The Trans-Planckian Censorship Conjecture in different frameworks of viable inflation

TL;DR

This paper reviews the Trans-Planckian Censorship Conjecture (TCC) and explores its implications across various inflationary models, including slow-roll, $f(R)$, and constant-roll scenarios, highlighting the constraints TCC imposes on these frameworks.

Contribution

It provides a comprehensive analysis of TCC constraints in multiple inflation models, extending previous discussions to $f(R)$ and constant-roll inflation.

Findings

TCC imposes significant constraints on slow-roll inflation models.

The conjecture affects the viability of $f(R)$ and $f(R,\, ext{phi})$-gravity frameworks.

Constraints vary across different inflationary scenarios, impacting model viability.

Abstract

We review the recently proposed Trans-Planckian Censorship Conjecture that stems from the Trans-Planckian problem of cosmological perturbations. We analyze the implications and constraints that TCC introduces in different frameworks of viable inflation. We revisit the case of slow-roll scalar field inflation and we investigate the cases of slow-roll $f(R)$ and $f(R,\phi)$-gravity. Finally, we consider the conjecture in the context of constant-roll scalar field inflation.