Slicing the Oppenheimer-Snyder Collapse: Harmonic versus Maximal Slicing

Details Slicing the Oppenheimer-Snyder Collapse: Harmonic versus Maximal Slicing Slicing the Oppenheimer-Snyder Collapse: Harmonic versus Maximal Slicing

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997gregr..29.1257g&link_type=abstract

General Relativity and Gravitation, Volume 29, Issue 10, p.1257-1268

Physics

2

Scientific paper

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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