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.

Accepted manuscript. Few exposition and stylistic improvements. 32 pages

References in corpus (2)

• Canonical analysis of $n$-dimensional Palatini action without second-class constraints
• General Relativity and the AKSZ construction

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• 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