Kinematics of deformable media
Classical Physics
2008-11-26 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
We investigate the kinematics of deformations in two and three dimensional media by explicitly solving (analytically) the evolution equations (Raychaudhuri equations) for the expansion, shear and rotation associated with the deformations. The analytical solutions allow us to study the dependence of the kinematical quantities on initial conditions. In particular, we are able to identify regions of the space of initial conditions that lead to a singularity in finite time. Some generic features of the deformations are also discussed in detail. We conclude by indicating the feasibility and utility of a similar exercise for fluid and geodesic flows in flat and curved spacetimes.
Cite
@article{arxiv.0709.0582,
title = {Kinematics of deformable media},
author = {Anirvan Dasgupta and Hemwati Nandan and Sayan Kar},
journal= {arXiv preprint arXiv:0709.0582},
year = {2008}
}
Comments
28 pages, 12 figures