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arXiv · 0709.3159

The Energy-momentum of a Poisson structure

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

Consider the quasi-commutative approximation to a noncommutative geometry. It is shown that there is a natural map from the resulting Poisson structure to the Riemann curvature of a metric. This map is applied to the study of high-frequency gravitational radiation. In classical gravity in the WKB approximation there are two results of interest, a dispersion relation and a conservation law. Both of these results can be extended to the noncommutative case, with the difference that they result from a cocycle condition on the high-frequency contribution to the Poisson structure, not from the field equations.

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M. Buric, J. Madore, G. Zoupanos. 2007-09-20. The Energy-momentum of a Poisson structure. https://doi.org/10.1140/epjc%2Fs10052-008-0602-x

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