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- W2049901897 abstract "By a combination of analytical and numerical methods, the density profile of a spherical star momentarily at rest is varied, and the corresponding response in the area of the spherical shells is monitored. It is shown that the inner apparent horizon (if it exists) must lie within or at most on the star's surface while no such restriction is found for the outer apparent horizon. An apparent horizon, however, lying in the vacuum region will always have a nonvanishing area, as long as the ADM mass of the system is nonzero. Furthermore for density profiles not decreasing outwards, it appears that all spherical trapped surfaces lie on a thick spherical shell. Finally for a uniform density star a simple criterion is found, relating the density and proper radius that guarantees the presence or absence of trapped regions." @default.
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- W2049901897 date "1993-09-15" @default.
- W2049901897 modified "2023-09-25" @default.
- W2049901897 title "Mechanism of trapped surface formation" @default.
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- W2049901897 doi "https://doi.org/10.1103/physrevd.48.2943" @default.
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