Non-commutative Corrections in Spectral Matrix Gravity

Details Non-commutative Corrections in Spectral Matrix Gravity Non-commutative Corrections in Spectral Matrix Gravity

2008-02-18

arxiv.org/abs/0802.2557v2

Class.Quant.Grav.26:045019,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 Pages, LaTex. Some nonessential typos in intermediate calculations in sect. 3 and 4 are corrected. The final results are th

Scientific paper

10.1088/0264-9381/26/4/045019

We study a non-commutative deformation of general relativity based on
spectral invariants of a partial differential operator acting on sections of a
vector bundle over a smooth manifold. We compute the first non-commutative
corrections to Einstein equations in the weak deformation limit and analyze the
spectrum of the theory. Related topics are discussed as well.

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