Geometry, symmetries, and black hole stability

BERNARDO ARANEDA

Buenos Aires

Simposio; Colloquium of the Alexander von Humboldt Foundation; 2018

Alexander von Humboldt Foundation

Our current understanding of space-time structure is based on Einstein?s theory of General Relativity. Among its most spectacular predictions is the existence of space-time singularities, black holes, and gravitational waves. One of the major open problems in General Relativity is the so-called black hole stability conjecture, where, roughly speaking, one has to investigate mathematically whether gravitational waves produced by perturbations of a black hole will decay asymptotically, so that singularities remain hidden inside event horizons. In the context of the linear approach to this problem, we briefly describe some recent results about the underlying symmetries and geometric structure of the main equations that govern the problem.