The volume contains the lectures presented at the Fifth Hungarian Relativity Workshop. These triennal events provide a forum for discussions by internationally recognized experts, by surveying developing directions in general relativity. The material is arranged in sections reflecting on the prevalent research fields, and following the layout of the previous volumes.General relativity remains an intensively researched area of theoretical physics. In the past decades, the theory has been enriched by deep new ideas. The physics of black holes has become a well-established part of relativity. The canonical approach to gravitation has undergone a period of vigorous development. With the spectacular evolution of observational techniques, cosmological theories have diversified at a breath-taking pace. New initiatives have stemmed from particle theory, such as the physics of supersymmetric fields, gravitational monopoles and solitons.