Non-commutative Corrections in Spectral Matrix Gravity

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.

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

References in corpus (5)

• A Gravity Theory on Noncommutative Spaces
• Symmetry, Gravity and Noncommutativity
• Noncommutative Gravity
• A Noncommutative Deformation of General Relativity
• Noncommutative Einstein Equations

Cited by in corpus (2)

• Kinematics in Matrix Gravity
• MOND via Matrix Gravity