Initial data for fluid bodies in general relativity

Abstract

We show that there exist asymptotically flat almost-smooth initial data for Einstein-perfect fluid's 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. PACS: 04.20.Ex, 04.40.Nr, 02.30.Jr

38 pages, LaTeX 2e, no figures. Accepted for publication in Phys. Rev. D

References in corpus (2)

• Asymptotically Flat Initial Data with Prescribed Regularity at Infinity
• Initial data for stationary space-times near space-like infinity

Cited by in corpus (7)

• Well posedness for the motion of a compressible liquid with free surface boundary
• Theorems on existence and global dynamics for the Einstein equations
• Motion of Isolated bodies
• The constraint equations for the Einstein-scalar field system on compact manifolds
• Singular perturbation techniques in the gravitational self-force problem
• Is general relativity `essentially understood' ?
• Motion of small bodies in general relativity: foundations and implementations of the self-force