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arXiv · 1110.3837

Coupling Shape Dynamics to Matter Gives Spacetime

Henrique Gomes·Tim Koslowski
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Abstract

Shape Dynamics is a metric theory of pure gravity, equivalent to General Relativity, but formulated as a gauge theory of spatial diffeomporphisms and local spatial conformal transformations. In this paper we extend the construction of Shape Dynamics form pure gravity to gravity-matter systems and find that there is no obstruction for the coupling of gravity to standard matter. We use the matter gravity system to construct a clock and rod model for Shape Dynamics which allows us to recover a spacetime interpretation of Shape Dynamics trajectories.

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Henrique Gomes, Tim Koslowski. 2012-05-23. Coupling Shape Dynamics to Matter Gives Spacetime. https://doi.org/10.1007/s10714-012-1355-2

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