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Abstract

A cosmic-string network in an expanding universe evolves by losing energy to loops which in turn oscillate and emit gravitational radiation. The power radiated at a frequency corresponding to the nth fundamental mode of oscillation of the loop is characterized by a dimensionless constant Pn, with the total power radiated being proportional to γ=ΣPn. Previously, these constants were estimated by analytic or numerical analysis in idealized situations, generally for simple loop shapes. Here, we determine these constants more realistically, for loops produced in a numerical simulation of the cosmic-string network. The resulting numerical values of the Pn appear to show a linear dependence on loop size, indicating that small-scale structure on the loops is very important in determining the overall radiation power. Long-string radiation is also studied, confirming this conclusion. The power radiated by a horizon-length string increases with time, because in the current simulations the small-scale structure on the string does not yet scale relative to the horizon length. With an appropriate extrapolation one can conclude that gravitational radiation from the long-string network will provide a significant energy-loss mechanism and may occur at a rate roughly comparable to energy loss due to loop formation.