Geodesic incompleteness in the CP^1 model on a compact Riemann surface

Details Geodesic incompleteness in the CP^1 model on a compact Riemann surface Geodesic incompleteness in the CP^1 model on a compact Riemann surface

1997-07-18

arxiv.org/abs/hep-th/9707169v1

Lett.Math.Phys. 43 (1998) 329-334

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, Latex, no figures

Scientific paper

It is proved that the moduli space of static solutions of the CP^1 model on
spacetime Sigma x R, where Sigma is any compact Riemann surface, is
geodesically incomplete with respect to the metric induced by the kinetic
energy functional. The geodesic approximation predicts, therefore, that lumps
can collapse and form singularities in finite time in these models.

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