About this Course

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Advanced Level
Approx. 29 hours to complete
English
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Advanced Level
Approx. 29 hours to complete
English

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National Research University Higher School of Economics

Syllabus - What you will learn from this course

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Week
1

Week 1

3 hours to complete

General Covariance

3 hours to complete
8 videos (Total 76 min), 1 reading, 1 quiz
8 videos
Introduction1m
General covariance12m
Сonstant linear acceleration16m
Transition to the homogeneously accelerating reference frame (or system) in Minkowski space–time8m
Transition to the homogeneously accelerating reference frame in Minkowski space–time (part 2)13m
Geodesic equation8m
Christoffel symbols14m
1 reading
About the University10m
Week
2

Week 2

4 hours to complete

Covariant differential and Riemann tensor

4 hours to complete
9 videos (Total 124 min)
9 videos
Covariant differentiation15m
Parallel transport10m
Covariant differentiation(part 2)9m
Locally Minkowskian Reference System (LMRS)16m
Curvature or Riemann tensor15m
Properties of Riemann tensor13m
Tensors in flat space-time(part 1)21m
Tensors in flat space-time(part 2)13m
Week
3

Week 3

3 hours to complete

Einstein-Hilbert action and Einstein equations

3 hours to complete
6 videos (Total 86 min)
6 videos
Einstein equations19m
Matter energy–momentum (or stress-energy) tensor15m
Examples of matter actions17m
The least action (or minimal action) principle (part 1)11m
The least action principle (part 2)12m
Week
4

Week 4

2 hours to complete

Schwarzschild solution

2 hours to complete
5 videos (Total 55 min)
5 videos
Schwarzschild solution(part 2)17m
Gravitational radius6m
Schwarzschild coordinates7m
Eddington–Finkelstein coordinates11m

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