Leuthner, M. (2021). Hamiltonian surface charges in 3d Einstein gravity [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2021.95104
Hamiltonian surface charges are introduced in terms of the covariant phase space formalism, then they are computed for Einstein gravity in three spacetime dimensions. In general, this gives a different result depending on whether one uses the second-order (metric) or first-order (Cartan or Chern-Simons) formulation. This is studied explicitly for three different spacetime examples, only in one of which the difference between formalisms becomes apparent.
