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arXiv · 0806.2775

Non-linear parent action and dual gravity

Nicolas Boulanger·Olaf Hohm
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Abstract

We give a reformulation of non-linear Einstein gravity, which contains the dual graviton together with the ordinary metric and a shift gauge field. The metric does not enter through a `kinetic' Einstein-Hilbert term, but via topological couplings, and so the theory does not lead to a doubling of degrees of freedom. The field equations take the form of first-order duality relations. We analyze the gauge symmetries and comment on their meaning with regard to the E11 proposal.

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Nicolas Boulanger, Olaf Hohm. 2008-06-17. Non-linear parent action and dual gravity. https://doi.org/10.1103/physrevd.78.064027

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