Study Programmes 2015-2016
| SPAT0012-2 | ||
| General relativity, Part 2: Mathematics methods | ||
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Duration :
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| 20h Th | ||
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Number of credits :
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Lecturer :
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| Yves De Rop | ||
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Language(s) of instruction :
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| French language | ||
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Organisation and examination :
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| Teaching in the first semester, review in January | ||
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Units courses prerequisite and corequisite :
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| Prerequisite or corequisite units are presented within each program | ||
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Course contents :
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| 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. |
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Learning outcomes of the course :
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| 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). | ||
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Prerequisite knowledge and skills :
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| Course SPAT0012-1 | ||
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Planned learning activities and teaching methods :
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| None. | ||
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Mode of delivery (face-to-face ; distance-learning) :
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| Face-to-face. | ||
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Recommended or required readings :
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| - Lecture notes; - Bernard F. Schutz, « A first course in general relativity », second edition, Cambridge University Press, 2009. | ||
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Assessment methods and criteria :
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| Written exam in January. | ||
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Work placement(s) :
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| None. | ||
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Organizational remarks :
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| None. | ||
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Contacts :
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| 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 |
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Items online :
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 | Relativité générale (2015) Syllabus for the course SPAT0012 (in french). |
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