Course Dates Credits
Advanced GR and QFT in Curved Spacetimes Jan - Mar 14
Lecturers
Stefano Liberati

Program:

1. Operative construction of spacetime and the von Ingnatovski theorem
2. Equivalence principles, metric, connections and Intrinsic vs Extrinsic curvature
3. Lie derivative, Killing vectors and Conserved quantities
4. Geodesic deviation equation and Raychauduri equation
5. Lagrangian formulation of gravitational theories
6. Generalized theories of Gravitation
7. Global methods, Carter-Penrose diagrams, Killing Horizons
8. Event, Cauchy and Cosmological horizons
9. Singularity theorems
10. Kerr BH and Penrose mechanism
11. BH mechanics/thermodynamics
12. QFT in curved spacetimes
13. Moving mirrors
14. Hawking radiation

Prerequisites:

Books:

Online Resources:

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