ar X iv : h ep - t h / 03 04 14 6 v 1 1 6 A pr 2 00 3 Knotlike Cosmic Strings in The Early Universe

In this paper, the knotlike cosmic strings in the early universe are discussed. We derive the cosmic string structures from the non-zero torsion tensor, and reveal that these strings are just created from the zero points of complex scalar quintessence field. In these strings we mainly study the knotlike configurations, and have constructed a new topological invariant for them. It is also shown that this invariant is just the total sum of all the self-linking and all the linking numbers of the knotlike strings family, and that this invariant is preserved in the branch processes during the evolution of cosmic strings. PACS number(s): 98.80.Cq, 02.40.-k, 11.15.-q Typeset using REVTEX ∗Corresponding author. Electronic address: [email protected] 1