Syllabus for Gravitation and Cosmology

Gravitation och kosmologi

A revised version of the syllabus is available.

Syllabus

  • 10 credits
  • Course code: 1FA157
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Physics A1F

    Explanation of codes

    The code indicates the education cycle and in-depth level of the course in relation to other courses within the same main field of study according to the requirements for general degrees:

    First cycle

    • G1N: has only upper-secondary level entry requirements
    • G1F: has less than 60 credits in first-cycle course/s as entry requirements
    • G1E: contains specially designed degree project for Higher Education Diploma
    • G2F: has at least 60 credits in first-cycle course/s as entry requirements
    • G2E: has at least 60 credits in first-cycle course/s as entry requirements, contains degree project for Bachelor of Arts/Bachelor of Science
    • GXX: in-depth level of the course cannot be classified

    Second cycle

    • A1N: has only first-cycle course/s as entry requirements
    • A1F: has second-cycle course/s as entry requirements
    • A1E: contains degree project for Master of Arts/Master of Science (60 credits)
    • A2E: contains degree project for Master of Arts/Master of Science (120 credits)
    • AXX: in-depth level of the course cannot be classified

  • Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
  • Established: 2010-03-18
  • Established by: The Faculty Board of Science and Technology
  • Revised: 2015-04-20
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: Autumn 2015
  • Entry requirements: 120 credits with Quantum Physics, Statistical Mechanics, Analytical Mechanics and Special Relativity.
  • Responsible department: Department of Physics and Astronomy

Learning outcomes

After completing the course the student shall be able to

  • explain and describe the equivalence principle,
  • explain the concept of a metric and solve geodesic equations,
  • analyse and solve Einstein's equations for many situations,
  • explain what a black hole is and describe its properties,
  • describe the concepts within the standard cosmological model, such as the expanding universe, the cosmic microwave background radiation, dark matter as well as inflation.

Content

The course is an introduction to general relativity with applications to cosmology. Connections with modern research are emphasised throughout the course in order to bring the student up to date with the scientific frontline.
The first part of the course introduces general relativity; its mathematical basis in the form of Einstein's equations and the mathematics of curved space-time, metrics, curvature tensors and geodesics; the equivalence principle; classical tests of the theory such as the bending of light and the precession of the perihelion of Mercury; gravitational waves. The mathematical description of black holes in the form of the Schwarzchild metric with an analysis of its horizon and singularity. Kerr and Reissner-Nordström black holes.
The course's second part treats applications within cosmology. The mathematical description of the Robertson-Walker metric, the Big Bang, the expanding universe with a cosmological constant, dark matter, the cosmic microwave background radiation and inflation will be analysed and discussed.

Instruction

Lectures and lessons.

Assessment

Written examination at the end of the course combined with continuous examination.

Reading list

Reading list

Applies from: Autumn 2015

Some titles may be available electronically through the University library.

  • Cheng, Ta-Pei Relativity, Gravitation and Cosmology

    Oxford University Press,

    Find in the library

  • Schutz, B. A First Course in General Relativity

    second edition: Cambridge University Press,

    Find in the library

    Mandatory

  • Carroll, Sean M. Spacetime and geometry : an introduction to general relativity

    New international edition: Harlow: Pearson, 2014

    Find in the library