Predictions of inflation: the slow roll approximation vs. exact results

Details Predictions of inflation: the slow roll approximation vs. exact results Predictions of inflation: the slow roll approximation vs. exact results

1998-05-25

arxiv.org/abs/astro-ph/9805313v1

Astronomy and Astrophysics

Astrophysics

4 pages, Contribution to the 'International Seminar on Mathematical Cosmology', Potsdam, 1998

Scientific paper

Inflation predicts the generation of cosmological perturbations. Usually, the power spectra for the scalar and tensor modes are calculated with help of the slow roll approximation. In the case of power law inflation an exact result is available. We compare the predictions for the cosmic microwave background anisotropies from the slow roll approximation with the exact results from power law inflation. We find that the so-called consistency check from the slow roll approximation, $C_2^T/C_2^S \approx -6.93 n_T$, may differ considerably from the exact result.

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