Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-12-07
Chin.Phys.16:2894-2902,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, 3 figures, minor typos corrected
Scientific paper
10.1088/1009-1963/16/10/012
In this paper, we improve the calculation of the relic gravitational waves (RGW) in two aspects: First, we investigate the transfer function after considering the redshift-suppression effect, the accelerating expansion effect, the damping effect of free-streaming relativistic particles, and the damping effect of cosmic phase transition, and give a simple approximate analytic expression, which clearly illustrates the dependent relations on the cosmological parameters. Second, we develop a numerical method to calculate the primordial power spectrum of RGW at a very wide frequency range, where the observed constraints on $n_s$ (the scalar spectral index) and $P_S(k_0)$ (the amplitude of primordial scalar spectrum) and the Hamilton-Jacobi equation are used. This method is applied to two kinds of inflationary models, which all satisfy the current constraints on $n_s$, $\alpha$ (the running of $n_s$) and $r$ (the tensor-scalar ratio). We plot them in the $r-\Omega_g$ diagram, where $\Omega_g$ is the strength of RGW, and study their detection by the CMB experiments and laser interferometers.
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