Strings in Cosmology
In this chapter we present a series of results concerning the existence of cosmic strings. Such solutions arise from the Einstein equations coupled with a suitable matter and gauge field system and lead to local concentration of energy and gravitational curvature, a structure relevant in the theory of galaxy formation in the early-time cosmology [321, 322]. In §10.1 we discuss some basic notions in the study of cosmic strings. In particular, we present the elegant solution of Comtet and Gibbons  of the harmonic map string equations. In §10.2–§10.6 we present a study of the existence of multiple strings arising from the self-dual Abelian Higgs theory. In §10.7 we consider non-Abelian strings arising from the Weinberg—Salam electroweak theory.
KeywordsMaximum Principle Einstein Equation Cosmic String Decay Estimate North Pole
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