Self-intersections and gravitational properties of chiral cosmic strings in Minkowski space

Abstract

Chiral cosmic strings are naturally produced at the end of D-term inflation and they may have interesting cosmological consequences. As was first proved by Carter and Peter, the equations of motion for chiral cosmic strings in Minkowski space are integrable (just as for Nambu-Goto strings). Their solutions 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 determines the charge on the string, are that $0\le k^2\le 1$. We review the origin of this parameter and also discuss some general properties of such strings which can be deduced from the equations of motion. The metric around infinite chiral strings is then constructed in the weak field limit, and studied as a function of $k$. We also consider the angular momentum of circular chiral loops, and extend previous work to 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 constant.

18 pages, 7 figures. Typos corrected and a reference added. Version to appear in PRD

References in corpus (6)

• Chiral Vortons and Cosmological Constraints on Particle Physics
• Dynamics and integrability property of the chiral string model
• Dynamics and properties of chiral cosmic strings in Minkowski space
• Cosmic String Current Stability
• Exotic spacetimes, superconducting strings with linear momentum, and (not quite) all that
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Cited by in corpus (7)

• Cosmic Structure Formation with Topological Defects
• Irreducible cosmic production of relic vortons
• Oscillation damping of chiral string loops
• Symplectic structure for elastic and chiral conducting cosmic string models
• Dynamics and Properties of Chiral Cosmic Strings
• Gravitational field and lensing of a circular chiral vorton
• Chiral Superconducting Strings and Nambu-Goto Strings in Arbitrary Dimensions