Analytic theory of discontinuities in current-carrying cosmic strings

Abstract

We formulate an analytic method to study the discontinuities in superconducting cosmic strings. Equations of discontinuities and conditions of their existence are derived from the intrinsic and extrinsic equations of motion. It is the fundamental for research of particular solutions, associated with kinks, cusps and shocks.

12 pages, no figures

References in corpus (5)

• Gravitational-Wave Stochastic Background from Kinks and Cusps on Cosmic Strings
• Kinks and small-scale structure on cosmic strings
• Shape of Cosmic String Loops
• Kinks, extra dimensions, and gravitational waves
• Shock waves in superconducting cosmic strings: growth of current