Journal
PHYSICS LETTERS A
Volume 372, Issue 17, Pages 2949-2955Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2008.01.044
Keywords
deformation quantization; quantum gravity; Einstein spaces; Finsler and Lagrange geometry; almost Kahler geometry
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Nonholonontic distributions and adapted frame 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. (c) 2008 Elsevier B.V. All rights reserved.
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