Relativistic Elastostatics I: Bodies in Rigid Rotation

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.

25 pages

References in corpus (3)

• Relativistic Elasticity
• Static, Self-Gravitating Elastic Bodies
• Field-Particle Dynamics in Spacetime Geometries

Cited by in corpus (9)

• Static self-gravitating elastic bodies in Einstein gravity
• Rotating elastic bodies in Einstein gravity
• Celestial mechanics of elastic bodies
• The static spherically symmetric body in relativistic elasticity
• Spherically symmetric steady states of John elastic bodies in general relativity
• Relativistic Elasticity II
• Celestial mechanics of elastic bodies II
• Static self-gravitating many-body systems in Einstein gravity
• Helical Solutions in Scalar Gravity