Differential rotation alone sustains regular, asymptotically flat, horizonless axisymmetric spacetimes with stable circular orbits, finite tidal forces, and linear stability against axisymmetric perturbations.
Lewis,Some special solutions of the equations of axi- ally symmetric gravitational fields, Proc
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Helicity-supported stationary spacetimes: A class of finite-energy, horizonless, axisymmetric solutions
Differential rotation alone sustains regular, asymptotically flat, horizonless axisymmetric spacetimes with stable circular orbits, finite tidal forces, and linear stability against axisymmetric perturbations.