


ID:
403021.0,
MPI für Gravitationsphysik / Observational Relativity and Cosmology 
Closedform expression for the gravitational radiation rate from cosmic strings 
Authors:  Allen, Bruce; Casper, Paul  Date of Publication (YYYYMMDD):  19940815  Title of Journal:  Physical Review D  Volume:  50  Issue / Number:  4  Start Page:  2496  End Page:  2518  Review Status:  not specified  Audience:  Not Specified  Abstract / Description:  We present a new formula for the rate at which cosmic strings lose energy into gravitational radiation, valid for all piecewiselinear loops of infinitely thin cosmic string. At any time, such a loop is composed of N straight segments, each of which has a constant velocity. Any cosmic string loop can be arbitrarily well approximated by a piecewiselinear loop with N sufficiently large. The formula is a sum of O(N4) polynomial and log terms, and is exact when the effects of gravitational back reaction are neglected. For a given loop, the large number of terms makes evaluation ‘‘by hand’’ impractical, but a computer or symbolic manipulator yields accurate results. The formula is more accurate and convenient than previous methods for finding the gravitational radiation rate, which require numerical evaluation of a fourdimensional integral for each term in an infinite sum. It also avoids the need to estimate the contribution from the tail of the infinite sum. The formula has been tested against all previously published radiation rates for different loop configurations. In the cases where discrepancies were found, they were due to numerical errors in the published work. We have isolated and corrected the errors in these cases. To assist future work in this area, a small catalog of results for some simple loop shapes 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 WisconsinMilwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201
 Identifiers:  ISSN:05562821 DOI:10.1103/PhysRevD.50.2496 URL:http://link.aps.org/doi/10.1103/PhysRevD.50.2496 
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