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gr-qcMay 17, 2006
55
citations (OpenAlex)
authors
  • Yvonne Choquet-Bruhat
  • Helmut Friedrich
institutions
  • Académie de Paris
  • Max Planck Institute for Gravitational Physics
  • Max Planck Society
arXiv abstractPDF
paper

Motion of Isolated bodies

arXiv:gr-qc/0605096 · doi:10.1088/0264-9381/23/20/015

Abstract

It is shown that sufficiently smooth initial data for the Einstein-dust or the Einstein-Maxwell-dust equations with non-negative density of compact support develop into solutions representing isolated bodies in the sense that the matter field has spatially compact support and is embedded in an exterior vacuum solution.

References in corpus (1)

  • Initial data for fluid bodies in general relativity

Cited by in corpus (11)

  • From Geometry to Numerics: interdisciplinary aspects in mathematical and numerical relativity
  • On the evolution equations for ideal magnetohydrodynamics in curved spacetime
  • Dynamical compact elastic bodies in general relativity
  • Einstein equations under polarized U(1) symmetry in an elliptic gauge
  • Geometric optics approximation for the Einstein vacuum equations
  • Dynamical elastic bodies in Newtonian gravity
  • A transmission problem for quasi-linear wave equations
  • Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
  • Future stability of self-gravitating dust balls in an expanding universe
  • Self-gravitating elastic bodies
  • The Global Future Stability of the FLRW Solutions to the Dust-Einstein System with a Positive Cosmological Constant
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