MU:MU03257 General Relativity II

MU03257 Mathematical Foundations of the General Theory of Relativity II

Mathematical Institute in Opava
Summer 2011

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

Guaranteed by

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

there are 7 fields of study the course is directly associated with, display

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.