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Abstract: Using Fedosov theory of deformation quantization of endomorphism bundle weconstruct several models of pure geometric, deformed vacuum gravity,corresponding to arbitrary symplectic noncommutativity tensor. Deformations ofEinstein-Hilbert and Palatini actions are investigated. Coordinate covariantfield equations are derived up to the second order of the deformationparameter. For some models they are solved and explicit corrections to anarbitrary Ricci-flat metric are pointed out. The relation to the theory ofSeiberg-Witten map is also studied and the correspondence to the spacetimenoncommutativity described by Fedosov *-product of functions is explained.



Autor: Michal Dobrski

Fuente: https://arxiv.org/







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