Boundary structure of General Relativity in tetrad variables

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.

arXiv commentAccepted manuscript. Few exposition and stylistic improvements. 32 pages

References in corpus (8)

• Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
• Perturbative quantum gauge theories on manifolds with boundary
• Classical and quantum Lagrangian field theories with boundary
• The reduced phase space of Palatini-Cartan-Holst theory
• On time
• Canonical analysis of $n$-dimensional Palatini action without second-class constraints
• Fully extended BV-BFV description of General Relativity in three dimensions
• General Relativity and the AKSZ construction

Cited by in corpus (14)

• Boundary effects in General Relativity with tetrad variables
• Asymptotic symmetries in the BV-BFV formalism
• Covariant canonical formulations of classical field theories
• Hamiltonian Gotay-Nester-Hinds analysis of the parametrized unimodular extension of the Holst action
• General Relativity and the AKSZ construction
• BV equivalence with boundary
• Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles
• A Lie-Rinehart algebra in general relativity
• Gravity with torsion as deformed $BF$ theory
• Gravitational Constraints on a Lightlike boundary
• Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism
• Boundary structure of the standard model coupled to gravity
• Double BFV quantisation of 3d Gravity
• Phase space for gravity with boundaries