Strings in Cosmology

  • Yisong Yang
Part of the Springer Monographs in Mathematics book series (SMM)


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 [86] 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.


Maximum Principle Einstein Equation Cosmic String Decay Estimate North Pole 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Yisong Yang
    • 1
  1. 1.Department of Applied Mathematics and PhysicsPolytechnic UniversityBrooklynUSA

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