Cosmological Evolution of Global Monopoles

Abstract

We investigate the cosmological evolution of global monopoles in the radiation dominated (RD) and matter dominated (MD) universes by numerically solving field equations of scalar fields. It is shown that the global monopole network relaxes into the scaling regime, unlike the gauge monopole network. The number density of global monopoles is given by $n(t)\simeq (0.43\pm 0.07)/t^3$ during the RD era and $n(t)\simeq (0.25\pm 0.05)/t^3$ during the MD era. Thus, we have confirmed that density fluctuations produced by global monopoles become scale invariant and are given by $\delta \rho \sim 7.2(5.0){\sigma }^2/t^2$ during the RD (MD) era, where $\sigma$ is the breaking scale of the symmetry.

6 pages, 2 figures, to appear in Phys. Rev. D (R)

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• Lagrangian evolution of global strings
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• Scaling property and peculiar velocity of global monopoles
• A topologically charged four-dimensional wormhole and the energy conditions
• Bremsstrahlung in the gravitational field of a global monopole
• Implications of cosmic strings with time-varying tension on CMB and large scale structure
• Spinning Particle in Gravitational Field of Black Hole Involving Global Monopole
• Global monopoles in the two-Higgs-doublet-model
• Self-action in Gravity
• Higher-dimensional topologically charged traversable defect wormhole with non-exotic matter
• Effects of Cosmic Strings on Free Streaming
• Black Strings in Our World