The to zero limit of spacetimes and its physical interpretation

Mark Bugden, Claudio F. Paganini

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)


    We study the λ → 0 behaviour of Schwarzschild-de Sitter spacetime and show, according to Geroch's notion of spacetime limits, that it converges to the Schwarzschild spacetime. We use an embedding into AdS 3 to illustrate and quantify this limiting behaviour. We use these quantitative observations to establish a hierarchy of validity between the Einstein-de Sitter equations and the Einstein equations (and therefore in a weak field limit also Newton's equations), analogous to the quantum-classical limit when taking h → 0.

    Original languageEnglish
    Article number045003
    JournalClassical and Quantum Gravity
    Issue number4
    Publication statusPublished - 28 Jan 2019


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