Differential rotation alone sustains regular, asymptotically flat, horizonless axisymmetric spacetimes with stable circular orbits, finite tidal forces, and linear stability against axisymmetric perturbations.
We now evaluate this for two representative smooth pro- files
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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.