Incorporation of Spacetime Symmetries in Einstein's Field Equations

Details Incorporation of Spacetime Symmetries in Einstein's Field Equations Incorporation of Spacetime Symmetries in Einstein's Field Equations

1997-10-21

arxiv.org/abs/gr-qc/9710103v1

J.Math.Phys. 38 (1997) 5854-5877

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

41 pages, LaTeX

Scientific paper

10.1063/1.532170

In the search for exact solutions to Einstein's field equations the main simplification tool is the introduction of spacetime symmetries. Motivated by this fact we develop a method to write the field equations for general matter in a form that fully incorporates the character of the symmetry. The method is being expressed in a covariant formalism using the framework of a double congruence. The basic notion on which it is based is that of the geometrisation of a general symmetry. As a special application of our general method we consider the case of a spacelike conformal Killing vector field on the spacetime manifold regarding special types of matter fields. New perspectives in General Relativity are discussed.

Affiliated with

Also associated with

No associations

Rating

Incorporation of Spacetime Symmetries in Einstein's Field Equations 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 Incorporation of Spacetime Symmetries in Einstein's Field Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Incorporation of Spacetime Symmetries in Einstein's Field Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615024