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Turnaround radius in an accelerated universe with quasi-local mass

Valerio FaraoniPhysics Department, Bishop's University, 2600 College Street, Sherbrooke, Québec, J1M 1Z7 CanadaMarianne Lapierre-LéonardPhysics Department, Bishop's University, 2600 College Street, Sherbrooke, Québec, J1M 1Z7 CanadaAngus PrainPhysics Department, Bishop's University, 2600 College Street, Sherbrooke, Québec, J1M 1Z7 Canada
2015en
ABI

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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.

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