F7140 General theory of relativity

Faculty of Science
Autumn 2024
Extent and Intensity
2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
prof. Rikard von Unge, Ph.D. (lecturer)
prof. Rikard von Unge, Ph.D. (seminar tutor)
Guaranteed by
prof. Rikard von Unge, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. Rikard von Unge, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable
Fri 14:00–16:50 FLenc,03028
Prerequisites
Integration of forms, Electrodynamics and special theory of relativity
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
THe main objectives of the course are acquainting students with the basics of GR, provide necessary mathematical methods and discuss the applications in modern cosmology.
Learning outcomes
After taking the course the student will:
- understand the basics of relativistic physics formulated geometrically;
- be familiar with the basic notions of differential geometry and be able to apply them;
- understand and be able to work with the geodesic equation;
- understand and be able to work with Einstein's equation;
- understand the basics of Black Holes;
- understand the basics of modern relativistic cosmology;
- understand the basics of Gravitational waves;
Syllabus
  • Manifolds, metrics, connections, coordinates, Lie derivatives
  • Geodesics, curvature
  • Einsteins equations, weak field limit
  • Gravitational waves
  • The Schwarzschild solution
  • Cosmological solutions
Literature
    recommended literature
  • Lecture notes on General Relativity od Sean M. Carroll, http://arxiv.org/abs/gr-qc/9712019
    not specified
  • WALD, Robert M. General relativity. Chicago: The University of Chicago, 1984, xiii, 491. ISBN 0226870332. info
  • D'INVERNO, Ray. Introducing Einstein's relativity. Oxford: Clarendon Press, 1992, xi, 383. ISBN 0198596863. info
Teaching methods
Lectures and homework assignments
Assessment methods
The course requirements are composed of two parts. Homework problems during the course and an oral exam at the end.
Language of instruction
Czech
Further Comments
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
Teacher's information
http://physics.muni.cz/~unge
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (recent)
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