Towards complete integrability of two dimensional Poincaré gauge gravity

Details Towards complete integrability of two dimensional Poincaré gauge gravity Towards complete integrability of two dimensional Poincaré gauge gravity

1993-04-10

arxiv.org/abs/hep-th/9304043v1

Phys.Rev. D48 (1993) 3648-3662

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, report Cologne-thp-1993-H6

Scientific paper

10.1103/PhysRevD.48.3648

It is shown that gravity on the line can be described by the two dimensional (2D) Hilbert-Einstein Lagrangian supplemented by a kinetic term for the coframe and a translational {\it boundary} term. The resulting model is equivalent to a Yang-Mills theory of local {\it translations} and frozen Lorentz gauge degrees. We will show that this restricted Poincar\'e gauge model in 2 dimensions is completely integrable. {\it Exact} wave, charged black hole, and `dilaton' solutions are then readily found. In vacuum, the integrability of the {\it general} 2D Poincar\'e gauge theory is formally proved along the same line of reasoning.

Affiliated with

Also associated with

No associations

Rating

Towards complete integrability of two dimensional Poincaré gauge gravity 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 Towards complete integrability of two dimensional Poincaré gauge gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards complete integrability of two dimensional Poincaré gauge gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122392