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Plebanski gravity without the simplicity constraints | | Kirill Krasnov
; | | Date: |
19 Nov 2008 | | Abstract: | In Plebanski’s self-dual formulation general relativity becomes SO(3) BF
theory supplemented with the so-called simplicity (or metricity) constraints
for the B-field. The main dynamical equation of the theory states that the
curvature of the B-compatible SO(3) connection is self-dual, with the notion of
self-duality being defined by the B-field. We describe a theory obtained by
dropping the metricity constraints, keeping only the requirement that the
curvature of the B-compatible connection is self-dual. It turns out that the
theory one obtains is to a very large degree fixed by the Bianchi identities.
Moreover, it is still a gravity theory, with just two propagating degrees of
freedom as in GR. | | Source: | arXiv, 0811.3147 | | Services: | Forum | Review | PDF | Favorites | |
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