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Gravity and the structure of noncommutative algebras
| Venue: | JHEP |
| Citations: | 16 - 5 self |
BibTeX
@ARTICLE{Burić_gravityand,
author = {M. Burić and T. Grammatikopoulos and J. Madore and G. Zoupanos},
title = {Gravity and the structure of noncommutative algebras},
journal = {JHEP},
year = {},
pages = {054--0603044}
}
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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 It is known that to a noncommutative geometry one can associate in various ways a gravitational field. This can be elegantly done [1, 2] in the imaginary-time formalism and perhaps less so [3] in the real-time formalism. We examine here the inverse problem, that of associating a noncommutative geometry to a given classical field. As
