Shock waves in superconducting cosmic strings: growth of current

Abstract

Intrinsic equations of motion of superconducting cosmic string may admit solutions in the shock-wave form that implies discontinuity of the current term χ. The hypersurface of discontinuity propagates at finite velocity determined by finite increment Δχ=χ_+ -χ_-. The current increases χ_+>χ_- in stable shocks but transition between spacelike (χ>0) and timelike (χ<0) currents is impossible.

13 pages, 3 figures

References in corpus (6)

• The logarithmic equation of state for superconducting cosmic strings
• Kinky Vortons
• Coupled currents in cosmic strings
• Stability and the equation of state for kinky vortons
• Light superconducting strings in the Galaxy
• Shock waves in superconducting cosmic strings: instability to extrinsic perturbations

Cited by in corpus (6)

• Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear sigma-model
• Acoustics of tachyon Fermi gas
• Exact \textit{pp}-waves, (A)dS waves and Kundt spaces in the Abelian-Higgs model
• Shock waves in superconducting cosmic strings: instability to extrinsic perturbations
• Kink in superconducting cosmic string: exact solution
• Analytic theory of discontinuities in current-carrying cosmic strings