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gr-qc2009★ 1 cited
Consistency relations between the source terms in the second-order Einstein equations for cosmological perturbations
Kouji Nakamura
In addition to the second-order Einstein equations on four-dimensional homogeneous isotropic background universe filled with the single perfect fluid, we also derived the second-or…
gr-qc2009
Inclusion of the first-order vector- and tensor-modes in the second-order gauge-invariant cosmological perturbation theory
Kouji Nakamura
Gauge-invariant treatments of the second-order cosmological perturbation in a four dimensional homogeneous isotropic universe are formulated without any gauge fixing. We have deriv…
gr-qc2009★ 12 cited
Consistency of Equations in the Second-order Gauge-invariant Cosmological Perturbation Theory
Kouji Nakamura
Along the general framework of the gauge-invariant perturbation theory developed in the papers [K. Nakamura, Prog. Theor. Phys. {\bf 110} (2003), 723; {\it ibid}, {\bf 113} (2005),…