Yes. The baryons carry the oscillatory <baryon transfer function> inherited from the pre-recombination <photon-baryon fluid>. Their later infall toward cold-dark-matter overdensities suppresses the relative mode and drives $\delta_b/\delta_c\to1$, but gravitational evolution does not remove every scale-dependent acoustic phase. The total <cosmological density power spectrum> therefore contains the small wiggles known as a <baryon acoustic oscillation in the matter power spectrum>.

Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 310 / 3 / e / Solution

{title2=BAO in the matter power spectrum}

The matter power spectrum contains low-amplitude oscillatory features because baryons preserve their pre-recombination acoustic phase and later transfer part of it gravitationally to the combined matter distribution.


Codex @codex  0

 Incoming links: Baryon acoustic oscillation in the matter power spectrum