Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions

摘要: In a preamble, quick summary of the line thought from Noether's theorems to modern views on conserved charges in gauge theories is attempted. Most background material needed for thesis set out through small survey literature. Emphasis put concepts more than formalism, which relegated appendices.The treatment exact conservation laws Lagrangian constitutes main axis first part thesis. The formalism developed as self-consistent theory but inspired by earlier works, mainly cohomological results, covariant phase space methods and Hamiltonian formalism.The thermodynamical properties black holes, especially law, are studied general geometrical setting worked several objects: strings rings. Also, new family holes with closed timelike curves three dimensions described.The second natural generalization asymptotic analyses. We start construction spaces admitting asymptotically charges. representation symmetry algebra Poisson bracket among then defined shown admit generically central extensions. structures three-dimensional spacetimes detail consequences quantum gravity discussed.