Advances in Theoretical and Mathematical Physics

Volume 25 (2021)

Number 2

Boundary structure of general relativity in tetrad variables

Pages: 327 – 377

DOI: https://dx.doi.org/10.4310/ATMP.2021.v25.n2.a3

Authors

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)

Abstract

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.

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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