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Introduction to the number of $e$-folds in slow-roll inflation

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arxiv 2408.01854 v1 pith:YLZU5GXT submitted 2024-08-03 astro-ph.CO gr-qchep-th

classification astro-ph.COgr-qchep-th
keywords foldsnumberinflationbeforeinflationaryintroductionslow-rollapplication
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abstract

In this review, a pedagogical introduction to the concepts of slow-roll inflationary Universe and number of $e$-folds is provided. In particular, the differences between the basic notion of number of $e$-folds ($N_e$), total number of $e$-folds ($N_T$) and number of $e$-folds before the end of inflation ($N$), are outlined. The proper application of the number of $e$-folds before the end of inflation is discussed both as a time-like variable for the scalar field evolution and as a key parameter for computing inflationary predictions.

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  1. Investigating $f(R)$-Inflation: background evolution and constraints

    astro-ph.CO 2025-07 conditional novelty 4.0 of 10

    A Jordan-frame f(R) model with particle creation during inflation is fitted to DESI and Pantheon+ data, yielding H0=71.04 and a claimed reduction of the Hubble tension to about 1.6-2.8 sigma.

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