SUBJECT

Title

Relativity

Type of instruction

lecture

Level

master

Part of degree program
Credits

2

Recommended in

Semester 1

Typically offered in

Autumn semester

Course description

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.

Readings
  • 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