Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-08-07
Commun.Math.Phys.271:455-465,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, with slight corrections, to be published in Commun.Math.Phys
Scientific paper
10.1007/s00220-007-0205-7
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.
Beig Robert
Wernig-Pichler Michael
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