| 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 | |||