Non-commutative Corrections in Spectral Matrix Gravity
General Relativity and Quantum Cosmology
2011-02-17 v2
Abstract
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.
Cite
@article{arxiv.0802.2557,
title = {Non-commutative Corrections in Spectral Matrix Gravity},
author = {Guglielmo Fucci and Ivan G. Avramidi},
journal= {arXiv preprint arXiv:0802.2557},
year = {2011}
}
Comments
32 Pages, LaTex. Some nonessential typos in intermediate calculations in sect. 3 and 4 are corrected. The final results are the same