Einstein-Riemann Gravity on Deformed Spaces
High Energy Physics - Theory
2008-12-19 v2 Differential Geometry
Quantum Algebra
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.
Cite
@article{arxiv.hep-th/0611025,
title = {Einstein-Riemann Gravity on Deformed Spaces},
author = {Julius Wess},
journal= {arXiv preprint arXiv:hep-th/0611025},
year = {2008}
}
Comments
This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/