Remarks on the cosmological constant appearing as an initial condition for Milne-like spacetimes

Abstract

Milne-like spacetimes are a class of $k=-1$ FLRW spacetimes which admit continuous spacetime extensions through the big bang. In a previous paper [30], it was shown that the cosmological constant appears as an initial condition for Milne-like spacetimes. In this paper, we generalize this statement to spacetimes which share similar geometrical properties with Milne-like spacetimes but without the strong spatially isotropic assumption associated with them. We show how our results yield a "quasi de Sitter" expansion for the early universe which could have applications to inflationary scenarios.

16 pages, 3 figures, article for the conference "Singularity theorems, causality, and all that; a tribute to Roger Penrose." Final version to appear in GRG

References in corpus (2)

• A Lorentzian analog for Hausdorff dimension and measure
• Low regularity extensions beyond Cauchy horizons

Cited by in corpus (4)

• On the initial singularity and extendibility of flat quasi-de Sitter spacetimes
• On the asymptotic assumptions for Milne-like spacetimes
• The Hybrid Euclidean-Lorentzian Universe: Stability Considerations and the Point of Transition
• A lower semicontinuous time separation function for $C^0$ spacetimes