Black holes in three dimensiónal higher spin gravity

Abstract

Inside a theory of gravity coupled to higher spin fields in three dimensions, the problem on the existence of black hole solutions carrying higher spin charges is studied. A consistent thermodynamic description for static and circularly symmetric higher spin fields living on the solid torus is given by purely topological considerations. As the higher spin symmetries are bigger than the diffeomorphisms group, in this theory, the usual geometrical notions to define regular black holes solutions, i.e., curvature, causal structure, etc., are ruled out. This rise the necessity of find them by considering other, more direct, methods which are worked out in this thesis based mainly on topological considerations and on coordinates matters. Finally, a simple ansatz to build regular higher spin black holes and higher spin fields is given.