2022-2023 / SPAT0012-2

General relativity, Part 2: Mathematics methods

Duration

20h Th

Number of credits

 Master in mathematics (120 ECTS)3 crédits 
 Master in physics (120 ECTS)2 crédits 
 Master in space sciences (120 ECTS)2 crédits 
 Master in mathematics (60 ECTS)3 crédits 
 Master in physics (60 ECTS) (Registrations are closed)2 crédits 

Lecturer

N...

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

THIS COURSE WILL NOT BE ORGANIZED IN 2021-2022.
 
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, hybrid learning)

Face-to-face.

Recommended or required readings

- Lecture notes (in french);
- Bernard F. Schutz, « A first course in general relativity », second edition, Cambridge University Press, 2009.

Written exam in January.

Work placement(s)

None.

Organizational remarks

Contacts

Yves De Rop
Département d'astrophysique, de géophysique et d'océanographie
Allée du 6 août, 17
Bâtiment B5a, bureau R/8
4000 - Liège
Y.DeRop@uliege.be

Association of one or more MOOCs

Items online

General Relativity
Lecture notes for the course SPAT0012 (in french).