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arXiv · 0811.0932

Rotating elastic bodies in Einstein gravity

Lars Andersson·Robert Beig·Bernd Schmidt
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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.

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Lars Andersson, Robert Beig, Bernd Schmidt. 2008-11-06. Rotating elastic bodies in Einstein gravity. https://doi.org/10.1002/cpa.20302

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