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Ray-traced Schwarzschild black hole with a thin accretion disk, its far side lensed over and under the shadow, Doppler-brightened on the approaching side, in front of a lensed star field

General Relativity

I attended the lecture on General relativity by Prof. Björn Schäfer at Heidelberg University in the summer of 2015.

Below are solutions to the exercises and the mock exam.

Exam material

Exam sheet Exam sheet

Mock exam Mock exam

Exercises

Exercise 1 Exercise 1

Exercise 2 Exercise 2

Exercise 3 Exercise 3

Exercise 4 Exercise 4

Exercise 5 Exercise 5

Exercise 6 Exercise 6

Exercise 7 Exercise 7

Exercise 8 Exercise 8

Exercise 9 Exercise 9

Exercise 10 Exercise 10

Exercise 11 Exercise 11

Exercise 12 Exercise 12

Exercise 13 Exercise 13

Solution 1 Solution 1

Solution 2 Solution 2

Solution 3 Solution 3

Solution 4 Solution 4

Solution 5 Solution 5

Solution 6 Solution 6

Solution 7 Solution 7

Solution 8 Solution 8

Solution 9 Solution 9

Solution 10 Solution 10

Solution 11 Solution 11

Solution 12 Solution 12

Solution 13 Solution 13