D V Vassilevich 2009 Class. Quantum Grav. 26 145010 doi:10.1088/0264-9381/26/14/145010
D V Vassilevich
Show affiliationsThe 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.
04.50.-h Higher-dimensional gravity and other theories of gravity
58B34 Noncommutative geometry (à la Connes)
83C65 Methods of noncommutative geometry (See also 58B34)
53D55 Deformation quantization, star products
58D05 Groups of diffeomorphisms and homeomorphisms as manifolds (See also 22E65, 57S05)
Issue 14 (21 July 2009)
Received 26 April 2009, in final form 25 May 2009
Published 25 June 2009
D V Vassilevich 2009 Class. Quantum Grav. 26 145010
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