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FY812: General relativity and cosmology (5 ECTS)

STADS: 07006301

Level
Master's level course

Teaching period
The course is offered in the spring semester.

Teacher responsible
Email: sloth@cp3.dias.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Monday 12-14 U44 17
Common I Monday 12-14 U10 18
Common I Monday 10-12 U10 19-20
Common I Monday 12-14 U13 22
Common I Tuesday 10-12 U153 16
Common I Tuesday 14-16 U44 17
Common I Tuesday 14-16 U10 18
Common I Tuesday 10-12 U10 19
Common I Tuesday 12-14 U10 20-21
Common I Tuesday 12-14 U13 22
Common I Wednesday 10-12 U144 16
Common I Wednesday 12-14 U17 17
Common I Wednesday 12-14 U10 21
Common I Thursday 10-12 U10 20
H1 TE Wednesday 14-16 T9 18
H1 TE Wednesday 10-12 U13 22
H1 TE Thursday 10-12 U44 16-17
H1 TE Thursday 10-12 U10 19
H1 TE Friday 14-16 U10 20
H1 TE Friday 10-12 U13 21
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Prerequisites:
None

Academic preconditions:
A knowledge of special relativity and quantum mechanics.

Course introduction
The student should after the course be able to understand the research literature in general relativity and cosmology and perform calculations and solve problems in the fields of general relativity and cosmology. This is important in order to be able to understand the Universe's origin, evolution and fate and ultimately answer the big questions about our own origin, but also for applications in satellite technology and aerospace.

In relation to the course FY817: Introduction to Astrophysics and Cosmology, this course goes beyond the descriptive introduction In cosmology in the course FY817, and gives the student the basis in general relativity to calculate and solve problems in cosmology, providing a deeper and more fundamental introduction to cosmology.

The course provides a scientific basis for making a master thesis in theoretical physics / cosmology, located later in the program.

In relation to the competence profile, the course explicit focus on:
  • Provide skills to make analytical and numerical calculations in general relativity and cosmology.
  • Give competence to understand complex scientific theories and basic physical properties of the universe.
  • Provide skills in calculating and analyzing complex problems and critically evaluate scientific theories.
  • Provide knowledge of key concepts of general relativity and cosmology.


Expected learning outcome
After completing the course the student is expected to:
  • Explain knowledge of general relativity
  • Explain and discuss the basic phenomena in cosmology
  • Solve problems in general relativity and cosmology, including problems related to space, black holes, and the evolution of the universe.
  • Describe the evolution of the early Universe.
Subject overview
General relativity: equivalence principle, covariant and contravariant tensors, curvature tensor, Einstein's equation, Black Holes, FRW metric.
 
Cosmology: Hubble redshift and microwave background radiation, cosmological models, the early Universe.
 
Literature 
Ta-Pei Cheng: Relativity, Gravitation and Cosmology -- A Basic Introduction, second edition 2010, Oxford University Press.
 
Lecture notes
 


Literature
  • Ta-Pei Cheng: Relativity, Gravitation and Cosmology -- A Basic Introduction, second edition 2010, Oxford University Press.


Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Oral exam. Danish 7 mark scale, internal examiner (5 ECTS). (07006302).


Expected working hours
The teaching method is based on three phase model.
Intro phase: 32 hours
Skills training phase: 16 hours, hereof:
 - Tutorials: 16 hours

Educational activities
In the study phase, students are expected to work with self-Study of the text book and examples and exercises herein. It also includes written assignments as key elements in the study phase, and students can expect feedback from a teacher. The students are also expected to use part of the study phase to pick up on skill training phase tasks as well as a reserve a small part for repetition up to the written exam.Educational form

Language
This course is taught in English, if international students participate. Otherwise the course is taught in Danish.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.