Abstract
In continuing our studies of temporal slicings of spacetimes, we consider the collapse from rest of an initially homogeneous dust sphere, known as Oppenheimer-Snyder collapse. It is shown that in the case of harmonic slicing the whole spacetime becomes covered by slices extending to spatial infinity in contrast to maximal slicing. The behavior of the lapse function is discussed, especially for various data on the initial slice, and it is demonstrated that not every choice of the initial lapse leads to meaningful slicings.
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Geyer, A., Herold, H. Slicing the Oppenheimer-Snyder Collapse: Harmonic versus Maximal Slicing. General Relativity and Gravitation 29, 1257–1268 (1997). https://doi.org/10.1023/A:1018811829719
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DOI: https://doi.org/10.1023/A:1018811829719