Gauge-invariant Formulation of the Second-order Cosmological Perturbations

Details Gauge-invariant Formulation of the Second-order Cosmological Perturbations Gauge-invariant Formulation of the Second-order Cosmological Perturbations

2006-05-19

arxiv.org/abs/gr-qc/0605107v2

Phys.Rev. D74 (2006) 101301

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figure. RevTeX; short letter version of gr-qc/0605108; some details of explanations are added

Scientific paper

10.1103/PhysRevD.74.101301

Gauge invariant treatments of the second order cosmological perturbation in a four dimensional homogeneous isotropic universe filled with the perfect fluid are completely formulated without any gauge fixing. We derive all components of the Einstein equations in the case where the first order vector and tensor modes are negligible. These equations imply that the tensor and the vector mode of the second order metric perturbations may be generated by the scalar-scalar mode coupling of the linear order perturbations as the result of the non-linear effects of the Einstein equations.

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