Symmetries of the Energy-Momentum Tensor of Spherically Symmetric Lorentzian Manifolds

Details Symmetries of the Energy-Momentum Tensor of Spherically Symmetric Lorentzian Manifolds Symmetries of the Energy-Momentum Tensor of Spherically Symmetric Lorentzian Manifolds

2003-07-29

arxiv.org/abs/gr-qc/0307116v1

J.Math.Phys.44:5141-5158,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, no figure, Latex, accepted for publication in J. Math. Phys

Scientific paper

10.1063/1.1610779

Matter collineations of spherically Symmetric Lorentzian Manifolds are considered. These are investigated when the energy-momentum tensor is non-degenerate and also when it is degenerate. We have classified spacetimes admitting higher symmetries and spacetimes admitting SO(3) as the maximal isometry group. For the non-degenerate case, we obtain either {\it four}, {\it six}, {\it seven} or {\it ten} independent matter collineations in which {\it four} are isometries and the rest are proper. The results of the previous paper [1] are recovered as a special case. It is worth noting that we have also obtained two cases where the energy-momentum tensor is degenerate but the group of matter collineations is finite-dimensional, i.e. {\it four} or {\it ten}.

Affiliated with

Also associated with

No associations

Rating

Symmetries of the Energy-Momentum Tensor of Spherically Symmetric Lorentzian Manifolds 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 Symmetries of the Energy-Momentum Tensor of Spherically Symmetric Lorentzian Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetries of the Energy-Momentum Tensor of Spherically Symmetric Lorentzian Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-389