Differential rotation alone sustains regular, asymptotically flat, horizonless axisymmetric spacetimes with stable circular orbits, finite tidal forces, and linear stability against axisymmetric perturbations.
Papapetrou,A static solution of the equations of the gravitational field for an arbitrary charge distribution, Annals Phys.12, 309 (1953)
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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.