Course: Mathematical Foundations of the General Theory of Relativity II

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Course title Mathematical Foundations of the General Theory of Relativity II
Course code MU/03257
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • MARVAN Michal, doc. RNDr. CSc.
Course content
Vacuum Einstein equations, Schwarzschild solution. Ernst equation, solution methods, Kerr solution. Petrov classification. Maxwell-Einstein-Hodge theory of elektromagnetic field.

Learning activities and teaching methods
unspecified
Recommended literature
  • J. K. Beem, P. E. Ehrlich, K. L. Easley. Global Lorentzian geometry. Marcel Dekker, New York, 1996.
  • J. Novotný. Natural Variational Principles in Physics. Silesian University, Opava, 1998.
  • M. Kriele. Spacetime: Foundations of General Relativity and Differential Geometry. 1999. ISBN 978-3540663775.
  • S. W. Hawking, G. F. R. Ellis. The large scale structure of space-time. Cambridge University Press, 1973.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Geometry and Global Analysis (1) Mathematics courses 1 Summer
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 4 Summer
Mathematical Institute in Opava Mathematical Analysis (1) Mathematics courses 1 Summer