On the motion of a compact elastic body
arXiv:gr-qc/0508025 · doi:10.1007/s00220-007-0205-7
Abstract
We study the problem of motion of a relativistic, ideal elastic solid with free surface boundary by casting the equations in material form ("Lagrangian coordinates"). By applying a basic theorem due to Koch, we prove short-time existence and uniqueness for solutions close to a trivial solution. This trivial, or natural, solution corresponds to a stress-free body in rigid motion.
12 pages, with slight corrections, to be published in Commun.Math.Phys
References in corpus (1)
Cited by in corpus (9)
- Static self-gravitating elastic bodies in Einstein gravity
- Elasticity Theory in General Relativity
- Dynamical compact elastic bodies in general relativity
- Relativistic Elasticity II
- A transmission problem for quasi-linear wave equations
- Elastic shocks in relativistic rigid rods and balls
- Free-falling motion of an elastic rigid rod towards a Schwarzschild black hole
- Rigid elastic solids in relativity
- Self-gravitating elastic bodies