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arXiv:astro-ph/0506532 (astro-ph)
[Submitted on 22 Jun 2005 (v1), last revised 28 Nov 2005 (this version, v3)]

Title:Gauge-invariant perturbations at second order: multiple scalar fields on large scales

Authors:Karim A. Malik
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Abstract: We derive the governing equations for multiple scalar fields minimally coupled to gravity in a flat Friedmann-Robertson-Walker (FRW) background spacetime on large scales. We include scalar perturbations up to second order and write the equations in terms of physically transparent gauge-invariant variables at first and second order. This allows us to write the perturbed Klein-Gordon equation at second order solely in terms of the field fluctuations on flat slices at first and second order.
Comments: 16 pages, no figures, revtex4; v2: sign errors in Eqs. (4.16) and (7.6) corrected, application section added, typos corrected, reference added; v3: minor changes, as published version
Subjects: Astrophysics (astro-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:astro-ph/0506532
  (or arXiv:astro-ph/0506532v3 for this version)
  https://doi.org/10.48550/arXiv.astro-ph/0506532
Journal reference: JCAP 0511:005,2005
Related DOI: https://doi.org/10.1088/1475-7516/2005/11/005

Submission history

From: Karim . A. Malik [view email]
[v1] Wed, 22 Jun 2005 17:31:59 UTC (18 KB)
[v2] Mon, 15 Aug 2005 18:42:48 UTC (20 KB)
[v3] Mon, 28 Nov 2005 15:38:32 UTC (20 KB)
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