Univ. Bremen
Prof. C.
Black Holes
(S3, elective, 6 ECTS)
Learning Outcomes:
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.
PrerequisitesGeneral Relativity
ProgramBlack Holes are the most outstanding predictions of General Relativity. Based on the course “Introduction to General Relativity” various analytic axially symmetric solutions of the Einstein field equations will be derived. The solutions are the Schwarzschild solution, the Reissner-Nordström, Kerr, Kerr-Newman, Schwarzschild-de Sitter, and the general class of Plebanski-Demianski solutions. These solutions will be analyzed with respect to their causal properties and with respect to the appearing singularity. Also the geodesic equations for these space-times and the corresponding observable effects will be calculated. This will be compared with observations of star motion around Sgr A*. Furthermore, Black Holes in generalized theories of gravity will be treated. As an example, the Black Hole solution of the Einstein-Maxwell theory with a nonlinear Maxwell field which does not possess any singularity will be discussed. Finally, also wormholes will be introduced.
Description of how the course is conducted
Description of the didactic methods
Description of the evaluation methods
Adopted TextbooksA list of references will be provided at the start of the semester.
Recommended readings