2-Form Gravity of the Lorentzian Signature
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
We introduce a new spinorial, BF-like action for the Einstein gravity. This is a first, up to our knowledge, 2-form action which describes the real, Lorentzian gravity and uses only the self-dual connection. In the generic case, the corresponding classical canonical theory is equivalent to the Einstein-Ashtekar theory plus the reality conditions.
Keywords
Cite
@article{arxiv.gr-qc/9911121,
title = {2-Form Gravity of the Lorentzian Signature},
author = {Jerzy Lewandowski and Andrzej Okolow},
journal= {arXiv preprint arXiv:gr-qc/9911121},
year = {2010}
}