# Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method

## Abstract

The phase-integral approximation devised by Froeman and Froeman, is used for computing cosmological perturbations in the power-law inflationary model. The phase-integral formulas for the scalar and tensor power spectra are explicitly obtained up to ninth-order of the phase-integral approximation. We show that, the phase-integral approximation exactly reproduces the shape of the power spectra for scalar and tensor perturbations as well as the spectral indices. We compare the accuracy of the phase-integral approximation with the results for the power spectrum obtained with the slow-roll and uniform-approximation methods.

- Authors:

- Centro de Fisica IVIC Apdo 21827, Caracas 1020A (Venezuela)

- Publication Date:

- OSTI Identifier:
- 21020142

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.063518; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; APPROXIMATIONS; COMPARATIVE EVALUATIONS; COSMOLOGY; ENERGY SPECTRA; INFLATIONARY UNIVERSE; SCALARS; TENSORS

### Citation Formats

```
Rojas, Clara, and Villalba, Victor M.
```*Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.063518.

```
Rojas, Clara, & Villalba, Victor M.
```*Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method*. United States. doi:10.1103/PHYSREVD.75.063518.

```
Rojas, Clara, and Villalba, Victor M. Thu .
"Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method". United States.
doi:10.1103/PHYSREVD.75.063518.
```

```
@article{osti_21020142,
```

title = {Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method},

author = {Rojas, Clara and Villalba, Victor M.},

abstractNote = {The phase-integral approximation devised by Froeman and Froeman, is used for computing cosmological perturbations in the power-law inflationary model. The phase-integral formulas for the scalar and tensor power spectra are explicitly obtained up to ninth-order of the phase-integral approximation. We show that, the phase-integral approximation exactly reproduces the shape of the power spectra for scalar and tensor perturbations as well as the spectral indices. We compare the accuracy of the phase-integral approximation with the results for the power spectrum obtained with the slow-roll and uniform-approximation methods.},

doi = {10.1103/PHYSREVD.75.063518},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

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