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arXiv · 1509.05762

BV-BFV approach to General Relativity, Einstein-Hilbert action

Alberto S. Cattaneo·Michele Schiavina
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Abstract

The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any $d + 1 \not= 2$ (pseudo-) Riemannian manifold M with space-like or time-like boundary components, the BV data on the bulk induces compatible BFV data on the boundary. As a byproduct, the usual canonical formulation of general relativity is recovered in a straightforward way.

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Alberto S. Cattaneo, Michele Schiavina. 2016-02-10. BV-BFV approach to General Relativity, Einstein-Hilbert action. https://doi.org/10.1063/1.4941410

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