Gravitational Radiation Power Spectrum of GarfinkleVachaspati Cosmic String Loops
Abstract
We examine the power spectrum $P_n$ of the $n$th harmonic for GarfinkleVachaspati cosmic strings, which correspond to planar rectangular loops. While these loop tractories are selfintersecting, a slightly perturbed nonselfintersecting form of these trajectories has been suggested as a generic end state of cosmic string loop fragmentation. We find that $P_n$ scales as $n^{2} \ln n$, rather than the expected $n^{2}$ for kinkkink collisions. This result is demonstrated analytically for even $n$ in square loops and numerically for all other cases. At lowest order, the effect of loop decays is to further enhance $P_n$ at large $n$ relative to its value at small $n$. The consequences for relic stochastic background radiation along with the caveats pertaining to our results are discussed.
 Publication:

arXiv eprints
 Pub Date:
 June 2024
 DOI:
 10.48550/arXiv.2406.06743
 arXiv:
 arXiv:2406.06743
 Bibcode:
 2024arXiv240606743S
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics
 EPrint:
 11 pages, 7 figures