Georgios Loukes-Gerakopoulos

Searching for chaos around compact objects

There are plenty of methods to discern order from chaos, and to measure the magnitude of chaos. Some of them are in the form of indices. We are going to discuss how we can reformulate these indices in the framework of general relativity in order to make them invariant under coordinate transformation. Test cases of these reformulated indices on non-integrable spacetime backgrounds will be shown, and ways that chaotic indices can provide us with informations about relativistic systems will be discussed.