BV-BFV approach to General Relativity, Einstein-Hilbert action
Mathematical Physics
2016-02-11 v2 General Relativity and Quantum Cosmology
math.MP
Symplectic Geometry
Abstract
The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any (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.
Keywords
Cite
@article{arxiv.1509.05762,
title = {BV-BFV approach to General Relativity, Einstein-Hilbert action},
author = {Alberto S. Cattaneo and Michele Schiavina},
journal= {arXiv preprint arXiv:1509.05762},
year = {2016}
}
Comments
16 pages