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ID: 403059.0, MPI für Gravitationsphysik / Observational Relativity and Cosmology
Analytic results for the gravitational radiation from a class of cosmic string loops
Authors:Allen, Bruce; Casper, Paul; Ottewill, Adrian C.
Date of Publication (YYYY-MM-DD):1994-09-15
Title of Journal:Physical Review D
Volume:50
Issue / Number:6
Start Page:3703
End Page:3712
Review Status:not specified
Audience:Not Specified
Abstract / Description:Cosmic string loops are defined by a pair of periodic functions a and b, which trace out unit-length closed curves in three-dimensional space. We consider a particular class of loops, for which a lies along a line and b lies in the plane orthogonal to that line. For this class of cosmic string loops one may give a simple analytic expression for the power γ radiated in gravitational waves. We evaluate γ exactly in closed form for several special cases: (1) b a circle traversed M times; (2) b a regular polygon with N sides and interior vertex angle π-2πM/N; (3) b an isosceles triangle with semiangle θ. We prove that case (1) with M=1 is the absolute minimum of γ within our special class of loops, and identify all the stationary points of γ in this class.
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.50.3703
URL:http://link.aps.org/doi/10.1103/PhysRevD.50.3703
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