Towards complete integrability of two dimensional Poincaré gauge gravity
Preprint
- 11 April 1993
Abstract
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.Keywords
All Related Versions
- Version 1, 1993-04-11, ArXiv
- Published version: Physical Review D, 48 (8), 3648.
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