A maximally symmetric space with torsion

Details A maximally symmetric space with torsion A maximally symmetric space with torsion

Sep 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..763b&link_type=abstract

General Relativity and Gravitation, vol. 9, Sept. 1978, p. 763-771.

Mathematics

3

Astronomical Models, Relativity, Space-Time Functions, Symmetry, Torsion, Universe, Cosmology, Equations Of Motion, Singularity (Mathematics), Vorticity

Scientific paper

It is shown that a homogeneous and isotropic universe possessing totally antisymmetric torsion is possible and that the equation of motion in this case leads to predictions which parallel those of the Einstein case. The concept of a symmetric space is considered which allows the space to be endowed with torsion, and a three-dimensional space that is homogeneous and isotropic at every point is defined in which the totally antisymmetric torsion is required to be form invariant on a manifold that has the maximum number of linearly independent Killing vectors. A full spacetime metric for a four-dimensional space that is split up into a family of three-dimensional maximally symmetric hypersurfaces orthogonal to the timelike congruence is derived which leads to a closed universe and is identical to the Robertson-Walker metric of Einstein relativity. An equation of motion is obtained for which the behavior of the universe is cyclic and similar to that predicted in the case of zero torsion.

Affiliated with

Also associated with

No associations

Rating

A maximally symmetric space with torsion 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 A maximally symmetric space with torsion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A maximally symmetric space with torsion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-941463