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ID: 403021.0, MPI für Gravitationsphysik / Observational Relativity and Cosmology
Closed-form expression for the gravitational radiation rate from cosmic strings
Authors:Allen, Bruce; Casper, Paul
Date of Publication (YYYY-MM-DD):1994-08-15
Title of Journal:Physical Review D
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 piecewise-linear 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 piecewise-linear 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 four-dimensional 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 Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201
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