Noncommutative Gravity Solutions

Details Noncommutative Gravity Solutions Noncommutative Gravity Solutions

2009-06-15

arxiv.org/abs/0906.2774v2

J.Geom.Phys.60:375-393,2010

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, version accepted by J. Geom. Phys. Expanded introduction, misprints corrected

Scientific paper

10.1016/j.geomphys.2009.11.009

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.

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