PHY519 Applications of General Relativity
General Information
| Lecturer: | Prof. Philippe Jetzer |
| Assistants: | Maria Haney (Irchel, Y36 K34) Shubhanshu Tiwari (Irchel, Y36 K34) Michael Ebersold (Irchel, Y36 K32) |
| Lecture: | Friday 13:00-14:45 (Irchel, Y36 K08) |
| Exercises classes: | Friday 15:00-15:45 (Irchel, Y36 K08) |
| Misc: |
Lecture Notes
Applications of General Relativity in Astrophysics and Cosmology (PDF, 765 KB)
General Relativity (PDF, 1 MB)
Please report any mistakes or typos to Michael.
Lecture
| 21.02.2020 | 1. Time Delay of Radar Echoes | p. 1-3 |
| 28.02.2020 | 2. Geodetic Precession | p. 4-9 |
| 06.03.2020 | 3. Linearized field Equations | p. 10-13 |
| 13.03.2020 | 4. Lense-Thirring Effect | p. 14-18 |
| 20.03.2020 | 5 Gravitational Waves (5.1 - 5.4) | p. 19-26 |
| 27.03.2020 | 5. Gravitational Waves (5.5) | p. 26-32 |
| 03.04.2020 | 6. Sources of Gravitational Waves (6.1 - 6.2) | p. 33-37 |
| 24.04.2020 | 6. Sources of Gravitational Waves (6.3) | p. 38-41 |
| 08.05.2020 | 6. Sources of Gravitational Waves (6.4) | p. 41-43 |
| 15.05.2020 | 7. The post-Newtonian Approximation (7.1) | p. 44-48 |
| 22.05.2020 | 7. The post-Newtonian Approximation (7.2) | p. 48-54 |
| 29.05.2020 | 8. The Kerr Solution | p. 54-58 |
Exercises
| Exercise 1 (PDF, 113 KB) | Solution 1 |
| Exercise 2 (PDF, 168 KB) | Solution 2 |
| Exercise 3 (PDF, 111 KB) | Solution 3 |
| Exercise 4 (PDF, 123 KB) | Solution 4 |
| Exercise 5 (PDF, 153 KB) | Solution 5 |
| Exercise 6 (PDF, 131 KB) | Solution 6 |
| Exercise 7 (PDF, 90 KB) | Solution 7 |
| Observation of Gravitational Waves from a Binary Black Hole Merger | Link to paper |
| Observation of a Binary Black Hole Coalescence with Asymmetric Masses (optional) | Link to paper |
| Exercise 8 (PDF, 81 KB) | Solution 8 |
| Exercise 9 (PDF, 116 KB) | Solution 9 |
Additional Material
- Popular lecture notes by Sean Caroll
Recommended Books
- S. Carroll, Spacetime and Geometry, Pearson, 2003
- S. Weinberg, Gravitation and Cosmology, Wiley, 1972
- N. Straumann, General Relativity with applications to Astrophysics, Springer Verlag, 2004
- C. Misner, K. Thorne and J. Wheeler, Gravitation, Freeman, 1973
- R. Wald, General Relativity, Chicago University Press, 1984
- T. Fliessbach, Allgemeine Relativitätstheorie, Spektrum Verlag, 1995
- B. Schutz, A first course in General Relativity, Cambridge, 1985
- R. Sachs and H. Wu, General Relativity for mathematicians, Springer Verlag, 1977
- J. Hartle, Gravity, An introduction to Einstein's General Relativity, Addison Wesley, 2002
- H. Stephani, General Relativity, Cambridge University Press, 1990
- A. Zee, Einstein Gravity in a Nutshell, Princeton University Press, 2013
- M. Guidry, Modern General Relativity, Cambridge University Press, 2019
- M. Maggiore, Gravitational Waves: Volume 1: Theory and Experiments, Oxford University Press, 2008