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Stable knotted strings
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DOI：10.1016/S0370-2693(97)00556-X.png)
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Abstract
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We solve the Cauchy problem for the relativistic closed string in Minkowski space M3+1, including the cases where the initial data has a knot like topology. We give the general conditions for the world sheet of a closed knotted string to be a time periodic surface. In the particular case of zero initial string velocity the period of the world sheet is proportional to half the length (l) of the initial string and a knotted string always collapses to a link for t = l/4. Relativistic closed strings are dynamically evolving or pulsating structures in spacetime, and knotted or unknotted like structures remain stable over time. The generation of arbitrary n-fold knots, starting with an initial simple link configuration with non zero velocity is possible. (C) 1997 Elsevier Science B.V.
Keywords:
string theory
theoretical high energy physics
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