Noncommutative Gravity Solutions

Understand

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.