Computer Science – Numerical Analysis
Scientific paper
Mar 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.1898a&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 6, 15 March 1992, pp.1898-1912
Computer Science
Numerical Analysis
44
Origin And Formation Of The Universe
Scientific paper
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= tsum Pn. 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.
Allen Ben
Shellard P. S. E.
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