Energy, momentum and angular momentum radiation from chiral cosmic string loops

Abstract

We derived expressions for energy, momentum and angular momentum losses due to gravitational and electromagnetic radiation from the closed superconducting chiral cosmic strings of arbitrary form. The expressions for corresponding radiation rates into the unit solid angle have the form of four-dimensional integrals. In the special case of piece-wise linear strings these formulas are reduced to sums over the kinks. We calculate numerically the total radiation rates for three examples of string loops in dependence of current along the string.