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Journal Article

Initial data for fluid bodies in general relativity

MPS-Authors

Dain,  Sergio
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2775.pdf
(Preprint), 240KB

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Citation

Dain, S., & Nagy, G. (2002). Initial data for fluid bodies in general relativity. Physical Review D, 65, 084020.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5518-3
Abstract
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.