PHYS513 GRAVITATION AND COSMOLOGY I
| Course Code: | 2300513 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Physics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. SEÇKİN KÜRKCÜOĞLU |
| Offered Semester: | Once in several years. |
Course Objectives
This course introduces the mathematical and physical foundations of General Relativity and its applications in gravitation and cosmology. Students will develop a solid understanding of spacetime geometry, Einstein’s field equations, and their solutions, including black holes and gravitational waves. Emphasis is placed on variational principles, conservation laws, and the causal structure of spacetime.
Course Content
Spacetime manifold. Causal structure. Lorentzian metric. Tensors on manifolds. Orthonormal frame bundles. Connection and curvature. Einstein equations. Variational methods. Noether's theorem. Conservation laws. Schwarzchild geometry. Kruskal extension. Interior solutions. Formation of black holes. Black hole temperature and entropy. Charged rotating black holes. Gravitational waves.
Course Learning Outcomes
This course introduces the mathematical and physical foundations of General Relativity and its applications in gravitation and cosmology. Students will develop a solid understanding of spacetime geometry, Einstein’s field equations, and their solutions, including black holes and gravitational waves. Emphasis is placed on variational principles, conservation laws, and the causal structure of spacetime.
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | They are competent in the fundamentals of Physics and in the subfield of their thesis work. | ✔ | |||
| 2 | They have necessary skills (literature search, experiment design, project design, etc.) for doing research with guidance of a more experienced researcher. | ✔ | |||
| 3 | They can communicate research results in a proper format (journal article, conference presentation, project report etc.) | ✔ | |||
| 4 | They can learn necessary skills and techniques (theoretical, experimental, computational etc.) on their own. | ✔ | |||
| 5 | They have necessary skills to work as team member in a research group. | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution