| Univ. Bremen Prof. Dr. C. Lämmerzahl | Black Holes (S3, elective, 6 ECTS) |
| Learning Outcomes: | Students understand the physical and mathematical properties of Black Holes. They are able to calculate important effects relevant for observations, in particular related to light rays and particle trajectories. |
| Knowledge and Understanding: | |
| Applying Knowledge and Understanding: | Participants understand the basic properties of Black Holes and the effects of particle and light motion in these Black Hole space-times with application to observations. |
| Prerequisites | Basic knowledge of General Relativity is beneficial |
| Program | After a short repetition of the needed basics of General Relativity the following issues will be covered – introduction of black hole solutions of the Einstein field equation (Schwarzschild, Kerr, etc) – spherically symmetric Black Holes, uniqueness theorems – introduction of various coordinate systems (e.g. Eddington-Finkelstein, Kruskal-Szekeres) – definition of event horizons – definition of spherical and axial symmetries in space-times, Killing vectors – analytical extension of Black Hole space-times – effects on light rays and particle motion in Black Hole space-times – Observation scenarios of Black Holes (e.g. via light effects, stellar orbits, shadows, gravitational waves, accretion disks) |
| Description of how the course is conducted | – Contact hours (lecture + exercise): 56 h (4 h x 14 weeks) – Preparation, learning, exercises: 56 h (4 h x 14 weeks) – Preparation for exam: 68 h Total working hours: 180 h |
| Description of the didactic methods | |
| Description of the evaluation methods | Written exam, oral exam, or study work |
| Adopted Textbooks | – Ch. W. Misner, K. S. Thorne, and J.A. Wheeler: Gravitation, Freeman and Co., San Francisco 1973 – I. Novikov and V. Frolov: Physics of Black Holes – Basic Concepts and New Developments, Springer Science and Business Media Dordrecht 1998. – Additional literature will be announced in the course |
| Recommended readings |
