Venue: Emmy Noether Seminar Room
Class Timings: Mondays & Wednesdays from 9:45 AM - 11:15 AM
First Meeting: 14 August 2024
Course Description:
1. Schwarzschild solution. Lorentzian horizon and singularity. Temperature and free energy
2. Hawking radiation and the information puzzle
3. Kerr solution. Geometric properties. Condition for absence of singularities in the Euclidean geometry. Temperature, Angular velocity and free energy.
4. RN solution. Gauge field profile for electric plus magnetic charge. Temperature, Chemical potential and free energy.
5. Horowitz and Strominger Black p-branes paper. Strominger’s Heterotic Soliton paper, Sections 2.1 and 2.2.
6. Brief review of string theory, essential ingredients
7. Two-charge black hole and its entropy counting
8. Three-charge black hole and its entropy counting
9. Schwarzian corrections
Course Evaluation: Writing lecture notes and drawing figures (35%), Problem sets (65%)
Perquisites: General relativity, statistical mechanics
Reference:
1. Sean Carroll’s textbook
2. https://arxiv.org/abs/0708.1270
3. https://arxiv.org/pdf/hep-th/9607026
Course Outcome:
1. Different types of black holes and their geometric entropy
2. How black holes are realized in string theory
3. How string theory allows counting of black hole entropy
4. The role of Schwarzian fluctuations in the throat of near-extremal black holes
- Teacher: Raghu Mahajan