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

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 $f(R,\varphi )$-gravity. Finally, we consider the conjecture in the context of constant-roll scalar field inflation.

14 pages, corrected some minor typos found post-publication

References in corpus (6)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Swampland: Introduction and Review
• Analyzing the $H_0$ tension in $F(R)$ gravity models
• One-loop Modified Gravity in de Sitter Universe, Quantum Corrected Inflation, and its Confrontation with the Planck Result
• Beyond-one-loop quantum gravity action yielding both inflation and late-time acceleration
• Stability of cosmological solutions in extended quasidilaton massive gravity

Cited by in corpus (2)

• On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme