A gauge-invariant symplectic potential for tetrad general relativity

• DOI: 10.1007/jhep07(2018)040
• Publication Date: 2018-07-07T01:59:35Z
• Authors: Elena De Paoli; Simone Speziale
• Keywords: Tetrad

A bstract We identify a symplectic potential for general relativity in tetrad and connection variables that is fully gauge-invariant, using the freedom to add surface terms. When torsion vanishes, it does not lead charges associated with internal Lorentz transformations, reduces exactly given by Einstein-Hilbert action. In particular, reproduces Komar form when variation Li derivative, geometric expression terms of extrinsic curvature 2d corner data variation. The additional term vanishes at spatial infinity asymptotically flat spacetimes, thus usual Poincaré are obtained. prove first law black hole mechanics follows from Noether identity covariant Lie independent ambiguities provided one takes into account presence non-trivial these can introduce.