EinsteinRiemann Gravity on Deformed Spaces
Abstract
A differential calculus, differential geometry and the ER 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.
 Publication:

SIGMA
 Pub Date:
 December 2006
 DOI:
 10.3842/SIGMA.2006.089
 arXiv:
 arXiv:hepth/0611025
 Bibcode:
 2006SIGMA...2..089W
 Keywords:

 noncommutative spaces;
 deformed gravity;
 High Energy Physics  Theory;
 Mathematics  Differential Geometry;
 Mathematics  Quantum Algebra
 EPrint:
 This is a contribution to the Proc. of the O'Raifeartaigh Symposium on NonPerturbative 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/