Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Natural inflation with natural number of e-foldings   We examine natural inflation without the use of the standard slow-roll
approximation by considering the number of physical e-folds $\ln (a_eH_e/aH)$.
We show that $\tilde{H} = aH \propto \cos(A \phi/2)^{2/A^2} \sin(A \phi/2)$
produces a natural inflationary scenario. This model may be solved exactly,
showing that the slow-roll approximation overestimates the tensor-to-scalar
ratio by about $13-19 \%$ for $n_s \approx 0.96$ and $50-60$ $e$-folds.

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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
2
The categories of this paper are: math
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
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The categories of this paper are: adap-org