SUBJECT
Relativity
lecture
master
2
Semester 1
Autumn semester
The principle of special relaivity. Minkowski spaceime. Relaivisic kinemaics, velocity addiions, Lorentz transformaion, ime dilataion, Lorentz contracion. Astrophysical applicaions: superluminal moions, relaivisic beaming. Relaivisic dynamics. 4-vectors, mass increase. Principle of general relaivity. Curved manifolds, curved spaceime, covariant and contravariant representaion. Einstein equaions. Robertson-Walker metrics, Schwarzschild and Kerr metrics. Astrophysical applicaions: perihelion moion, light delecion, dynamics around black holes.
- Hraskó: Basic relaivity. Springer, 2011.
- Shapiro & teukolsky: Black holes, white dwarfs and neutron stars. Wiley, 1983
- Bradley et al.: Introducion to Modern Astrophysics. 2Nd ed., Benjamin Cummings Publ., 2006, ISBN 978- 0805304022