Black Holes have advanced to the forefront of current research in various disciplines: besides the obvious ones, general relativity, mathematical physics and astrophysics, also string theory, quantum chromodynamics, cosmology, computational physics, quantum gravity and even part of condensed matter physics devote a signi cant fraction of their resources to the study of Black Holes. It is thus both a fascinating and timely subject to investigate. The main purpose of this lecture is a treatment of advanced topics/current research topics in black hole physics.

• Black hole definition, causal structure and Penrose diagrams
• Raychaudhuri equations and singularity theorems
• Gravitational waves and black hole mergers
• Black hole perturbations and quasi-normal modes
• Black hole thermodynamics
• Hawking effect
• Action principle and boundary issues
• Holographic renormalization and Brown-York stress tensor
• Asymptotic symmetries
• Black holes in AdS
• ... and possibly further selected recent research topics

the lecture Black Holes I is a necessary pre-requisite (or, equivalently, good knowledge in General Relativity/basics of black hole physics)