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arXiv · gr-qc/9911121

2-Form Gravity of the Lorentzian Signature

Jerzy Lewandowski·Andrzej Okolow
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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.

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Jerzy Lewandowski, Andrzej Okolow. 1999-11-30. 2-Form Gravity of the Lorentzian Signature. https://doi.org/10.1088/0264-9381%2F17%2F3%2F101

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