A Boltzmann treatment for the vorton excess problem

Abstract

We derive and solve a Boltzmann equation governing the cosmological evolution of the number density of current carrying cosmic string loops, whose centrifugally supported equilibrium configurations are also referred to as vortons. The phase space is three-dimensional and consists of the time variable, the loop size, and a conserved quantum number. Our approach includes gravitational wave emission, a possibly finite lifetime for the vortons and works with any initial loop distribution and for any loop production function. We then show how our results generalize previous approaches on the vorton excess problem by tracking down the time evolution of the various sub-populations of current-carrying loops in a string network.

19 pages, 2 figures, uses jcappub. References added, matches published version

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Cited by in corpus (13)

• A Critical Review of Classical Bouncing Cosmologies
• The number of cosmic string loops
• Stochastic gravitational waves from cosmic string loops in scaling
• Particle emission and gravitational radiation from cosmic strings: observational constraints
• Cosmic string loop production functions
• Large scale CMB anomalies from thawing cosmic strings
• A window for cosmic strings
• Irreducible cosmic production of relic vortons
• Quantum current dissipation in superconducting strings and vortons
• Stochastic gravitational waves from long cosmic strings
• Can Superconducting Cosmic Strings Piercing Seed Black Holes Generate Supermassive Black Holes in the Early Universe?
• Stable cosmic vortons in bosonic field theory
• Current induction and macroscopic forces for superconducting strings