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ID: 403051.0, MPI für Gravitationsphysik / Observational Relativity and Cosmology
Closed-form expression for the momentum radiated from cosmic string loops
Authors:Allen, Bruce; Casper, Paul; Ottewill, Adrian C.
Date of Publication (YYYY-MM-DD):1995-02-15
Title of Journal:Physical Review D
Volume:51
Issue / Number:4
Start Page:1546
End Page:1552
Review Status:not specified
Audience:Not Specified
Abstract / Description:We modify the recent analytic formula given by Allen and Casper for the rate at which piecewise linear cosmic string loops lose energy to gravitational radiation to yield the analogous analytic formula for the rate at which loops radiate momentum. The resulting formula (which is exact when the effects of gravitational back reaction are neglected) is a sum of O(N4) polynomial and log terms where N is the total number of segments on the piecewise linear string loop. As an illustration, we write the formula explicitly for a simple one-parameter family of loops with N=5. For most loops the large number of terms makes evaluation ‘‘by hand’’ impractical, but a computer or symbolic manipulator may be used to yield accurate results. The formula has been used to correct numerical results given in the existing literature. To assist future work in this area, a small catalog of results for a number of simple string loops is provided.
External Publication Status:published
Document Type:Article
Communicated by:Bruce Allen
Affiliations:MPI für Gravitationsphysik/Teilinstitut Hannover
MPI für Gravitationsphysik/Observational Relativity and Cosmology
External Affiliations:Department of Physics, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201
Identifiers:ISSN:0556-2821
DOI:10.1103/PhysRevD.51.1546
URL:http://link.aps.org/doi/10.1103/PhysRevD.51.1546
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