F7140 General theory of relativity

Faculty of Science
Autumn 2011
Extent and Intensity
2/1. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
prof. Rikard von Unge, Ph.D. (lecturer)
prof. Rikard von Unge, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. Rikard von Unge, Ph.D.
Timetable
Mon 11:00–12:50 MS1,01016, Mon 13:00–13:50 MS1,01016
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 acquinting students with the basics of GR, provide necessary mathematical methods and discuss the applications in modern cosmology.
Syllabus
  • Manifolds, metrics, connections, coordinates, Lie derivatives
  • Geodesics, curvature
  • Einsteins equations, weak field limit
  • Gravitaional waves
  • The Schwarzschild solution
  • Cosmological solutions
Literature
  • Lecture notes on General Relativity od Sean M. Carroll, http://arxiv.org/abs/gr-qc/9712019
  • D'INVERNO, Ray. Introducing Einstein's relativity. Oxford: Clarendon Press, 1992, xi, 383. ISBN 0198596863. info
  • WALD, Robert M. General relativity. Chicago: The University of Chicago, 1984, xiii, 491. ISBN 0226870332. info
  • MISNER, Charles W., Kip S. THORNE and John Archibald WHEELER. Gravitation. San Francisco: W.H. Freeman, 1973, xxvi, 1279. ISBN 0-7167-0344-0. info
Teaching methods
Lectures and homework assignments
Assessment methods
The corse 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 - 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, Autumn 2024.
  • Enrolment Statistics (Autumn 2011, recent)
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