Theorem proves uniqueness of isolated vacuum exteriors in classical gravity, suggesting important structural properties.
This theorem proves that isolated vacuum exteriors in closed classical gravity admit no redistributive structure, exhaust all intrinsic degrees of freedom, and are necessarily static and unique up to diffeomorphism. Inverse-square weak-field behaviour, absence of gravitational hair, and vacuum rigidity emerge as structural consequences of closure rather than properties of specific field equations.
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Simon F. Gates (2026) studied this question.
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