Primordial blackholes and gravitational waves for an inflection-point model of inflation

TL;DR

This paper establishes a new relationship between primordial gravitational waves and black holes in inflation models, deriving bounds on black hole abundance based on observational constraints.

Contribution

It introduces a novel closed-form relation linking gravitational waves and primordial black holes in inflection-point inflation models below the Planck scale.

Findings

Derived strict bounds on primordial black hole abundance.

Connected observational constraints to inflationary parameters.

Provided a new theoretical framework for primordial black hole and gravitational wave correlation.

Abstract

In this article we provide a new closed relationship between cosmic abundance of primordial gravitational waves and primordial blackholes originated from initial inflationary perturbations for inflection-point models of inflation where inflation occurs below the Planck scale. The current Planck constraint on tensor-to-scalar ratio, running of the spectral tilt, and from the abundance of dark matter content in the universe, we can deduce a strict bound on the current abundance of primordial blackholes to be within a range, $9.99712\times 10^{-3}<\Omega_{PBH}h^{2}<9.99736\times 10^{-3}$.