Cosmic Jerk and Snap in Penrose's CCC model

TL;DR

This paper derives a conformally invariant constraint on cosmological scalars within Penrose's Conformal Cyclic Cosmology, linking the late and early universe stages modeled by FRW cosmologies with radiation and a positive cosmological constant.

Contribution

It introduces a new conformally invariant constraint on cosmological scalars applicable to Penrose's CCC model, connecting different aeons through FRW metrics.

Findings

Derived a conformally invariant scalar constraint for FRW cosmologies with radiation and cosmological constant.

Established the connection between late and early universe stages in CCC via this invariant.

Provided theoretical insights into the structure of the universe's cyclic model.

Abstract

We obtain a constraint on cosmological scalars for the FRW metric with a pure radiation fluid source and positive cosmological constant. We demonstrate that this constraint is conformally invariant in the context of Penrose's Conformal Cyclic Cosmology proposal, where the metrics of the late stages of the previous aeon and the early stages of the present aeon are described by FRW cosmologies.