Relativistic elastodynamics of self-gravitating foliations

Mukherjee, M. and Tucker, Robin (1988) Relativistic elastodynamics of self-gravitating foliations. Classical and Quantum Gravity, 5 (6). pp. 849-860. ISSN 0264-9381

Abstract

Smooth distributions of self-gravitating strings and membranes are modelled by foliating chains. A stress tensor is devised that ensures each leaf is an extremal immersion in a spacetime metric determined self-consistently from Einstein's equations. Cosmological solutions are described leading to anisotropies that offer a mechanism of dynamical dimensional reduction.