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

2016, January 31
A. S. Cattaneo and M. Schiavina
J. Math. Phys. 57, 023515 (2016)
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.