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URL study guide

https://tue.osiris-student.nl/onderwijscatalogus/extern/cursus?cursuscode=3ERX0&collegejaar=2025&taal=en

Description

Geometry of curved spacetime. General relativity and gravitation. Schwarzschild spacetime. Black holes. Gravitational waves. Relativistic cosmology.

Objectives

  • Being able to do calculus with four-vectors and tensors in a four-dimensional pseudo-Riemannian space.
  • Being able to do absolute and covariant differentiations.
  • Being able to evaluate the metric properties of a non-Euclidean space, which is defined by a given metric tensor, by calculating the affine connections and the curvature tensors.
  • Being able to determine the geodesics of such a space for mass and light particles.
  • Being able to manipulate with the Schwarzschild metric and from this metric to evaluate time dilatations and general particle trajectories.
  • Being able to assess the concept of a black hole.
  • Starting from this being able to calculate general particle trajectories.

Method of Assessment

Written examination
Course period1/09/1331/08/26
Course levelAdvanced
Course formatCourse