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gr-qcDec 1, 2006
22
citations (OpenAlex)
authors
  • Robert Beig
  • Bernd G. Schmidt
institutions
  • Max Planck Institute for Gravitational Physics
  • Max Planck Society
arXiv abstractPDF
paper

Celestial mechanics of elastic bodies

arXiv:gr-qc/0612189 · doi:10.1007/s00209-007-0177-5

Abstract

We construct time independent configurations of two gravitating elastic bodies. These configurations either correspond to the two bodies moving in a circular orbit around their center of mass or strictly static configurations.

16 pages, 2 figures, several typos removed, erratum appeared in MathZ.263:233,2009

References in corpus (3)

  • Celestial mechanics of elastic bodies
  • Static, Self-Gravitating Elastic Bodies
  • Relativistic Elastostatics I: Bodies in Rigid Rotation

Cited by in corpus (12)

  • Celestial mechanics of elastic bodies
  • On Static n-body Configurations in Relativity
  • Gravitating Opposites Attract
  • On self-gravitating polytropic elastic balls
  • Celestial mechanics of elastic bodies II
  • Static self-gravitating many-body systems in Einstein gravity
  • Dynamical elastic bodies in Newtonian gravity
  • Helical Solutions in Scalar Gravity
  • Free-falling motion of an elastic rigid rod towards a Schwarzschild black hole
  • Self-gravitating elastic bodies
  • Relativistic elastic membranes: rotating disks and Dyson spheres
  • Helical motion of elastic spheres
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