Rotating elastic bodies in Einstein gravity
arXiv:0811.0932 · doi:10.1002/cpa.20302
Abstract
We prove that, given a stress-free, axially symmetric elastic body, there exists, for sufficiently small values of the gravitational constant and of the angular frequency, a unique stationary axisymmetric solution to the Einstein equations coupled to the equations of relativistic elasticity with the body performing rigid rotations around the symmetry axis at the given angular frequency.
27 pages
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Cited by in corpus (15)
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- Axisymmetric deformations of neutron stars and gravitational-wave astronomy
- Dynamical compact elastic bodies in general relativity
- Spherically symmetric steady states of John elastic bodies in general relativity
- Relativistic Elasticity II
- Relativistic elasticity of rigid rods and strings
- Rotating elastic string loops in flat and black hole spacetimes: stability, cosmic censorship and the Penrose process
- Rotating Clouds of Charged Vlasov Matter in General Relativity
- 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
- Self-gravitating elastic bodies
- Relativistic elastic membranes: rotating disks and Dyson spheres