Da. Steer, Self-intersections and gravitational properties of chiral cosmic strings in Minkowski space - art. no. 083517, PHYS REV D, 6308(8), 2001, pp. 3517
Chiral cosmic strings are naturally produced at the end of D-term inflation
and they may have interesting cosmological consequences. As was first prov
ed by Carter and Peter, the equations of motion for chiral cosmic strings i
n Minkowski space are integrable (just as for Nambu-Goto strings). Their so
lutions are labeled by a function k(sigma -t) where t is time and sigma is
the invariant length along the string, and the constraints on k, which dete
rmines the charge an the string, are that 0 less than or equal tok(2)less t
han or equal to1. We review the origin of this parameter and also discuss s
ome general properties of such strings, which can be deduced from the equat
ions of motion. The metric around infinite chiral strings is then construct
ed in the weak-field limit, and studied as a function of k. We also conside
r the angular momentum of circular chiral loops, and extend previous work t
o consider the evolution and self-intersection properties of a more general
family of chiral cosmic string loops for which k(2)(sigma -t) is not const
ant.