On a Class of Riemann-Cartan Space-times of Gödel Type

Details On a Class of Riemann-Cartan Space-times of Gödel Type On a Class of Riemann-Cartan Space-times of Gödel Type

1998-07-15

arxiv.org/abs/gr-qc/9807032v1

Gen.Rel.Grav. 30 (1998) 1301-1317

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, LaTex files, to appear in Gen. Rel. Grav. (1998)

Scientific paper

A class of Riemann-Cartan G\"odel-type space-times is examined by using the equivalence problem techniques, as formulated by Fonseca-Neto et al. and embodied in a suite of computer algebra programs called TCLASSI. A coordinate-invariant description of the gravitational field for this class of space-times is presented. It is also shown that these space-times can admit a group $G_{r}$ of affine-isometric motions of dimensions $r=2, 4, 5$. The necessary and sufficient conditions for space-time (ST) homogeneity of this class of space-times are derived, extending previous works on G\"odel-type space-times. The equivalence of space-times in the ST homogeneous subclass is studied, recovering recent results under different premises. The results of the limiting Riemannian case are also recovered.

Affiliated with

Also associated with

No associations

Rating

On a Class of Riemann-Cartan Space-times of Gödel Type 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 On a Class of Riemann-Cartan Space-times of Gödel Type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a Class of Riemann-Cartan Space-times of Gödel Type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-7411