General Relativity (SS 07)

Dozent: A. Hebecker , Zeit und Ort: Mo 9-11, Mi 9-11, Philosophenweg 12, Großer Hörsaal

mit Übungen (Mi 11-13 und Mo 16-18, gleicher Ort), Betreuung: C. Lüdeling und A. Braun chrqs bla


Literature:

R.M. Wald: General Relativity, University of Chicago Press, 1984

N. Straumann: General Relativity, Springer, 2004

S.M. Carroll: Spacetime and Geometry, Addison Wesley, 2004

Misner / Thorne / Wheeler: Gravitation, Freeman and Company, 2000

S. Weinberg: Gravitation and Cosmology, John Wiley and Sons, 1972

Landau / Lifschitz: Klassische Feldtheorie, Bd 2 (Lehrbuch der Theoretischen Physik), Akademie Verlag, 1991

Mukhanov / Winitzki: Introduction to Quantum Effects in Gravity, Cambridge University Press (CUP), 2007

Birrell / Davies: Quantum Fields in Curved Space, CUP, 1984

B.S. DeWitt: Quantum Field Theory in Curved Space-Time, Phys. Rept. 19: 295-357, 1975

B.F. Schutz: A First Course in General Relativity, CUP, 1985

B.F. Schutz: Geometrical Methods in Mathematical Physics, CUP, 1980

Göckeler / Schücker: Differential Geometry, Gauge Theories and Gravity, CUP, 1987

Choquet-Bruhat / DeWitt-Morette / Dillard-Bleick: Analysis, Manifolds and Physic, North-Holland Physics Publishing, 1985


Problems:

Problem sheet   No 1   ,   No 2   ,   No 3   ,   No 4   ,   No 5   ,   No 6   ,   No 7   ,   No 8   ,   No 9   ,   No 10   ,   No 11   ,   No 12   ,   No 13   ,   No 14


Notes:

1 - Introduction

2 - Manifolds

3 - Geodesics, Curvature, Einstein-Hilbert Action

4 - Einstein Equations

5 - Cosmology

6 - Differential Forms in General Relativity

7 - The Schwarzschild Solution

8 - Schwarzschild Black Holes

9 - More on Black Holes (Penrose diagrams, charged and rotating black holes)

10 - Quantum Fields in Curved Space

11 - Unruh Effect and Hawking Radiation


Vorlesungsnotizen von David J. Jörg (david.joerg@kaelteschaden.de)