Dynamical Stability of Witten Rings

Abstract

The dynamical stability of cosmic rings, or vortons, is investigated for the particular equation of state given by the Witten bosonic model. It is found that there exists a finite range of the state parameter for which the vorton states are actually stable against dynamical perturbations. Inclusion of the electromagnetic self action into the equation of state slightly shrinks the stability region but otherwise yields no qualitative difference. If the Witten bosonic model represents a good approximation for more realistic string models, then the cosmological vorton excess problem can only be solved by assuming either that strings are formed at low energy scales or that some quantum instability may develop at a sufficient rate.

11 pages, LaTeX-ReVTeX (v.3), 2 figures available upon request, DAMTP R-94/19

References in corpus (4)

• Dynamical instability criterion for circular (vorton) string loops
• Mechanics of cosmic rings
• Spontaneous Current Generation in Cosmic Strings
• Cold, warm, and composite (cool) cosmic string models

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• Equation of state of cosmic strings with fermionic current-carriers
• Dissipating Cosmic Vortons and Baryogenesis
• Fermionic massive modes along cosmic strings
• The logarithmic equation of state for superconducting cosmic strings
• A Boltzmann treatment for the vorton excess problem
• Charge-velocity-dependent one-scale linear model
• SURFACE CURRENT-CARRYING DOMAIN WALLS
• Could Electromagnetic Corrections Solve The Vorton Excess Problem ?
• UHECR as Decay Products of Heavy Relics? The Lifetime Problem
• Cosmological evolution of Witten superconducting string networks
• Recent developments in Vorton Theory
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• Current induction and macroscopic forces for superconducting strings
• Gravitational Wave Mountains: current-carrying domain walls