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 . The hypersurface of discontinuity propagates at finite velocity determined by finite increment =+ --. The current increases +>- in stable shocks but transition between spacelike ( >0) and timelike (<0) currents is impossible.
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