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  Are Time-Domain Self-Force Calculations Contaminated by Jost Solutions?

Jaramillo, J. L., Sopuerta, C. F., & Canizares, P. (2011). Are Time-Domain Self-Force Calculations Contaminated by Jost Solutions? Physical Review D, 83(6): 061503. doi:10.1103/PhysRevD.83.061503.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-08B1-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-08B2-9
Genre: Journal Article

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1101.2324 (Preprint), 428KB
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Jaramillo, Jose Luis1, Author              
Sopuerta, Carlos F., Author
Canizares, Priscilla, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: The calculation of the self force in the modeling of the gravitational-wave emission from extreme-mass-ratio binaries is a challenging task. Here we address the question of the possible emergence of a persistent spurious solution in time-domain schemes, referred to as a {\em Jost junk solution} in the literature, that may contaminate self force calculations. Previous studies suggested that Jost solutions are due to the use of zero initial data, which is inconsistent with the singular sources associated with the small object, described as a point mass. However, in this work we show that the specific origin is an inconsistency in the translation of the singular sources into jump conditions. More importantly, we identify the correct implementation of the sources at late times as the sufficient condition guaranteeing the absence of Jost junk solutions.

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 Dates: 2011-01-122011-05-022011
 Publication Status: Published in print
 Pages: RevTeX. 5 pages, 2 figures. Version updated to match the contents of the published article
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 Identifiers: arXiv: 1101.2324
DOI: 10.1103/PhysRevD.83.061503
URI: http://arxiv.org/abs/1101.2324
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 83 (6) Sequence Number: 061503 Start / End Page: - Identifier: -