Focusing of timelike worldsheets in a theory of strings

Details Focusing of timelike worldsheets in a theory of strings Focusing of timelike worldsheets in a theory of strings

1996-06-25

arxiv.org/abs/hep-th/9606166v2

Phys.Rev. D55 (1997) 7921-7925

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, RevTex, no figures, extended, to appear in Phys Rev D

Scientific paper

10.1103/PhysRevD.55.7921

An analysis of the generalised Raychaudhuri equations for string world sheets is shown to lead to the notion of focusing of timelike worldsheets in the classical Nambu-Goto theory of strings. The conditions under which such effects can occur are obtained . Explicit solutions as well as the Cauchy initial value problem are discussed. The results closely resemble their counterparts in the theory of point particles which were obtained in the context of the analysis of spacetime singularities in General Relativity many years ago.

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