The latest version of the notes for this course is available in the following shared folder:
Click here or paste the following link in your browser:
https://drive.google.com/drive/folders/13dAslh9nAMA9GeTv83A-ivvQ8V2dscbi?usp=sharing
It should be accessible to all. If not, please leave a comment.
The notes have been updated to include the last and final lecture. Thanks to all who participated, either live or by going through the videos/notes later on.
This is not the final version of these notes, when I have a little time I plan to re-organise them a little bit to make a smoother logical flow. Whenever that happens, the notes will be uploaded to the shared folder and I'll mention it on this blog page.
Finally, thanks to Rajesh Gopakumar for his encouragement and ICTS for constant support that made this series happen. I particularly thank the AV staff and administrative staff for handling the practical issues, and Aditya Sharma and Omkar Shetye for coordination.
In future, comments/questions can still be posted on this blog, they reach my mailbox and I will try my best to respond.
The lecture notes have been updated to 24.04.2023 and are available in the shared folder.
The notes are now updated. I have put in a detailed explanation of why the Schwarzschild solution leads to trapped surfaces inside the horizon.
The lecture notes have been updated to 17.04.2023 and are available in the shared folder.
Like all such lecture courses, one either has to extend the number of lectures or modify the ambitious initial plan of what will be covered! Unfortunately I cannot extend this course beyond 12 lectures due to other commitments.
Therefore, a revised plan for this course is as follows.
List of topics:
Brief review of basic General Relativity and relevant mathematics. [1]
Geometry and topology of spacetimes: causality, Cauchy hypersurfaces, globally hyperbolic space-times. [3]
Geodesics, focusing and Raychaudhuri equation. [2]
Hawking and Penrose singularity theorems. [3]
Black holes: brief review, causality properties, cosmic censorship, area theorem [2]
Origins of black hole thermodynamics. [1]
Total: 12 lectures of 90 minutes each. [ ] = number of lectures assigned to each topic.
If there is interest, later in 2023 I could give another set of lectures on Black Hole Thermodynamics including recent developments.
