Third-Order Density Perturbation and One-Loop Power Spectrum in Dark-Energy-Dominated Universe(Astrophysics and Cosmology)

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Ryuichi, TAKAHASHI ; Department of Physics and Astrophysics, Nagoya University (2008)
  • Journal: Progress of theoretical physics = Progress of theoretical physics, volume 120, issue 3, pages 549-559 (issn: 0033068x)
  • Subject:
    arxiv: Astrophysics::Cosmology and Extragalactic Astrophysics

We investigate the third-order density perturbation and the one-loop correction to the linear power spectrum in the dark-energy cosmological model. Our main interest is to understand the dark-energy effect on baryon acoustic oscillations in a quasi-nonlinear regime (k&ap;0.1h/Mpc). Analytical solutions and simple fitting formulae are presented for the dark-energy model with the general time-varying equation of state w(a). It turns out that the power spectrum coincides with the approximate result based on the EdS (Einstein deSitter) model within 1% for k<0.4h/Mpc at z=0 in the WMAP (Wilkinson Microwave Anisotropy Probe) 5yr best-fitting cosmological model, which suggests that the cosmological dependence is very small.
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