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

TL;DR

This paper extends the understanding of the cosmological constant as an initial condition in Milne-like spacetimes to more general geometries, suggesting implications for early universe inflation.

Contribution

It generalizes previous results to less symmetric spacetimes, providing a broader framework for initial conditions related to the cosmological constant.

Findings

Cosmological constant appears as an initial condition in generalized Milne-like spacetimes.

Results suggest a 'quasi de Sitter' expansion in the early universe.

Potential applications to inflationary cosmology.

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.