Julius Wess, “Einstein–Riemann Gravity on Deformed Spaces”, SIGMA, 2006, Volume 2,089, 9 pp.

This article is cited in 6 papers

Einstein–Riemann Gravity on Deformed Spaces

Julius Wess^abc

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

Abstract: 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.

Keywords: noncommutative spaces; deformed gravity.

MSC: 83C65; 81T75; 58B34

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

Language: English

DOI: 10.3842/SIGMA.2006.089