Remarks on the Cosmological Constant as an Initial Condition for Milne-like Spacetimes

Explore a lecture on the cosmological constant's role as an initial condition in Milne-like spacetimes. Delve into Eric Ling's presentation from the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute. Examine the generalization of previous findings to spacetimes with similar geometrical properties to Milne-like spacetimes, without assuming spatial isotropy or homogeneity. Investigate the implications for inflationary scenarios and the early universe's "quasi de Sitter" expansion. Follow the detailed proof structure, including contradiction and intuition approaches, as well as causal theory and strong causality proofs. Gain insights into applications to inflationary theory, the inflationary era, and Freeman's second equation. Consider future research directions, including C0 conformal extension and Freeman equations.

Introduction
Outline
The cosmological constant
Einstein equations
Main result
Motivation
Setting
Theorem
Proof by contradiction
Proof by intuition
Proof of causal theory
Proof of strong causality
Applications to inflationary theory
The inflationary era
Freemans second equation
Future work
C0 conformal extension
Freeman equations
Future directions