Rotating elastic bodies in Einstein gravity

Details Rotating elastic bodies in Einstein gravity Rotating elastic bodies in Einstein gravity

2008-11-06

arxiv.org/abs/0811.0932v1

Commun.Pure Appl.Math.63:559-589,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages

Scientific paper

10.1002/cpa.20302

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.

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