Diffeomorphism covariant star products and noncommutative gravity
High Energy Physics - Theory
2011-04-14 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0904.3079,
title = {Diffeomorphism covariant star products and noncommutative gravity},
author = {D. V. Vassilevich},
journal= {arXiv preprint arXiv:0904.3079},
year = {2011}
}
Comments
8 pages, v2, v3: references and comments added