Faddeev formulation of gravity in discrete form

Details Faddeev formulation of gravity in discrete form Faddeev formulation of gravity in discrete form

2012-01-04

arxiv.org/abs/1201.0808v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages

Scientific paper

We study Faddeev formulation of gravity, in which the metric is composed of vector fields. We consider these fields constant in the interior of the 4-simplices of a simplicial complex. The action depends not only on the values of the fields in the interior of the 4-simplices but on the details of (regularized) jump of the fields between the 4-simplices. Though, when the fields vary arbitrarily slowly from the 4-simplex to 4-simplex, the latter dependence is negligible (of the next-to-leading order of magnitude). We put the earlier proposed in our work first order (connection) representation of the Faddeev action into the discrete form. We show that upon excluding the connections it is consistent with the above Faddeev action on the piecewise constant fields in the leading order of magnitude. Thus, using the discrete form of the connection representation of the Faddeev action can serve a way to fix the value of this action on the piecewise constant ansatz on simplices.

Affiliated with

Also associated with

No associations

Rating

Faddeev formulation of gravity in discrete form 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 Faddeev formulation of gravity in discrete form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Faddeev formulation of gravity in discrete form will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156182