Towards complete integrability of two dimensional Poincaré gauge gravity
arXiv:hep-th/9304043 · doi: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 {\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 Poincaré 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 Poincaré gauge theory is formally proved along the same line of reasoning.
35 pages, report Cologne-thp-1993-H6
References in corpus (8)
- Evanescent Black Holes
- Gauge Invariant Formulations of Lineal Gravity
- The Physics of 2-d Stringy Spacetimes
- Poincaré Gauge Theory for Gravitational Forces in (1+1) Dimensions
- Gauge Theories for Gravity on a Line
- Avoiding degenerate coframes in an affine gauge approach to quantum gravity
- Hamiltonian Approach to 2D Dilaton-Gravities and Invariant Adm Mass
- Improved Energy-Momentum Currents in Metric-Affine Spacetime
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