MU08104 General Relativity I

Mathematical Institute in Opava
Winter 2011
Extent and Intensity
4/2/0. 10 credit(s). Type of Completion: zk (examination).
Guaranteed by
prof. RNDr. Artur Sergyeyev, Ph.D., DSc.
Mathematical Institute in Opava
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
Mathematical foundations and the basics of general relativity
Syllabus
  • Differential geometry of fiber bundles
    Tensor fields on smooth manifolds, their derivatives and integration
    Connections on fibered bundles, their curvature, geodesics, and torsion
    Lorentzian manifolds, global and causal structure thereof
    Variational principles of general relativity
Literature
    recommended literature
  • S. Caroll. Lecture Notes on General Relativity. URL info
  • D. Krupka. Matematické základy OTR. info
  • C. Isham. Modern Differential Geometry for Physicists. Singapore, 1999. info
  • S. W. Hawking, G. F. R. Ellis. The large scale structure of space-time. Cambridge University Press, 1973. info
  • S. Kobayashi, K. Nomizu. Foundations of Differential Geometry, Vol I. Interscience Publishers, New York, 1969. info
  • S. Kobayashi, K. Nomizu. Foundations of Differential Geometry, Vol II. Interscience Publishers, New York, 1969. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Oral exam; further requirements to be specified in the course of the semester.
The course is also listed under the following terms Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2010.
  • Enrolment Statistics (recent)
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