Practical tools for third order cosmological perturbations

Abstract

We discuss cosmological perturbation theory at third order, deriving the gauge transformation rules for metric and matter perturbations, and constructing third order gauge invariant quantities. We present the Einstein tensor components, the evolution equations for a perfect fluid, and the Klein-Gordon equation at third order, including scalar, vector and tensor perturbations. In doing so, we also give all second order tensor components and evolution equations in full, exhilarating generality.

17 pages, revtex4; v2: corresponds to version published in JCAP

References in corpus (7)

• A field-theory motivated approach to symbolic computer algebra
• Non-gaussianity of inflationary field perturbations from the field equation
• The influence of structure formation on the cosmic expansion
• Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum
• A Concise Introduction to Perturbation Theory in Cosmology
• Covariant generalization of cosmological perturbation theory
• Third-order cosmological perturbations of zero-pressure multi-component fluids: Pure general relativistic nonlinear effects

Cited by in corpus (9)

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• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Applicability of the linearly perturbed FRW metric and Newtonian cosmology
• Estimating the amount of vorticity generated by cosmological perturbations in the early universe
• Fully non-linear equivalence of delta N and covariant formalisms
• Comments on gauge-invariance in cosmology
• A simplified structure for the second order cosmological perturbation equations
• On non-linear CMB temperature anisotropy from gravitational perturbations
• Second-order dust perturbations of the non-flat FLRW model with the positive cosmological constant