Gauge and Einstein Gravity from Non-Abelian Gauge Models on   Noncommutative Spaces
  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. 
Sergiu I. Vacaru