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- W3099536760 abstract "We propose a criterion for finding the minimum distance at which an interior solution of Einstein's equations can be matched with an exterior asymptotically flat solution. It is based upon the analysis of the eigenvalues of the Riemann curvature tensor and their first derivatives, implying $C^3$ differentiability conditions. The matching itself is performed by demanding continuity of the curvature eigenvalues across the matching surface. We apply the $C^3$ matching approach to spherically symmetric perfect fluid spacetimes and obtain the physically meaningful condition that density and pressure should vanish on the matching surface. Several perfect fluid solutions in Newton and Einstein gravity are tested." @default.
- W3099536760 created "2020-11-23" @default.
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- W3099536760 date "2019-06-13" @default.
- W3099536760 modified "2023-10-17" @default.
- W3099536760 title "C 3 matching for asymptotically flat spacetimes" @default.
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- W3099536760 doi "https://doi.org/10.1088/1361-6382/ab2422" @default.
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