Noncommutative Gravity Solutions
High Energy Physics - Theory
2011-09-23 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We consider noncommutative geometries obtained from a triangular Drinfeld twist and review the formulation of noncommutative gravity. A detailed study of the abelian twist geometry is presented, including the fundamental theorem of noncommutative Riemannian geometry. Inspired by [1, 2], we obtain solutions of noncommutative Einstein equations by considering twists that are compatible with the curved spacetime metric.
Cite
@article{arxiv.0906.2774,
title = {Noncommutative Gravity Solutions},
author = {Paolo Aschieri and Leonardo Castellani},
journal= {arXiv preprint arXiv:0906.2774},
year = {2011}
}
Comments
35 pages, version accepted by J. Geom. Phys. Expanded introduction, misprints corrected