Relativistic Elastostatics I: Bodies in Rigid Rotation

Beig, Robert; Schmidt, Bernd G.

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Relativistic Elastostatics I: Bodies in Rigid Rotation

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Schmidt, Bernd G.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Beig, R., & Schmidt, B. G. (2005). Relativistic Elastostatics I: Bodies in Rigid Rotation. Classical and Quantum Gravity, 22(11), 2249-2268.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4EAF-4

Abstract

We consider elastic bodies in rigid rotation, both nonrelativistically and in special relativity. Assuming a body to be in its natural state in the absence of rotation, we prove the existence of solutions to the elastic field equations for small angular velocity.