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.

Topics
Einstein field equations, General relativity, Differentiable manifold, Differential geometry, Operator theory, Partial differential equations, Vector fields, Gauge theory, Gauge symmetry, Quantum gravity
© 2016 AIP Publishing LLC.
2016
AIP Publishing LLC
You do not currently have access to this content.