General Relativity

Course description

The course will follow, with significant jumps and omissions, my Lecture Notes (see the link given below).

For further (and as up-to-date as possible) information please consult the webpage GR 2024 of the course.

Prerequisites:

  • Covariant Formulation of Special Relativity (Minkowski Space Geometry, Lorentz Tensor Algebra etc.)
  • Classical Field Theory (Action Principles for Fields)
  • Multivariable Calculus

Contents:

  • Physical and Mathematical Foundations of General Relativity
    • Equivalence Principle
    • Geodesics
    • Tensor Algebra and Tensor Calculus
    • Riemannian Geometry and Curvature Tensor
    • Physics in a Gravitational Field
    • Einstein Equations and Einstein-Hilbert Action
  • Selected Applications
    • Solar System Tests of General Relativity
    • Black Holes
    • Basics of Cosmology