GT6 - Exact Solutions (mathematical aspects) |
Speaker_ |
Wiltshire, Ron |
Talk _ |
Exact solutions for relativistic fluid spheres with non-zero shear |
Abstract _ |
The symmetry method is used to derive solutions of Einstein's equations for fluid spheres using an isotropic metric and a velocity four vector that is non-comoving. Initially the Lie, classical approach is used to review and provide a connecting framework for many comoving and so shear free solutions. This provides the basis for the derivation of the classical point symmetries for the more general and mathematicaly less tractable description of Einstein's equations in the non-comoving frame. New symmetry solutions with non-zero shear are derived and these are extended using a non-classical symmetry approach. The kinematics and physical properties of these solutions are determined. |