Self-Similar Evaporation of a Rigidly-Rotating Cosmic String Loop

Abstract

The gravitational back-reaction on a certain type of rigidly-rotating cosmic string loop, first discovered by Allen, Casper and Ottewill, is studied at the level of the weak-field approximation. The near-field metric perturbations are calculated and used to construct the self-acceleration vector of the loop. Although the acceleration vector is divergent at the two kink points on the loop, its net effect on the trajectory over a single oscillation period turns out to be finite. The net back-reaction on the loop over a single period is calculated using a method due to Quashnock and Spergel, and is shown to induce a uniform shrinkage of the loop while preserving its original shape. The loop therefore evolves by self-similar evaporation.

41 pages, 5 figures. Accepted for publication in Classical and Quantum Gravity

References in corpus (1)

• Non-divergence of gravitational self-interactions for Goto-Nambu strings

Cited by in corpus (6)

• Stochastic gravitational wave background from smoothed cosmic string loops
• Gravitational smoothing of kinks on cosmic string loops
• Gravitational back-reaction near cosmic string kinks and cusps
• Gravitational backreaction on a cosmic string: Formalism
• Continuous self-similar evaporation of a rotating cosmic string loop
• Gravitational waveforms from the evaporating ACO cosmic string loop