Title: The $\Lambda$ to zero limit of spacetimes and its physical interpretation
Abstract: 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 → 0.