Cosmic strings and other topological defects in nonscaling regimes

Abstract

Cosmic strings are topological defects possibly formed in the early Universe, which may be observable due to their gravitational effects on the cosmic microwave background radiation or gravitational wave experiments. To this effect it is important to quantitatively ascertain the network properties, including their density, velocity or the number of strings present, at the various epochs in the observable Universe. Attempts to estimate these numbers often rely on simplistic approximations for the string parameters, such as assuming that the network is scaling. However, in cosmological models containing realistic amounts of radiation, matter and dark energy a string network is never exactly scaling. Here we use the velocity-dependent one-scale model for the evolution of a string network to better quantify how these networks evolve. In particular we obtain new approximate analytic solutions for the behavior of the network during the radiation-to-matter and matter-to-acceleration transitions (assuming, in the latter case, the canonical $\Lambda$ cold dark matter model), and numerically calculate the relevant quantities for a range of possible dark energy models.

arXiv comment10 pages, 5 figures

References in corpus (26)

• Planck 2015 results. XIII. Cosmological parameters
• Cosmic String Production Towards the End of Brane Inflation
• Cosmic F- and D-strings
• Gravitational radiation from cosmic (super)strings: bursts, stochastic background, and observational windows
• Gravitational wave bursts from cosmic strings
• How generic is cosmic string formation in SUSY GUTs
• Cosmological Backgrounds of Gravitational Waves and eLISA/NGO: Phase Transitions, Cosmic Strings and Other Sources
• Planck 2013 results. XXV. Searches for cosmic strings and other topological defects
• Gravitational wave stochastic background from cosmic (super)strings
• Quantitative String Evolution
• Extending the Velocity-dependent One-scale String Evolution Model
• Gravitational-Wave Stochastic Background from Kinks and Cusps on Cosmic Strings
• Large parallel cosmic string simulations: New results on loop production
• PRISM (Polarized Radiation Imaging and Spectroscopy Mission): An Extended White Paper
• On the Evolution of Abelian-Higgs String Networks
• Evolution of cosmic string configurations
• CMB constraints on cosmic strings and superstrings
• New CMB constraints for Abelian Higgs cosmic strings
• COBE vs Cosmic Strings: An Analytical Model
• Extending the velocity-dependent one-scale model for domain walls
• Unified model for vortex-string network evolution
• Large Angle CMB Fluctuations from Cosmic Strings with a Comological Constant
• Constraints on the Nambu-Goto cosmic string contribution to the CMB power spectrum in light of new temperature and polarisation data
• Large scale CMB anomalies from thawing cosmic strings
• Physical and invariant models for defect network evolution
• On the Number of Cosmic Strings

Cited by in corpus (7)

• Effect of the cosmological constant on the deflection angle by a rotating cosmic string
• Kinklike structures in models of the Dirac-Born-Infeld type
• Scaling solutions of wiggly cosmic strings
• Evolution of Semilocal String Networks: II. Velocity estimators
• Scalar field models driven by Dirac-Born-Infeld dynamics and their relatives
• Dark matter cosmic string in the gravitational field of a black hole
• Kinklike structures in an arcsin real scalar dynamics