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gr-qcFeb 1, 2002
21
citations (OpenAlex)
authors
  • Robert Beig
  • Bernd G. Schmidt
institutions
  • Max Planck Institute for Gravitational Physics
  • Max Planck Society
  • University of Vienna
arXiv abstractPDF
paper

Static, Self-Gravitating Elastic Bodies

arXiv:gr-qc/0202024 · doi:10.1098/rspa.2002.1031

Abstract

There is proved an existence theorem, in the Newtonian theory, for static, self-gravitating bodies composed of elastic material. The theorem covers the case where these bodies are small, but allows them to have arbitrary shape.

8 pages

Cited by in corpus (12)

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  • Relativistic fluid dynamics: physics for many different scales
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  • Celestial mechanics of elastic bodies
  • Relativistic Elastostatics I: Bodies in Rigid Rotation
  • Relativistic Elasticity II
  • On self-gravitating polytropic elastic balls
  • Celestial mechanics of elastic bodies II
  • Dynamical elastic bodies in Newtonian gravity
  • Multi-body spherically symmetric steady states of Newtonian self-gravitating elastic matter
  • Helical Solutions in Scalar Gravity
  • Elastic deformations of compact stars
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