institute for Theoretical Physics
Place of Event: Waterloo, Canada
Start-/End Date: 2010-06-20 - 2010-06-26

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 28 (13) Sequence Number: 134010 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1