Central European Institute for Cosmology and Fundamental Physics

Upcoming seminars

17th Sep 2018, 14:00    Elena de Paoli,  A gauge-invariant symplectic potential for tetrad general relativity

8th Oct 2018, 14:00    Katherine Freese,  TBA

15th Oct 2018, 14:00    Hidehiko Shimada,  TBA

15th Oct 2018, 14:00    Hiroyuki Sagawa,  TBA (Division Seminar)



17/09/2018 -- Elena De Paoli (Marseille, CPT )

Time:  14:00

Place: 117

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 to surface charges associated with the internal Lorentz transformations, and reduces exactly to the symplectic potential given by the Einstein-Hilbert action. In particular, it reproduces the Komar form when the variation is a Lie derivative, and the geometric expression in terms of extrinsic curvature and 2d corner data for a general variation. As a direct application of this analysis we prove that the first law of black hole mechanics follows from the Noether identity associated with the covariant Lie derivative, and that it is independent of the ambiguities in the symplectic potential provided one takes into account the presence of non-trivial Lorentz charges that these ambiguities can introduce.