TensorGeodesic
Ray tracing of a Schwarzschild black hole written entirely in TensorFlow.
Dependencies:
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Python 3
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TensorFlow 2.x
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numpy
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matplotlib
About
The Schwarzschild metric is currently implemented, with Christoffel symbols computed via automatic differentiation by tf.GradientTape.batch_jacobian. Geodesics from the observer are integrated using the classic fourth Runge-Kutta method (RK4).
Since the program is written in TensorFlow, it is fully differentiable and supports arbitrary CPU/GPU systems. In particular, it works on my M1 Max MacBook Pro.
Tested on TensorFlow 2.7.0, with Apple’s tensorflow-metal 0.3.0 plugin (!!!)
