English

Practical tools for third order cosmological perturbations

Cosmology and Nongalactic Astrophysics 2014-11-20 v2

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.

Keywords

Cite

@article{arxiv.0909.0942,
  title  = {Practical tools for third order cosmological perturbations},
  author = {Adam J. Christopherson and Karim A. Malik},
  journal= {arXiv preprint arXiv:0909.0942},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T13:42:50.586Z