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gr-qcOct 18, 2014
17
citations (OpenAlex)
authors
  • Lars Andersson
  • Todd A. Oliynyk
  • Bernd G. Schmidt
institutions
  • Max Planck Institute for Gravitational Physics
  • Monash University
arXiv abstractPDF
paper

Dynamical compact elastic bodies in general relativity

arXiv:1410.4894 · doi:10.1007/s00205-015-0943-1

Abstract

We prove the local existence of solutions to the Einstein-Elastic equations that represent self-gravitating, relativistic elastic bodies with compact support.

References in corpus (4)

  • Motion of Isolated bodies
  • Static self-gravitating elastic bodies in Einstein gravity
  • The Newtonian limit for perfect fluids
  • Relativistic elastodynamics

Cited by in corpus (12)

  • Elasticity Theory in General Relativity
  • Recent developments in mathematical aspects of relativistic fluids
  • A priori estimates for relativistic liquid bodies
  • Relativistic Elasticity II
  • Initial boundary-value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
  • Free-falling motion of an elastic rigid rod towards a Schwarzschild black hole
  • Elastic shocks in relativistic rigid rods and balls
  • Rigid elastic solids in relativity
  • Evolution equations for a wide range of Einstein-matter systems
  • Dynamical relativistic liquid bodies I: constraint propagation
  • On the axisymmetric metric generated by a rotating perfect fluid with the vacuum boundary
  • Relativistic elastic membranes: rotating disks and Dyson spheres
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