Secondary isocurvature perturbations from acoustic reheating

Abstract

The superhorizon (iso)curvature perturbations are conserved if the following conditions are satisfied: (i) (each) non adiabatic pressure perturbation is zero, (ii) the gradient terms are ignored, that is, at the leading order of the gradient expansion (iii) (each) total energy momentum tensor is conserved. We consider the case with the violation of the last two requirements and discuss the generation of secondary isocurvature perturbations during the late time universe. Second order gradient terms are not necessarily ignored even if we are interested in the long wavelength modes because of the convolutions which may pick products of short wavelength perturbations up. We then introduce second order conserved quantities on superhorizon scales under the conditions (i) and (iii) even in the presence of the gradient terms by employing the full second order cosmological perturbation theory. We also discuss the violation of the condition (iii), that is, the energy momentum tensor is conserved for the total system but not for each component fluid. As an example, we explicitly evaluate second order heat conduction between baryons and photons due to the weak Compton scattering, which dominates the period just before recombination. We show that such secondary effects can be recast into the isocurvature perturbations on superhorizon scales if the local type primordial non Gaussianity exists a priori.

18 pages, considerable revision from v1

References in corpus (6)

• Silk damping at a redshift of a billion: a new limit on small-scale adiabatic perturbations
• Mixing of blackbodies: entropy production and dissipation of sound waves in the early Universe
• Gauge invariant Boltzmann equation and the fluid limit
• CMB spectral distortions as solutions to the Boltzmann equations
• Probing small-scale non-Gaussianity from anisotropies in acoustic reheating
• Recursive structure in the definitions of gauge-invariant variables for any order perturbations

Cited by in corpus (3)

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• Energy extraction and particle acceleration around a rotating dyonic black hole in $N=2$, $U(1{)}^2$ gauged supergravity
• Cosmic microwave background spectral distortions from Rayleigh scattering at second order