Rotating elastic bodies in Einstein gravity
  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. 
Lars Andersson (UM and AEI), Robert Beig (Vienna), Bernd Schmidt (AEI)