Theoretical and Mathematical Physics

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PH2043: General Relativity and Cosmology

The module covers the following topics: 

  • Introduction to differential geometry.
  • The equivalence principle. Gravitation. The Einstein’s equation. Newtonian limit.
  • The Schwartzschild Metric. Black holes.
  • The weak field approximation. Gravitational waves.
  • Cosmology: Homogeneity and isotropy, Robertson-Walker metric.
  • Friedmann Equation. Hubble parameter. The expanding Universe.

Learning Outcome
After participation in the Module the student is able to:

  • Understand the origin of gravity as the effect of the curvature of spacetime.
  • Describe the classical experimental tests of general relativity: the deflection of light, the precession of perihelia and gravitational redshift.
  • Understand the basic physics of black holes.
  • Understand the basic properties of gravitational waves.
  • Describe the different stages of the expanding Universe and derive the Hubble’s law.
  • Winter Semester
  • TUM