Focusing of timelike worldsheets in a theory of strings
High Energy Physics - Theory
2016-09-06 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9606166,
title = {Focusing of timelike worldsheets in a theory of strings},
author = {Sayan Kar},
journal= {arXiv preprint arXiv:hep-th/9606166},
year = {2016}
}
Comments
14 pages, RevTex, no figures, extended, to appear in Phys Rev D