Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    The non-existence of vacuum solutions shows that the metr... — Carmelics
    Home/Causation
    HistoryEditSee Inverse

    Part of a larger discussion

    Supports→Mach's Principle was successfully incorporated into Einstein's general theory of relativity

    The non-existence of vacuum solutions shows that the metric cannot be determined without matter

    CausationTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.

    No one has weighed in yet. Be the first to share reasons for or against this statement.

    Sign in or register to share your perspective on this statement.

    Topics

    CausationTruth & Knowledge

    Connections

    2 topics

    Modality & Possibility2 linked

    Next step

    Based on where you are in your exploration

    Browse more in Causation
    Related propositions within the same area of thought.
    All sources support it
    1 linked

    Related

    Einstein's field equations admit no vacuum solutions for a static universeMach's Principle requires that inertial structure cannot exist in the absence of...Mach's Principle was successfully incorporated into Einstein's general theory of...

    Similar

    Einstein's field equations admit no vacuum solutions for a static univ...76%The surgically altered manifold with the restricted metric is also a s...74%In a matter-empty universe, the metric field is fixed and the set of c...74%De Sitter's solution describes a valid universe that is entirely empty...74%

    Source

    AI-extracted
    SEP: weyl
    View source passageHide passage
    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

    Details

    Type
    premise
    Perspectives
    0 (0 for, 0 against)
    Edits
    1 edit

    Open for perspectives

    This idea is waiting for its first supporting or challenging perspective.

    Share the first perspective