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arxiv: 0906.2774 · v2 · submitted 2009-06-15 · ✦ hep-th · math-ph· math.MP· math.QA

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Noncommutative Gravity Solutions

Paolo Aschieri , Leonardo Castellani
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classification ✦ hep-th math-phmath.MPmath.QA
keywords noncommutativegeometrygravitysolutionstwistabeliancompatibleconsider
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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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