= Horizonless static vacuum rigidity
{title2=$U=0,\quad \gamma\cong\mathbb R^3$}
On a complete nonsingular spatial quotient with no inner boundary and standard <asymptotic flatness>, a bounded <harmonic function> tending to zero on all ends is zero. The <static vacuum conformal spatial metric> is then <Ricci flat>; <three-dimensional curvature from the Ricci tensor> makes it flat. Completeness and an ordinary Euclidean asymptotic end exclude nontrivial flat quotients, yielding <Minkowski spacetime> with the standard global time coordinate.
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