The Generalised Raychaudhuri Equations : Examples
General Relativity and Quantum Cosmology
2009-10-28 v2
Abstract
Specific examples of the generalized Raychaudhuri Equations for the evolution of deformations along families of dimensional surfaces embedded in a background dimensional spacetime are discussed. These include string worldsheets embedded in four dimensional spacetimes and two dimensional timelike hypersurfaces in a three dimensional curved background. The issue of focussing of families of surfaces is introduced and analysed in some detail.
Cite
@article{arxiv.gr-qc/9505001,
title = {The Generalised Raychaudhuri Equations : Examples},
author = {Sayan Kar},
journal= {arXiv preprint arXiv:gr-qc/9505001},
year = {2009}
}
Comments
8 pages (Revtex, Twocolumn format). Corrected(see section on string worldsheets), reorganised and shortened slightly