Schedule, syllabus and examination date

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Course content

The course provides the basic knowledge to understand the history and properties of the large scale structures of our Universe. In particular, by numerically solving the Einstein and the Boltzmann equations, one understands how clusters of galaxies and the fluctuations in the cosmic microwave background radiation are formed and what are their main statistical properties.

Learning outcome

  • Knowing the principles and equations of Einstein General Relativity, and being able to solve them for some specific cases.
  • Being able to describe, qualitatively and quantitatively important epochs in the early Universe, such as inflation, recombination and the formation of cosmic microwave background radiation.
  • Knowing how to obtain from the linearly perturbed Einstein equations the equations that describe the formation of structures in the universe, and solve them analytically and numerically.
  • Understanding what are the main statistical observables which can be applied to large scale structure data sets, and from them obtain the main properties of our Universe, and the laws that describe it.
  • Present the results of numerical analysis in a written report.


PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.


Formal prerequisite knowledge

Bachelor degree of the Fysikk, astronomi og meteorologi (bachelor) (being phased out) programme or comparable.

Recommended previous knowledge

Bachelor degree of the Fysikk, astronomi og meteorologi (bachelor) (being phased out) programme, AST4220 – Cosmology I (discontinued). FYS4160 – The General Theory of Relativity may be useful.

Overlapping courses

10 credits overlap with AST5220 – Cosmology II


4 hours of lectures and tutorials each week.


A numerical project assignment with a written report counts 30%, and a final four hour written exam counts 70% of the final grade.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.


The course is given if 3 or more students sign up.

Facts about this course






Every spring


Every spring

Teaching language