English

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

General Relativity and Quantum Cosmology 2022-07-27 v3 High Energy Physics - Theory Mathematical Physics Differential Geometry math.MP

Abstract

Milne-like spacetimes are a class of k=1k = -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.

Keywords

Cite

@article{arxiv.2202.04014,
  title  = {Remarks on the cosmological constant appearing as an initial condition for Milne-like spacetimes},
  author = {Eric Ling},
  journal= {arXiv preprint arXiv:2202.04014},
  year   = {2022}
}

Comments

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