Perturbations of Matter Fields in the Second-order Gauge-invariant Cosmological Perturbation Theory

Details Perturbations of Matter Fields in the Second-order Gauge-invariant Cosmological Perturbation Theory Perturbations of Matter Fields in the Second-order Gauge-invariant Cosmological Perturbation Theory

2008-04-24

arxiv.org/abs/0804.3840v4

Phys.Rev.D80:124021,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

(v1) 76 pages, no figure; (v2) minor revision, typos are corrected, references are added; (v3) Title is changed, Compactified

Scientific paper

10.1103/PhysRevD.80.124021

Some formulae for the perturbations of the matter fields are summarized within the framework of the second-order gauge-invariant cosmological perturbation theory in a four dimensional homogeneous isotropic universe, which is developed in the papers [K.Nakamura, Prog.Theor.Phys., 117 (2007), 17.]. We derive the formulae for the perturbations of the energy momentum tensors and equations of motion for a perfect fluid, an imperfect fluid, and a signle scalar field, and show that all equations are derived in terms of gauge-invariant variables without any gauge fixing.

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