Practical tools for third order cosmological perturbations

Details Practical tools for third order cosmological perturbations Practical tools for third order cosmological perturbations

2009-09-05

arxiv.org/abs/0909.0942v2

JCAP 11 (2009) 012

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

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

Scientific paper

10.1088/1475-7516/2009/11/012

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.

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