Individual
course details |
Study programme |
Master
studies |
Chosen research area (module) |
Theoretical
and experimental physics |
Nature and level of studies |
|
Name of the course |
General
relativity |
Professor (lectures) |
Marija
Dimitrijević Ćirić |
Professor/associate (examples/practical) |
|
Professor/associate (additional) |
|
ECTS |
10 |
Status
(required/elective) |
elective |
Access requirements |
Electrodynamics
1, Electrodynamics 2, Relativistic quantum mechanics |
Aims of the course |
Introduction
to General relativity: physical concepts and formalism; understanding of
basic principles and acquiring
capability to solve problems. |
Learning outcomes |
Students
have acquired the basic knowledge on General relativity; they understand the
physical concepts and formalism; they are able to take an active part in
research in this and related areas of physics. |
Contents of the course |
Lectures |
1.
Special relativity: review. 2. Manifolds: curvilinear coordinates, vectors,
forms, tensors; differential calculus; diffeomorphisms, Lie derivative,
Killing vectors. 3. Connection and curvature: covariant derivative, metric
connection, geodesics, parallel transport; curvature, torsion. 4. Einstein
equations: derivation, properties, Newtonian limit. 5. Schwarzschild
solution: derivation, properties, event horizon, maximal extension, conformal
diagrams. 6. Experimental tests of General relativity: periheloin of Mercury,
bending of light, gravitational red shift. 7. Linearized theory,
gravitational waves. 8. Basic cosmology: RW metric, Friedman equations and
different cosmological models. |
Examples/ practical classes |
Problems
are solved and examples are given during the lectures; students have homework
to do. |
Recommended books |
1 |
S. M.
Carroll, An Introduction to General Relativity: Spacetime and Geometry,
Addison Wesley 2004. |
2 |
B.
Schutz, A First Course in General Realtivity, Cambridge University Press
2009. |
3 |
R.
d'Inverno, Introducing Einstein’s Relativity, Oxford University Press, 1992. |
4 |
A.P.Lightman,
W.H.Press, R.H.Price and S.A. Teukolsky, Problem Book in Relativity and
Gravitation, Princeton, 1975. |
5 |
C.W.Misner,
K.S.Thorne and J.A.Wheeler, Gravitation, Freeman Press, San Francisco, 1973. |
Number of classes (weekly) |
Lectures |
Examples&practicals |
|
Student
project |
Additional |
6 |
|
4 |
|
|
Teaching and learning methods |
Lectures,
homeworks. |
Assessment (maximal 100) |
assesed coursework |
mark |
examination |
mark |
coursework |
10 |
written
examination |
80 |
practicals |
|
oral
examination |
|
papers |
|
|
|
presentations |
10 |
|
|
|
|
|
|
|
|