# Schwarzschild Spacetime Under Generalised Gullstrand–Painlevé Slicing

@article{Maclaurin2018SchwarzschildSU, title={Schwarzschild Spacetime Under Generalised Gullstrand–Painlev{\'e} Slicing}, author={Colin Maclaurin}, journal={Einstein Equations: Physical and Mathematical Aspects of General Relativity}, year={2018} }

We investigate a foliation of Schwarzschild spacetime determined by observers freely falling in the radial direction. This is described using a generalisation of Gullstrand–Painleve coordinates which allows for any possible radial velocity. This foliation provides a contrast with the usual static foliation implied by Schwarzschild coordinates. The 3-dimensional spaces are distinct for the static and falling observers, so the embedding diagrams, spatial measurement, simultaneity, and time at…

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