Cosmic topology
0800-WZAT-3
space as a 3-manifold: curvature + topology
curvature and the metric, the role of the Einstein-Hilbert equations in hot big bang cosmology
comoving coordinates, scale factor, local cosmological parameters, Friedman equation, fluid equation, acceleration equation
multiply connected 3-manifold, fundamental domain, apparent space
3-dimensional empirical approaches
2-dimensional empirical approaches: identified circles principle, cosmic microwave background
topological acceleration
beyond the FLRW model: the Earth exists
Total student workload
time with lecturer: 20 h
- time on individual work required for effective evaluation of the course: 20 h
- time for preparation and participation in course assessment: 20 h
- time for obligatory laboratory work: 0h
Learning outcomes - knowledge
K_W01 - has deeper knowledge in areas of physics closely related to astronomy; K_W03 - knows physical processes of stars, galaxies, the interstellar medium and the intergalactic medium, has deeper knowledge of the formation and evolution of planetary systems, stars, galaxies and the Universe; K_W06 - familiarised him/herself with state-of-the-art research in astrophysics, and in particular in the chosen field
Learning outcomes - skills
K_U04 - is aware of the links between modern research about the Universe with the development of fundamental physics; K_U08 - is competent in English at the level needed for reading and understanding scientific and technical documents, instructions, desecriptions of equipment and software, and consistently with the requirements defined at level B2+ in the European System Describing Language Education
Learning outcomes - social competencies
K_K01 - knows the limits of own knowledge and understands the need for further education
Teaching methods
lectures, exercises, calculations, analogies
Expository teaching methods
- participatory lecture
- informative (conventional) lecture
Prerequisites
elementary algebra; calculus; three-dimensional Euclidean geometry; Newtonian physics;
Course coordinators
Assessment criteria
Form of the exam: to be negotiated.
Additional information
Additional information (registration calendar, class conductors,
localization and schedules of classes), might be available in the USOSweb system: