Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres

Details Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres

2006-01-06

arxiv.org/abs/gr-qc/0601024v1

Class.Quant.Grav.23:1365-1380,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/23/4/017

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. Although the range of symmetries is restrictive, existing and new symmetry solutions with non-zero shear are derived. The range is then extended using the non-classical direct symmetry approach of Clarkson and Kruskal and so additional new solutions with non-zero shear are also presented. The kinematics and pressure, energy density, mass function of these solutions are determined.

Affiliated with

Also associated with

No associations

Rating

Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isotropy, shear, symmetry and exact solutions for relativistic fluid spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-110230