The Generalised Raychaudhuri Equations : Examples
arXiv:gr-qc/9505001 · doi:10.1103/PhysRevD.53.2071
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.
8 pages (Revtex, Twocolumn format). Corrected(see section on string worldsheets), reorganised and shortened slightly
References in corpus (1)
Cited by in corpus (9)
- Covariant kinematics and gravitational bounce in Finsler space-times
- Resource Letter on geometrical results for Embeddings and Branes
- Focusing of geodesic congruences in an accelerated expanding Universe
- Planetoid strings : solutions and perturbations
- Generalised Raychaudhuri equations for strings in the presence of an antisymmetric tensor field
- Geometry of deformations of branes in warped backgrounds
- Asymptotic behavior of a matter filled universe with exotic topology
- Numerical Prediction of cusps or kinks in the Nambu-Goto dynamics
- Homothetic Congruences in General Relativity