Study Programmes 2016-2017
SPAT0012-2  
General relativity, Part 2: Mathematics methods
Duration :
20h Th
Number of credits :
Master in mathematics (120 ECTS)3
Master in physics (120 ECTS)2
Master in space sciences (120 ECTS)2
Master in mathematics (60 ECTS)3
Master in physics (60 ECTS)2
Lecturer :
Yves De Rop
Language(s) of instruction :
French language
Organisation and examination :
Teaching in the first semester, review in January
Units courses prerequisite and corequisite :
Prerequisite or corequisite units are presented within each program
Learning unit contents :
We present the mathematical concepts necessary for understanding general relativity.
 
- Tensorial analysis in flat spaces;
- Parallel transport on affine manifolds;
- Definition and properties of the Riemann-Christoffel tensor;
- Bianchi identities;
- Riemannian manifolds.
Learning outcomes of the learning unit :
The learning outcome of the course will be the ability of students to understand the mathematical sense of the Einstein field equations (which will be developed in course SPAT0012-3).
Prerequisite knowledge and skills :
Course SPAT0012-1
Planned learning activities and teaching methods :
None.
Mode of delivery (face-to-face ; distance-learning) :
Face-to-face.
Recommended or required readings :
- Lecture notes; - Bernard F. Schutz, « A first course in general relativity », second edition, Cambridge University Press, 2009.
Assessment methods and criteria :
Written exam in January.
Work placement(s) :
None.
Organizational remarks :
None.
Contacts :
Yves De Rop
Département d'astrophysique, de géophysique et d'océanographie
Allée du 6 août, 17
Bâtiment B5c, bureau -1/2
4000 - Liège

Y.DeRop@ulg.ac.be
Items online :
Relativité générale (2016)
Syllabus for the course SPAT0012 (in french).