The End of Cosmic Growth

Abstract

The growth of large scale structure is a battle between gravitational attraction and cosmic acceleration. We investigate the future behavior of cosmic growth under both general relativity (GR) and modified gravity during prolonged acceleration, deriving analytic asymptotic behaviors and showing that gravity generally loses and growth ends. We also note the `why now' problem is equally striking when viewed in terms of the shut down of growth. For many models inside GR the gravitational growth index $\gamma$ also shows today as a unique time between constant behavior in the past and a higher asymptotic value in the future. Interestingly, while $f(R)$ models depart in this respect dramatically from GR today and in the recent past, their growth indices are identical in the asymptotic future and past.

5 pages, 6 figures; v2 minor edits, matches accepted PRD

References in corpus (4)

• On the growth of linear perturbations
• The dispersion of growth of matter perturbations in f(R) gravity
• When is the growth index constant?
• Testing Dark Matter Clustering with Redshift Space Distortions

Cited by in corpus (10)

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• Global properties of the growth index of matter inhomogeneities in the universe
• No Run Gravity
• Global properties of the growth index: mathematical aspects and physical relevance
• Scalar perturbation and density contrast evolution in $f(Q,C)$ gravity
• Developments in Cosmic Growth and Gravitation
• Probing the Hubble Tension with an Infinite-Future Condition on the Hubble Parameter