Phys. Rev. D 65, 084020 (2002) [15 pages]Initial data for fluid bodies in general relativityReceived 23 November 2001; published 29 March 2002 We show that there exist asymptotically flat almost-smooth initial data for the Einstein–perfect-fluid equation that represent an isolated liquid-type body. By liquid-type body we mean that the fluid energy density has compact support and takes a strictly positive constant value at its boundary. By almost-smooth we mean that all initial data fields are smooth everywhere on the initial hypersurface except at the body boundary, where tangential derivatives of any order are continuous at that boundary. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.084020
DOI:
10.1103/PhysRevD.65.084020
PACS:
04.20.Ex, 02.30.Jr, 04.40.Nr
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