BV-BFV approach to general relativity: Einstein-Hilbert action

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 spacelike 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. DOI: https://doi.org/10.1063/1.4941410 Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-125070 Accepted Version Originally published at: Cattaneo, Alberto S; Schiavina, Michele (2016). BV-BFV approach to general relativity: Einstein-Hilbert action. Journal of Mathematical Physics, 57(2):online. DOI: https://doi.org/10.1063/1.4941410 BV-BFV APPROACH TO GENERAL RELATIVITY: EINSTEIN-HILBERT ACTION A. S. CATTANEO AND M. SCHIAVINA Abstract. The present paper shows that General Relativity in the ADM formalism admits a BV-BFV formulation. More precisely, for any d + 1 6= 2 (pseudo-)Riemannian manifold M with spacelike or timelike 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. The present paper shows that General Relativity in the ADM formalism admits a BV-BFV formulation. More precisely, for any d + 1 6= 2 (pseudo-)Riemannian manifold M with spacelike or timelike 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.