| course | dates | credits |
| Advanced GR and QFT in Curved Spacetimes | Jan 16 - Mar 21 | 5 |
| teachers | schedule | term |
| Stefano Liberati | Tue and Thu, 11:30-13:00 | 2 |
Program:
I Foundations, axiomatic derivation of Local Lorentz invariance, EP
II Equivalence Principles, Elements of Differential Geometry
III Curved Manifolds, hypersurfaces, symmetries
IV "Geodesic deviation eq., Raychauduri eq., En. Conditions"
V Lagrangian Formulation and Action principle for GR (metric+Palatini)
VI Alternative Gravitation theories
VII Global methods - Carter Penrose diagrams - BH theory: singularities and event horizons.
VIII Killing Horizons - Surface Gravity
IX Cauchy Horizons, Cosmological horizons
X Trapped regions, trapping horizons,
XI Singularity theorem, Regular BH
XII Kerr BH and the Penrose process
XIII From BH mechanics to BH Thermodynamics
XIV Fours Laws of Black Hole Thermodynamics, QFT in CS intro
XV Bogolyubov transformations, Particle production in time varying external field, Squeezed states, Casimir effect
XVI Unruh effect, Moving Mirrors
XVII Hawking radiation, Info and Transplanckian problems, BH Entropy
XVIII Semiclassical gravity, RSET
XIX Semiclassical collapse
XX Wormholes, Warp Drives and Time Machines
Prerequisites:
An introductory course to GR
Books:
Advanced GR:
"General Relativity", R.M. Wald,
"Spacetime and Geometry", S.Carrol,
"A relativist toolkit", E. Poisson.
QFT in curved spacetime:
"Quantum fields in curved space", N.C. Birrell & P.C.W. Davies,
"Vacuum effects in strong fields", A.A. Grib, S.G. Mamayev, V.M. Mostepanenko,
"Introduction to quantum effects in Gravity", V.F. Mukhanov and S. Winitzki.
Online Resources:
| Filename | Size (bytes) | Date Modified | |
|---|---|---|---|
 |
Lect-Notes-AdvGR-2024-Fin.pdf | 6.2 MB | Apr 24 2024 5:25 PM |
|
SyllabusAdvGR2024.pdf | 157.17 KB | Jan 17 2024 9:51 AM |