SageMath notebooks associated to the Black Hole Lectures (https://luth.obspm.fr/~luthier/gourgoulhon/bh16)
Numerical values
This Jupyter/SageMath worksheet is relative to the lectures Geometry and physics of black holes.
Click here to download the worksheet file (ipynb format). To run it, you must start SageMath with the Jupyter notebook, with the command sage -n jupyter
Physical constants
Values of the fundamental constants in SI units (taken from the Particle Data Group (2017)):
The solar mass in SI units:
The Planck mass in kg:
The solar mass in meters:
The solar mass in seconds:
The astronomical unit (au) in SI units:
A sample of black holes masses
Masses in :
Schwarzschild radii:
Free fall in a Schwarzschild black hole
Proper time to reach the singularity starting from rest at the ISCO:
Proper time to reach the horizon starting from rest at the ISCO:
Time spent into the black hole: