Turnaround radius in an accelerated universe with quasi-local mass

TL;DR

This paper uses the Hawking-Hayward quasi-local energy to rigorously define the turnaround radius of cosmic structures, highlighting the balance between local gravity and cosmic expansion.

Contribution

It introduces a novel application of quasi-local mass to determine the turnaround radius, clarifying the interplay between local and cosmological effects in an accelerated universe.

Findings

Rigorous definition of turnaround radius using quasi-local energy

Splitting of mass into local and cosmological components

Insights into the balance of local attraction and expansion

Abstract

We apply the Hawking-Hayward quasi-local energy construct to obtain in a rigorous way the turnaround radius of cosmic structures in General Relativity. A splitting of this quasi-local mass into local and cosmological parts describes the interplay between local attraction and cosmological expansion.