Course Information
In this web page we provide the syllabus of the course General Relativity and Gravity, offered by the Department of Physics.
The list of the courses offered during the current accademic year is available here.
The list of all courses offered by the Department of Physics is available here.
| Code | Φ-533 |
|---|---|
| Title | General Relativity and Gravity |
| Category | B |
| ECTS | 5 |
| Hours | 5 |
| Level | Graduate |
| Semester | Winter |
| Teacher | A. Porfyriadis |
| Program |
Monday 11:00-13:00, Room 1 Wednesday 11:00-13:00, Room 1 |
| Course Webpage | https://eclass.physics.uoc.gr/courses/PH533/ |
| Goal of the Course | The course is intended for graduate students as well as for undergraduates with the proper background. The basic aim of the course is to present the general theory of relativity and gravity with applications and possible extensions of the theory. |
| Syllabus |
Geometric viewpoint on flat space physics, Special Relativity Space-time interval, Lorentz transformations, Vectors and dual vectors (one-forms), Tensors, Maxwell’s equations Riemannian geometry Manifolds, The metric, Parallel transport and Christoffel symbols, Geodesics, Covariant differentiation, The curvature tensor, Geodesic deviation Gravity The Einstein equation, The Equivalence Principle, The Newtonian limit, Gravitational redshift, Lagrangian formulation, Including matter: the energy-momentum tensor, The cosmological constant, Energy conditions Gravitational waves Perturbation theory, Gauge transformations, The transverse-traceless gauge, The polarization of gravitational waves, Quadrupole moment, Energy and momentum carried by waves, Detection of gravitational waves The Schwarzschild solution Derivation of the Schwarzschild metric, Birkhoff’s theorem, Geodesics of Schwarzschild, Experimental tests, Coordinate and curvature singularities Black Holes The Schwarzschild black hole, Maximally extended Kruskal solution, Killing and event horizons, Charges of spacetimes: mass, angular momentum, electric charge, The Vaidya metric, Reissner-Nordstrom black holes, Kerr black holes, Penrose process, Black hole thermodynamics Advanced topics Causal structure and Penrose diagrams, Elements of Quantum Field Theory in flat and curved spacetime, The Unruh effect, Hawking radiation, Bekenstein-Hawking entropy/area law |
| Bibliography |
The main textbook of the course is:
|
