MU03257 Mathematical Foundations of the General Theory of Relativity II

Mathematical Institute in Opava
Summer 2012
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Marvan, CSc. (lecturer)
RNDr. Adam Hlaváč, Ph.D. (seminar tutor)
doc. RNDr. Michal Marvan, CSc. (seminar tutor)
Guaranteed by
doc. RNDr. Michal Marvan, CSc.
Mathematical Institute in Opava
Prerequisites (in Czech)
MU03256 General Relativity I
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 tools and methods of use in General Theory of Relativity.
Syllabus
  • Vacuum Einstein equations, Schwarzschild solution.
    Ernst equation, solution methods, Kerr solution.
    Petrov classification.
    Maxwell-Einstein-Hodge theory of elektromagnetic field.
Literature
    recommended literature
  • M. Kriele. Spacetime: Foundations of General Relativity and Differential Geometry. 1999. ISBN 978-3540663775. info
  • J. Novotný. Natural Variational Principles in Physics. Silesian University, Opava, 1998. info
  • J. K. Beem, P. E. Ehrlich, K. L. Easley. Global Lorentzian geometry. Marcel Dekker, New York, 1996. info
  • S. W. Hawking, G. F. R. Ellis. The large scale structure of space-time. Cambridge University Press, 1973. 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 examination.
The course is also listed under the following terms Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019.
  • Enrolment Statistics (Summer 2012, recent)
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