Towards complete integrability of two-dimensional Poincaré gauge gravity
- 15 October 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 48 (8) , 3648-3662
- https://doi.org/10.1103/physrevd.48.3648
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 boundary term. The resulting model is equivalent to a Yang-Mills theory of local translations and frozen Lorentz gauge degrees. We will show that this restricted Poincaré gauge model in two dimensions is completely integrable. Exact wave, charged black hole, and "dilation" solutions are then readily found. In vacuum, the integrability of the general 2D Poincaré gauge theory is formally proved along the same line of reasoning.Keywords
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