On the dynamical emergence of de Sitter spacetime

TL;DR

This paper introduces a new asynchronous coordinate system for de Sitter spacetime in 1+1 dimensions, revealing properties like geodesic comoving observers and finite past cosmic time, supporting the natural emergence of a cosmological constant-like equation of state.

Contribution

It presents a novel coordinate system for de Sitter spacetime with unique cosmological properties and discusses implications for the emergence of dark energy-like behavior.

Findings

Coordinates cover de Sitter spacetime completely in 1+1 dimensions

Comoving observers follow geodesics in these coordinates

Cosmic time is finite in the past, and coordinates resemble flat models at large times

Abstract

We present and discuss an asynchronous coordinate system covering de Sitter spacetime, notably in a complete way in 1+1 dimensions. The new coordinates have several interesting cosmological properties: the worldlines of comoving ($x^i=const$) observers are geodesics, cosmic time is finite in the past, and the coordinates asymptotically tend to that of a flat Robertson & Walker model at large times. This analysis also provides an argument in favor of the natural emergence of an equation of state of the type $p=-\rho$ in the context of the standard cosmological model.