MU:MU08104 General Relativity I - Course Information
MU08104 General Relativity I
Mathematical Institute in OpavaWinter 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
- Mathematical Physics (programme MU, N1101)
- 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
- Differential geometry of fiber bundles
- 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.
- Enrolment Statistics (recent)
- Permalink: https://is.slu.cz/course/sumu/winter2011/MU08104