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Slow-roll approximation

Comoving curvature perturbation

Slow-roll curvature power spectrum

{title2=$n_s-1=-2\epsilon-\eta$}

Differentiating the curvature spectrum at horizon exit gives
$$
n_s-1=\frac{d\log\Delta_{\mathcal R}^2}{d\log k}
=-2\epsilon-\eta
$$
to first order in Hubble slow-roll parameters.


Scalar spectral index in Hubble slow-roll parameters

Past exam of the mathematics course of the University of Cambridge / 2012 / iii / Paper 57 / 3 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 310 / 4 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 310 / 4 / b / Solution

Scalar spectral index in Hubble slow-roll parameters ( $n_{s} - 1 = - 2 ϵ - η$ )

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Scalar spectral index in Hubble slow-roll parameters (ns​−1=−2ϵ−η)

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Scalar spectral index in Hubble slow-roll parameters ( $n_{s} - 1 = - 2 ϵ - η$ )

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