Research report 2019 - Max Planck Institute for Mathematics
Symmetry groupoids in classical field theory
Max-Planck-Institut für Mathematik, Bonn
SummaryThe correspondence between symmetries and conservedquantities is one of the most important principles of physics. Incontrast to classical mechanics and gauge field theories, the con-served quantities of General Relativity do not span a symmetry algebra in the conventional sense. Instead, a so-called Hamiltonian Lie algebroid is obtained from a naturally constructed symmetry groupoid.