2-form gravity of the Lorentzian signature
2-form gravity of the Lorentzian signature
We introduce a new spinorial, BF-like canonical theory for the Einstein gravity. This is the first, to the best of our knowledge, 2-form canonical approach which describes real, Lorentzian gravity and uses only the self-dual connection. In the generic case, the classical theory is equivalent to the Einstein-Ashtekar theory plus …