Diffeomorphism covariant star products and noncommutative gravity

Details Diffeomorphism covariant star products and noncommutative gravity Diffeomorphism covariant star products and noncommutative gravity

2009-04-20

arxiv.org/abs/0904.3079v3

Class.Quant.Grav.26:145010,2009

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, v2, v3: references and comments added

Scientific paper

10.1088/0264-9381/26/14/145010

The use of a diffeomorphism covariant star product enables us to construct diffeomorphism invariant gravities on noncommutative symplectic manifolds without twisting the symmetries. As an example, we construct noncommutative deformations of all two-dimensional dilaton gravity models thus overcoming some difficulties of earlier approaches. One of such models appears to be integrable. We find all classical solutions of this model and discuss their properties.

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