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2015

Limits of Quasi-Static Approximation in Modified-Gravity Cosmologies

Sawicki, Ignacy, Bellini, Emilio

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We investigate the limits of applicability of the quasi-static approximation in cosmologies featuring general models of dark energy or modified gravity.

We show that, at best, the quasi-static approximation breaks down outside of the sound horizon of the dark-energy, rather than the cosmological horizon as is frequently assumed.
When the sound speed of dark energy is significantly below that of light, the quasi-static limit is only valid in a limited range of observable scales and this must be taken into account when computing effects on observations in such models.
As an order of magnitude estimate, in the analysis of data from today's weak-lensing and peculiar-velocity surveys, dark energy can be modelled as quasi-static only if the sound speed is larger than order 1% of that of light.

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