General Relativity and Cosmology

The module description from the syllabus is available here.

Groups

Group	Time	Place	Tutor
Group 1	Monday, 10:15 - 12:00	Room 0.033 (former room 2), AVZ	Nana Geraldine Cabo Bizet
Group 2	Tuesday, 17:15 - 19:00	Room 0.022 (former room 17), AVZ	Fabian Rühle
Group 3	Wednesday, 10:15 - 12:00	Room 1.025 (former room 116), AVZ	Damián Kaloni Mayorga Peña

Exercise sheets

No	Exercise sheet
00	Lorentz boosts, Maxwell equations, and Energy-Momentum Tensor
01	4-vectors, Metrics, and Minkowski Diagrams
02	Energy-Momentum Tensor, Coordinate Charts, Manifolds, Newtonian Gravity
03	Lagrange Formalism and Christoffel Symbols
04	Lie Derivative and Killing vectors
05	Riemann Normal Coordinates, Geodesics, and Hodge Duality
06	Vielbeins and Holonomy
07	Riemann Tensor and Bianchi Identities
08	Noether Theorem and Energy-Momentum Tensor II
09	Hydrodynamics
10	Einstein Equation and Schwarzschild Geometry
Mock exam	Mock Exam

Requirements for final exam

In order to be admitted to the final exam the following requirements have to be met:

• Active participation in the tutorials
• Solutions to the exercises have to be presented at least twice in the tutorials
• Approx. 50% of the credits from all exercise sheets

Prerequesites

Theoretical Physics I and II, Basic Lectures in Mathematics

Contents

• Special Relativity (recap)
• Riemannian Geometry
• Einstein's Equation
• Linearised Gravity
• Gravitational Collapse and Black Holes
• Cosmology

Literature

• Sean M. Carroll: Lecture Notes on General Relativity
  arXiv:gr-qc/9712019
• H. Stephani: General Relativity
  (Cambridge University Press), also available in German from publisher DVW
• L.D. Landau and E.M. Lifshits: Course of Theoretical Physics, Volume 2: Classical Theory of Fields
  (Butterworth-Heinemann), also available in German from publisher Harry Deutsch
• P.K. Townsend: Black Holes
  arXiv:gr-qc/9707012