This project visualizes the curvature of spacetime around a massive object using a Schwarzschild metric approximation. The program generates a series of plots that depict how spacetime is warped by varying Schwarzschild radii, then combines these images into a GIF to illustrate the dynamic effect of increasing mass on spacetime curvature.
spacetime_curvature.py: Main Python script that generates the plots.to_gif.py: Auxiliary Python script that converts the series of images into a GIF.output/: Directory containing the generated images and final GIF.
To run the project, simply execute the script main.py. This will generate a series of images in the output/ directory and compile these images into a GIF named spacetime_curvature.gif:
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Transformation Function: The script defines a function
transform_coordinatesthat models the bending of spacetime. It takes Cartesian coordinates and a Schwarzschild radius as input and outputs transformed coordinates based on the spacetime curvature effect. -
Image Generation: For each frame, the script calculates the transformed grid for a given Schwarzschild radius and saves the resulting plot as an image.
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GIF Creation: After all images are generated, they are compiled into a GIF using the
to_giffunction, which sequences the images based on the order of the Schwarzschild radius.
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Schwarzschild Radius Range: You can adjust the
max_radiusandframesvariables to change the range of the Schwarzschild radius and the number of frames in the GIF, respectively. -
Grid Resolution: Modify the
widthvariable to change the resolution of the grid.
The final output is a GIF animation that shows how spacetime curvature intensifies as the Schwarzschild radius increases, representing an increasing mass of the central object.
Contributions to this project are welcome. Feel free to fork the repository and submit pull requests.
This project is open-sourced under the MIT License. See the LICENSE file for more details.