Classical and Quantum Aspects of Black Holes

Vorlesung "Classical and Quantum Aspects of Black Holes "

Dr. Souvik Banerjee

Vorlesungszeiten:

• Mo 10:00 - 12:00 Uhr, SE 5
• Mi   10:00 - 11:00 Uhr SE 5

Themen

A. CLASSICAL BLACK HOLES

- Vacuum solutions of Einstein’s equation - the Schwarzschild solution

  Birkhoff's theorem, the Eddington-Finkelstein coordinates; Krushkal extension and eternal black holes; conformal

  compactification and Carter-Penrose diagram

- Gravitational collapse - the Oppenheimer-Snyder solution

- Charged and rotating black holes - Cauchy horizons, ergosphere

- The laws of black hole thermodynamics

REFERENCES: We will cover parts of the beautiful review article https://arxiv.org/pdf/gr-qc/9707012.pdf
 

B. BLACK HOLES AND QUANTUM MECHANICS

- An introduction to QFT on curved spacetime

- A derivation of Hawking radiation - Hawking's original formulation of the information paradox

- The “holography of information” - information paradox in AdS/CFT, the Page curve and Islands.

- Firewall, fuzzball, complementarity - possible resolutions of the information paradox, interior reconstruction and state dependence

- Wormholes

REFERENCES: For the QFT on curved spacetime we will use the book by Birrell and Davies.
For the other topics, we will mostly follow research articles. I shall mention those during the lectures.

 

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