The solutions of the cosmic string loop equation in an expanding universe

Physics

Scientific paper

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Scientific paper

The cosmic string loop equation is studied analytically during the radiation-dominated era in the Robertson-Walker universe. If the loops expand with the Hubble flow at the time of formation of the loops, the cosmic string loops occur always collapsing. We also discuss the initial radii Rs(t*) dependence of the lifetime τs without considering oscillations, as a first approximation, where t* denotes the time formation of the loops. We find that the lifetime factor γ=cτs/Rs(t*) is π/2 in the limit of small initial radius.

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