Black Hole Information and Thermodynamics

1. Front Matter

   Pages i-x

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2. Special Relativity

   • Dieter Lüst, Ward Vleeshouwers

   Pages 1-3

3. Riemannian Geometry

   • Dieter Lüst, Ward Vleeshouwers

   Pages 5-7

4. Introduction to General Relativity

   • Dieter Lüst, Ward Vleeshouwers

   Pages 9-10

5. General Relativity

   • Dieter Lüst, Ward Vleeshouwers

   Pages 11-14

6. Einstein’s Equations

   • Dieter Lüst, Ward Vleeshouwers

   Pages 15-19

7. Black Holes

   • Dieter Lüst, Ward Vleeshouwers

   Pages 21-24

8. Kruskal–Szekeres Coordinates and Geodesics of the Schwarzschild Black Hole

   • Dieter Lüst, Ward Vleeshouwers

   Pages 25-28

9. Conformal Compactifications and Penrose Diagrams

   • Dieter Lüst, Ward Vleeshouwers

   Pages 29-32

10. Penrose Diagrams of Charged and Rotating Black Holes

    • Dieter Lüst, Ward Vleeshouwers

    Pages 33-36

11. Rotating Black Holes and Black Hole Mechanics

    • Dieter Lüst, Ward Vleeshouwers

    Pages 37-40

12. Black Hole Mechanics and Thermodynamics

    • Dieter Lüst, Ward Vleeshouwers

    Pages 41-44

13. Black Hole Thermodynamics

    • Dieter Lüst, Ward Vleeshouwers

    Pages 45-47

14. Black Holes and Entropy

    • Dieter Lüst, Ward Vleeshouwers

    Pages 49-50

15. Hawking and Unruh Radiation

    • Dieter Lüst, Ward Vleeshouwers

    Pages 51-53

16. Quantum Field Theory in Curved Space-Time Backgrounds

    • Dieter Lüst, Ward Vleeshouwers

    Pages 55-58

17. Unruh and Hawking Effects

    • Dieter Lüst, Ward Vleeshouwers

    Pages 59-62

18. Information Loss Paradox

    • Dieter Lüst, Ward Vleeshouwers

    Pages 63-65

19. Solitons in String Theory

    • Dieter Lüst, Ward Vleeshouwers

    Pages 67-70

20. Brane Solutions

    • Dieter Lüst, Ward Vleeshouwers

    Pages 71-75

Based on Prof. Lüst's Masters course at the University of Munich, this book begins with a short introduction to general relativity. It then presents black hole solutions, and discusses Penrose diagrams, black hole thermodynamics and entropy, the Unruh effect, Hawking radiation, the black hole information problem, black holes in supergravity and string theory, the black hole microstate counting in string theory, asymptotic symmetries in general relativity, and a particular quantum model for black holes. The book offers an up-to-date summary of all the pertinent questions in this highly active field of physics, and is ideal reading for graduate students and young researchers.

• Black hole information problem
• Introduction to General relativity
• String theory in cosmology
• Quantum field theory in curved space-times
• Penrose diagrams
• Microstate counting
• Supertranslations
• BMS-symmetries,
• Hawking radiation
• Bekenstein entropy
• Black hole thermodynamics

• Arnold-Sommerfeld-Center, Ludwig-Maximilians-Universitaet, Munich, Bavaria, Germany

  Dieter Lüst

• Institute for Theoretical Physics, Utrecht University, Utrecht, The Netherlands

  Ward Vleeshouwers

D. Lüst is professor for Theoretical Physics at the Ludwig-Maximilian University in Munich (chair Mathematical Physics) and Director of the Max Planck Institute for Physics in Munich. His work focuses on string theory as an attempt to unify General Relativity and Quantum Mechanics, and more specifically on duality symmetries, black holes, models for quantum space-time, string model building and extended theories of gravity. For his work he received the Gottfried Wilhelm Leibniz-Preis of the German-Research-Foundation (DFG) in 2000, as well as an Advanced Research Grant of the European Research Council in the year 2012. 


Ward Vleeshouwers is currently doing a joint PhD at the universities of Amsterdam and Utrecht on topological condensed matter physics and string theory. In preparation for his master thesis on BMS-symmetries and the black hole S-matrix under supervision of Prof. Gerard 't Hooft, he took a course on black hole thermodynamics during an exchange semester in Munich, which eventually resulted in the writing of this book. 

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