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SageMath worksheets

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

Each worksheet 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 worksheets can be downloaded in a single directory from the GitHub repository. They are also accessible at SageMathCloud.

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

            sage -n jupyter
        

• Schwarzschild horizon [ipynb] [at SageMathCloud]
• Conformal completion of Minkowski spacetime [ipynb] [at SageMathCloud]
• Black hole formation in Vaidya spacetime [ipynb] [at SageMathCloud]
• Solving Einstein equation: Kottler solution [ipynb] [at SageMathCloud]
• Radial null geodesics in Schwarzschild spacetime [ipynb] [at SageMathCloud]
• Kruskal-Szekeres coordinates in Schwarzschild spacetime [ipynb] [at SageMathCloud]
• Carter-Penrose diagram of Schwarzschild spacetime (based on Frolov-Novikov coordinates) [ipynb] [at SageMathCloud]
• Standard (singular) Carter-Penrose diagram of Schwarzschild spacetime [ipynb] [at SageMathCloud]
• Einstein-Rosen bridge in Schwarzschild spacetime [ipynb] [at SageMathCloud]
• Lemaître-Tolman gravitational collapse [ipynb] [at SageMathCloud]
• Kerr metric as a solution of Einstein equation [ipynb] [at SageMathCloud]
• Kerr spacetime in 3+1 Kerr coordinates [ipynb] [at SageMathCloud]

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Éric Gourgoulhon / 2017-05-12