Equations used to create this visualization are available in the eq.md file.
Here we visualize the paths of the light that the observer sees.
- Write the correct equations to solve
- Solve system to find geodesics on a plane arround a black hole
- Visualize black hole with fixed background
- Add acretion disk
- Incorporate light intensity variation due to the lenght of its path
- Take into account the angular velocity of the black hole (kerr black hole)
[1] CARROLL, Sean. Spacetime and Geometry: An Introduction to General Relativity. Pearson, 2003.)
[2] James, Oliver and Tunzelmann, Eugénie von and Franklin, Paul and Thorne, Kip S. Gravitational lensing by spinning black holes in astrophysics, and in the movie Interstellar. Classical and Quantum Gravity. 2015.
[3] https://www.youtube.com/watch?v=PjWjZFwz3rQ
[4] https://www.damtp.cam.ac.uk/user/gio10/dad.html