Abstract
A twisted covariant formulation of noncommutative self-dual gravity is presented. The formulation for constructing twisted noncommutative Yang-Mills theories is used. It is shown that the noncommutative torsion is solved at any order of the expansion in terms of the tetrad and some extra fields of the theory. In the process the first order expansion in for the Plebański action is explicitly obtained.
- Received 19 September 2008
DOI:https://doi.org/10.1103/PhysRevD.78.124008
©2008 American Physical Society