Deformation Quantization of Nonholonomic Almost Kahler Models and Einstein Gravity

Details Deformation Quantization of Nonholonomic Almost Kahler Models and Einstein Gravity Deformation Quantization of Nonholonomic Almost Kahler Models and Einstein Gravity

2007-07-11

arxiv.org/abs/0707.1667v4

Phys.Lett.A372:2949-2955,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex 2e, 11pt, 15 pages, v4 accepted by Phys. Lett. A

Scientific paper

10.1016/j.physleta.2008.01.044

Nonholonomic distributions and adapted fame structures on (pseudo) Riemannian manifolds of even dimension are employed to build structures equivalent to almost Kahler geometry and which allows to perform a Fedosov-like quantization of gravity. The nonlinear connection formalism that was formally elaborated for Lagrange and Finsler geometry is implemented in classical and quantum Einstein gravity.

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