Dozent: Folkert Müller-Hoissen

Vorlesung: Allgemeine Relativitätstheorie II (General Relativity II)

Zeit: SS2004, Do 9-11

Ort: Seminarraum SR3, Theoretische Physik

Zielgruppe: Studenten Physik/Mathematik ab 5. Semester

This course presents material of General Relativity in essentially independent sections. A basic knowledge of General Relativity is required. The first lecture presents a summary of what is needed.

Depending on the audience, the lectures will be held in English. Upon request an evaluation will be arranged (3 points according to ECTS).

So far we treated the following topics:
  1. Summary of GR
    1. Mathematical model
    2. Relation with physics
  2. How to understand Einstein's equations
    1. Initial value problem for the vacuum equations
      Reference: R. Wald, General Relativity, chapter 10
  3. Variational principle: Einstein-Hilbert and Maxwell action
  4. Isometries and Killing vector fields
    Reference: S. Weinberg, Gravitation and Cosmology, chapter 13
  5. Maximally symmetric spaces
    1. Maximally symmetric spaces in 3 dimensions
    2. de-Sitter and anti-de Sitter space-time
  6. Cosmology
    1. Curvature computation for cosmological models
    2. Spatially homogeneous and isotropic cosmologies in Einstein's theory
    3. ... with cosmological constant
    4. Particle horizons
    5. Redshift in an arbitrary gravitational field
    6. Redshift and Hubble law
    7. Distance measurements in cosmology
    8. Current status of cosmological data
  7. Photons, gravitons and gravitational waves
    1. Photons
    2. Gravitational waves and gravitons (in linearized Einstein theory)
  8. Orthonormal frame fields and (Dirac) spinors

Last update: 15 July 2004