Gauge and Einstein Gravity from Non-Abelian Gauge Models on Noncommutative Spaces

Abstract

Following the formalism of enveloping algebras and star product calculus we formulate and analyze a model of gauge gravity on noncommutative spaces and examine the conditions of its equivalence to general relativity. The corresponding Seiberg-Witten maps are established which allow the definition of respective dynamics for a finite number of gravitational gauge field components on noncommutative spaces.

latex209, 14 pages

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