| Area of Mathematics: | Physics (EPh) |
||
| Semester: | 8o | ||
| Course ID: | 82502 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | |||
| Instructors: | |||
Description
- Special theory of relativity, Lorentz transformations, Minkowski spacetime.
- Differentiable manifolds and curved spacetime. Tensors and manifolds.
- Christoffel symbols , covariant derivative, metric tensor, geodesics, curvature of two-dimensional and three-dimensional space.
- Geometry of four-dimensional space-time. Riemann curvature tensor. Equivalence principle. Newtonian limit.
- Energy-momentum tensor. Conservation laws and energy-momentum pseudo-tensor.
- Einstein field equations. Energy conditions. Weak gravitational fields. Classic tests/experiments of the General Theory of Relativity.
- Spherically symmetric spacetime. Schwarzschild solution and Birkhoff theorem. Schwarzschild black holes. Reissner-Nordström solution. Spacetime singularities.
- Axially symmetric spacetimes. Kerr-Newman solution and rotating black holes. Geodesics of Kerr-Newman spacetime.
- The Friedmann-Lemaitre-Robertson-Walker metric.
- Gravitational waves.
Bibliography
- General Relativity: A First Course for Physicists (Prentice Hall International Series in Physics and Applied Physics) by J. L. Martin
- Martin: General Relativity-a Guide to Its Consequences for Gravity & Cosmology by J. L. Martin
