Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 089, 9 pages      hep-th/0611025
Contribution to the Proceedings of the O'Raifeartaigh Symposium

Einstein-Riemann Gravity on Deformed Spaces

Julius Wess a, b, c
a) Arnold Sommerfeld Center for Theoretical Physics Universität München, Theresienstr. 37, 80333 München, Germany
b) Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany
c) Universität Hamburg, II Institut für Theoretische Physik and DESY, Luruper Chaussee 149, 22761 Hamburg, Germany

Received October 27, 2006, in final form November 28, 2006; Published online December 11, 2006

A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal algebra of diffeomorphisms. Considering the corresponding Hopf algebra we find that the deformed gravity is based on a deformation of the Hopf algebra.

Key words: noncommutative spaces; deformed gravity.

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