General relativity tutorial - Group 3
UPLOAD YOUR HOMEWORK HERE
Follow the instructions given on the exercise sheets
Follow the instructions given on the exercise sheets
Organizational details
- M.Sc. Physics core course worth 8 ECTS
- https://www.thphys.uni-heidelberg.de/~amendola/gr-ss2021.html - Course homepage on Prof. Amendola’s personal website
- Assignment details :
- Need 50% correct on them in order to be eligible for the exam in July
- Can hand them in groups of two (Highly recommended)
Literature
Personal recommendations
- Lecture notes on GR - David Tong
- Like all of his notes, you can never go wrong. You can find them here
- General relativity : An introduction for physicists - Hobson.
- Classic text. Uses modern notations and language. Exactly the right amount of treatment of differential geometry needed. Very lucid and smooth explanations of concepts. Does a complete treatment of SR before jumping into GR (Which is really important)
- Relativity, Gravitation and Cosmology - Lambourne
- Easiest GR text I’ve come across till date. Good as a first introduction, but in no way complete enough for a proper MS level course.
Recommendation according to Prof. Amendola’s notes
- A first course in General relativity - Bernard Schutz
- A very standard text for a first course in GR. Looking to Prof. Amendola’s notes, I am going to assume this to be the main reference book for his lectures.
- Lecture notes on GR - Sean Carroll : https://arxiv.org/pdf/gr-qc/9712019.pdf
- Another common text. It is undoubtedly an excellent book - a lot of diagrams and explanations. Although, I do remember getting lost in the first three chapters while not realizing the bigger picture. Try to avoid that mistake and would be an amazing read.
Tutorials
Handouts
Handout 1 : Introduction to Group III (6 April 2021)
Handout 2 : Preparation tips for GR (6 April 2021)
Tutorial plan
Friday, 16 April 2021, (3:00 PM - 5:00 PM)
- Organizational matters
- Literature
- GR in a nutshell
- Crash course : Geodesic equation
Tuesday, 20 April 2021, (11:00 AM - 12:45 PM)
- Minkowski metric and light clock gedanken experiment
- Lorentz transformation
- 4-vectors
Tuesday, 27 April 2021, (11:00 AM - 12:45 PM)
- Solved exercise 1.1 (Doppler effect in SR using kinematics)
- Derivation of Geodesic equation in curved space
Tuesday, 4 May 2021, (11:00 AM - 12:45 PM)
- Solved exercise 2.1 (Constant acceleration in SR)
- Solved exercise 2.2 (Rindler coordinates in Minkowski spacetime - Diagram, calculation and interpretation)
- Solved exercise 2.3 (Compton effect - (i) Using explicit conservation laws, (ii) Using 4-vectors - conservation laws come built in them)
- Solved exercise 2.4 (One forms I)
Tuesday, 11 May 2021, (11:00 AM - 12:45 PM)
- Solved exercise 3.1 (One forms III)
- Solved exercise 3.2 (Energy momentum tensor of dust)
Tuesday, 18 May 2021, (11:00 AM - 12:45 PM)
- Solved exercise 4.3 (Curved nature of spherical coordinates in Euclidean 3D space)
Tuesday, 25 May 2021, (11:00 AM - 12:45 PM)
- Solved exercise 5.2 (Geodesic equation and affine parameters)
- Solved exercise 5.4 (Bonus - Covarient derivative of a metric)
- Solved exercise 5.5 (Bonus - Parallel transport in Euclidean space)
Slides-Unannotated, Slides-annotated
Tuesday, 1 June 2021, (11:00 AM - 12:45 PM)
- Solved exercise 6.2 (Local inertial frame in a weak gravitaional field)
- Solved exercise 6.3 (Killing vectors and conserved quantities) Slides-Unannotated, Slides-annotated
Tuesday, 8 June 2021, (11:00 AM - 12:45 PM)
- Solved exercise 7.1 (Gravitaional deflection of light in GR)
- Solved exercise 7.2 (Gravitational deflection of light in Newtonian gravity) Slides-Unannotated, Slides-annotated
Tuesday, 15 June 2021, (11:00 AM - 12:45 PM)
Slides-Unannotated, Slides-annotated
Tuesday, 22 June 2021, (11:00 AM - 12:45 PM) Solutions-Vito
Tuesday, 29 June 2021, (11:00 AM - 12:45 PM) Solutions-Vito
Tuesday, 6 July 2021, (11:00 AM - 12:45 PM) Solutions-Vito
