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SageMath notebooks

These SageMath notebooks are based on the SageManifolds project and are in the Jupyter format.

Each notebook can be viewed in the browser by clicking on its name in the list below and can be downloaded by clicking on the [ipynb] link. All notebooks can be downloaded in a single directory from the GitHub repository. They are also accessible at CoCalc.

To run a notebook on your computer, you have to start SageMath with the Jupyter interface by the command

            sage -n jupyter
        

• Schwarzschild horizon [ipynb] [at CoCalc]
• Conformal completion of Minkowski spacetime [ipynb] [at CoCalc]
• Basic computations in Schwarzschild spacetime [ipynb] (Christoffel symbols, Riemann tensor, Kretschmann scalar)
• Solving Einstein equation: Schwarzschild solution [ipynb] [at CoCalc]
• Radial null geodesics in Schwarzschild spacetime [ipynb] [at CoCalc]
• Kruskal-Szekeres coordinates in Schwarzschild spacetime [ipynb] [at CoCalc]
• Carter-Penrose diagram of Schwarzschild spacetime (based on Frolov-Novikov coordinates) [ipynb] [at CoCalc]
• Standard (singular) Carter-Penrose diagram of Schwarzschild spacetime [ipynb] [at CoCalc]
• Einstein-Rosen bridge in Schwarzschild spacetime [ipynb] [at CoCalc]
• Kerr metric as a solution of Einstein equation [ipynb] [at CoCalc]
• Kerr spacetime in 3+1 Kerr coordinates [ipynb] [at CoCalc]

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Éric Gourgoulhon / 2018-07-06