Noncommutative Gravity and the *-Lie algebra of diffeomorphisms
arXiv:hep-th/0703014 · doi:10.1002/prop.200610389
Abstract
We construct functions and tensors on noncommutative spacetime by systematically twisting the corresponding commutative structures. The study of the deformed diffeomorphisms (and Poincare) Lie algebra allows to construct a noncomutative theory of gravity.
12 pages. Presented at the Erice International School of Subnuclear Physics, 44th course, Erice, Sicily, 29.8- 7.9 2006, and at the Second workshop and midterm meeting of the MCRTN ``Constituents, Fundamental Forces and Symmetries of the Universe" Napoli, 9-13.10 2006