Turnaround radius in an accelerated universe with quasi-local mass

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.

Updated to accepted JCAP version

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• Constraining phantom braneworld model from cosmic structure sizes
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• Black Hole in a Radiation-Dominated Universe
• The Gravothermal Instability at all scales: from Turnaround Radius to Supernovae
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• Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies
• Energy of cosmological spacetimes and perturbations: a quasilocal approach
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• On the maximum volume of collapsing structures
• Turnaround Radius for charged particles in the Reissner-Nordström deSitter spacetime
• Is the Hawking quasilocal energy "Newtonian"?
• Possible influence of a cosmic repulsion on large-scale jets: geometric viewpoint