Module MA4802-KP05
Theory of Relativity (RelaThKP05)
Duration
1 Semester
Turnus of offer
irregularly
Credit points
5
Course of studies, specific fields and terms:
- Master CLS 2023, optional subject, mathematics
- Bachelor CLS 2023, optional subject, mathematics
- Master CLS 2016, optional subject, mathematics
- Bachelor CLS 2016, optional subject, mathematics
Classes and lectures:
- Theory of Relativity (lecture, 2 SWS)
- Theory of Relativity (exercise, 1 SWS)
Workload:
- 15 hours exam preparation
- 60 hours private studies
- 45 hours in-classroom work
- 30 hours work on project
Contents of teaching:
- Part A, Special Relativity:
- Classical space time references system and Newton laws
- Electrodynamics, Lorentz and Minkowsky geometry
- Hyperbolic geometry und trigonometry
- Time-like, space-like and light cone
- Relativistic kinematics
- Simultaneity and velocity addition
- Length contraction and time dilatation
- Twin paradox
- Mass and energy relativistic
- Part B, General Theory of Relativity:
- Four-dimensional space time as a manifold
- Christoffel symbols, curvature tensor, covariant derivative
- Coupling of matter and fields with geometry by the Einstein equation
- Equivalence principle for mass
Qualification-goals/Competencies:
- Getting familiar with concepts and gaining competencies on special and general relativity
- Extension of the mathematic and physical background for different applications to develop problem solving strategies
- Getting familiar with Mathematica in the considered field
- Developing competencies for self-sufficient problem solving of tasks on the theory of relativity
- Gaining experience in project work in the field
Grading through:
- exercises, project, oral or written exam
Responsible for this module:
Literature:
- Baumann, G. : Mathematica for Theoretical Physics. Part 1: Classical Mechanics and Nonlinear Dynamics. Part 2: Electrodynamics, Quantum Mechanics, General Relativity, and Fractals Springer 2005
- Goenner, H. : Spezielle Relativitätstheorie und die klassische Feldtheorie Spectrum 2003
- Gray A., Abbena, E. and Salomon, S. : Modern Differential Geometry of Surfaces with Mathematica. Studies in Advanced Mathematics Chapman and Hall 2006
- Haken, H. und Wolf, H. Ch. : Atom- und Quantenphysik. Einführung in die experimentellen und theoretischen Grundlagen Springer 2003
- Hawking, S. W. and Ellis, G. F. R. : The large scale structure of space-time Cambridge Monographs on Mathematical Physics 1973, 2006
- Helgason, S. : Differential Geometry, Lie Groups and Symmetric Spaces. Graduate Studies in Mathematics American Mathematical Society 1978, 2001
- Kobayashi, S. and Nomizu, K. : Foundations of Differential Geometry I, II Interscience Publishers 1963
- Schröder, U. E. : Gravitation. Einführung in die Allgemeine Relativitätstheorie Harri Deutsch 2007
- Weber, H. J. und Arfen, G. B. : Essential Mathematical Methods for Physics Elsevier 2004
- Weil, H. : Raum - Zeit - Materie. Vorlesungen über allgemeine Relativitätstheorie Springer 1923
- Wald, R. M. : General Relativity The University of Chicago Press 1984
Language:
- offered only in German
Notes:
Admission requirements for taking the module:- None (The competencies of the modules listed under 'Requires' are needed for this module, but are not a formal prerequisite)
Admission requirements for participation in module examination(s):
- Successful completion of homework assignments as specified at the beginning of the semester
Module exam(s):
- MA4801-L1: Theory of Relativity, written exam (90 min) or oral exam (30 min), 100 % of module grade
Last Updated:
22.02.2022