Primordial black holes and Scalar-Induced Gravitational Waves formed by inflation potential with non-trivial characteristics

TL;DR

This paper investigates how specific inflation potentials with non-trivial characteristics can produce primordial black holes and scalar-induced gravitational waves, highlighting the impact of local coupling properties on these phenomena.

Contribution

It introduces a linear Lorentzian-type coupling to the Starobinsky and KKLT potentials, demonstrating its effect on PBH formation and SIGWs generation.

Findings

Both positive and negative couplings can produce significant PBH abundance.

The model predicts notable scalar-induced gravitational waves.

Local coupling properties influence the formation of PBHs and SIGWs.

Abstract

The formation of primordial black holes (PBHs) generally requires large density perturbations, which is widely supported by researchers. This paper studies the local coupling properties of the Starobinsky and Kachru-Kallosh-Linde-Trivedi (KKLT) potentials by introducing a linear Lorentzian-type coupling, which locally breaks the slow-roll conditions. We find that both positive and negative couplings can generate a considerable abundance of PBH. Additionally, we study the scalar-induced gravitational waves (SIGWs) generated by this model.