Some models of geometric noncommutative general relativity

@article{Dobrski2011SomeMO,
  title={Some models of geometric noncommutative general relativity},
  author={M. Dobrski},
  journal={Physical Review D},
  year={2011},
  volume={84},
  pages={065005}
}
  • M. Dobrski
  • Published 2011
  • Physics
  • Physical Review D
  • Using Fedosov theory of deformation quantization of endomorphism bundle we construct several models of pure geometric, deformed vacuum gravity, corresponding to arbitrary symplectic noncommutativity tensor. Deformations of Einstein-Hilbert and Palatini actions are investigated. Coordinate covariant field equations are derived up to the second order of the deformation parameter. For some models they are solved and explicit corrections to an arbitrary Ricci-flat metric are pointed out. The… CONTINUE READING
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