The gravito-magnetic vector potential on galaxy scales from IllustrisTNG simulations is two orders of magnitude larger than perturbation theory predicts yet only 0.1-1% of the Newtonian scalar potential and subdominant to dynamics.
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The frame-dragging vector potential on galaxy scales from Dark-Matter-only Newtonian $N$-body simulations
The gravito-magnetic vector potential on galaxy scales from IllustrisTNG simulations is two orders of magnitude larger than perturbation theory predicts yet only 0.1-1% of the Newtonian scalar potential and subdominant to dynamics.