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    Einstein's field equations admit no vacuum solutions for ... — Carmelics
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    Supports→Mach's Principle was successfully incorporated into Einstein's general theory of relativity

    Einstein's field equations admit no vacuum solutions for a static universe

    Modality & PossibilityTruth & Knowledge
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    Modality & PossibilityTruth & Knowledge

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    Mach's Principle requires that inertial structure cannot exist in the absence of...Mach's Principle was successfully incorporated into Einstein's general theory of...The non-existence of vacuum solutions shows that the metric cannot be determined...

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    Einstein's field equations did not permit models of the universe that ...85%Einstein's static universe solution is not the unique solution to his ...85%Einstein's assumption that the universe is static was in conflict with...80%An empty universe satisfying Einstein's field equations is a direct co...78%

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    According to Einstein’s Machian convictions, since inertia is determined only by matter, there can be no inertial structure or field in the absence of matter. Consequently, it is impossible, Einstein conjectured, to find a solution to the field equations—that is, to determine the metric \(g_{ij}\)—if the energy-momentum tensor \(T_{ij}\) representing the mass-energy content of the universe is zero. The non-existence of ‘vacuum solutions’ for a static universe demonstrated, Einstein thou

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