Advances in Theoretical and Mathematical Physics

Volume 25 (2021)

Number 2

Boundary structure of general relativity in tetrad variables

Pages: 327 – 377



G. Canepa (Institut für Mathematik, Universität Zürich, Switzerland)

A. S. Cattaneo (Institut für Mathematik, Universität Zürich, Switzerland)

M. Schiavina (Institut für Mathematik, Universität Zürich, Switzerland; and Institute for Theoretical Physics, ETH Zürich, Switzerland)


An explicit, geometric description of the first-class constraints and their Poisson brackets for gravity in the Palatini–Cartan formalism (in space–time dimension greater than three) is given. The corresponding Batalin–Fradkin–Vilkovisky (BFV) formulation is also developed.

This research was (partly) supported by the NCCR SwissMAP, funded by the Swiss National Science Foundation. G.C. and A.S.C. acknowledge partial support of SNF Grant No. 200020-172498/1. M.S. acknowledges partial support from Swiss National Science Foundation grants P2ZHP2 164999 and P300P2 177862.

Published 17 February 2022