Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-04-28
Phys.Rev.D79:103502,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 pages, RevTex, to appear in Phys. Rev D
Scientific paper
10.1103/PhysRevD.79.103502
The phase-integral approximation devised by Fr\"oman and Fr\"oman, is used for computing cosmological perturbations in the quadratic chaotic inflationary model. The phase-integral formulas for the scalar and tensor power spectra are explicitly obtained up to fifth order of the phase-integral approximation. We show that, the phase integral gives a very good approximation for the shape of the power spectra associated with scalar and tensor perturbations as well as the spectral indices. We find that the accuracy of the phase-integral approximation compares favorably with the numerical results and those obtained using the slow-roll and uniform approximation methods.
Rojas Clara
Villalba Victor M.
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