Conserved currents for general teleparallel models

Details Conserved currents for general teleparallel models Conserved currents for general teleparallel models

2001-03-06

arxiv.org/abs/gr-qc/0103017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 3 figures

Scientific paper

10.1142/S0217751X02011928

The obstruction for the existence of an energy momentum tensor for the gravitational field is connected with differential-geometric features of the Riemannian manifold. It has not to be valid for alternative geometrical structures. In this article a general 3-parameter class of teleparallel models is considered. The field equation turns out to have a form completely similar to the Maxwell field equation $d*\F^a=\T^a$. By applying the Noether procedure, the source 3-form $\T^a$ is shown to be connected with the diffeomorphism invariance of the Lagrangian. Thus the source of the coframe field is interpreted as the total conserved energy-momentum current of the system. A reduction of the conserved current to the Noether current and the Noether charge for the coframe field is provided. An energy-momentum tensor for the coframe field is defined in a diffeomorphism invariant and a translational covariant way. The total energy-momentum current of a system is conserved. Thus a redistribution of the energy-momentum current between material and coframe (gravity) field is possible in principle, unlike as in GR. The energy-momentum tensor is calculated for various teleparallel models: the pure Yang-Mills type model, the anti-Yang-Mills type model and the generalized teleparallel equivalent of GR. The latter case can serve as a very close alternative to the GR description of gravity.

Affiliated with

Also associated with

No associations

Rating

Conserved currents for general teleparallel models 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 Conserved currents for general teleparallel models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conserved currents for general teleparallel models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-431370