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.
Dear Prof. Mukhi,
ReplyDeleteThank you for the advanced GR lectures and also for providing the notes and study materials publicly available.
I personally am very interested in the topic of BH thermodynamics. I look forward to your lectures on this topic, especially in this summer. It would be very nice. Thanks.
Best.
Thank you for the kind words! Let's see when I can schedule another series of lectures.
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