Einstein-Riemann Gravity on Deformed Spaces

Physics – High Energy Physics – High Energy Physics - Theory

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This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (

Scientific paper

10.3842/SIGMA.2006.089

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.

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