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