The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any d + 1 ≠ 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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Research Article| February 09 2016
BV-BFV approach to general relativity: Einstein-Hilbert action
Alberto S. Cattaneo ;
Alberto S. Cattaneo, Michele Schiavina; BV-BFV approach to general relativity: Einstein-Hilbert action. J. Math. Phys. 1 February 2016; 57 (2): 023515. https://doi.org/10.1063/1.4941410
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