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arXiv · hep-th/0603044

Gravity and the Structure of Noncommutative Algebras

M. Buric·T. Grammatikopoulos·J. Madore·G. Zoupanos
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Abstract

A gravitational field can be defined in terms of a moving frame, which when made noncommutative yields a preferred basis for a differential calculus. It is conjectured that to a linear perturbation of the commutation relations which define the algebra there corresponds a linear perturbation of the gravitational field. This is shown to be true in the case of a perturbation of Minkowski space-time.

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M. Buric, T. Grammatikopoulos, J. Madore, G. Zoupanos. 2006-03-06. Gravity and the Structure of Noncommutative Algebras. https://doi.org/10.1088/1126-6708%2F2006%2F04%2F054

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