Large Scale Cosmic Perturbation from Evaporation of Primordial Black Holes

TL;DR

This paper proposes a new mechanism where primordial black hole evaporation causes cosmic perturbations, with fluctuations in a light scalar field during inflation influencing black hole evaporation times, potentially matching observed cosmic perturbation amplitudes.

Contribution

It introduces a novel scenario where black hole evaporation induces cosmic perturbations, effective even with minimal coupling to the visible sector.

Findings

The amplitude of curvature perturbations can match observations.

The mechanism operates with fields decoupled from the visible sector.

Implications for the running spectral index are discussed.

Abstract

We present a novel mechanism to generate the cosmic perturbation from evaporation of primordial black holes. A mass of a field is fluctuated if it is given by a vacuum expectation value of a light scalar field because of the quantum fluctuation during inflation. The fluctuated mass causes variations of the evaporation time of the primordial black holes. Therefore provided the primordial black holes dominate the universe when they evaporate, primordial cosmic perturbations are generated. We find that the amplitude of the large scale curvature perturbation generated in this scenario can be consistent with the observed value. Interestingly, our mechanism works even if all fields which are responsible for inflation and the generation of the cosmic perturbation are decoupled from the visible sector except for the gravitational interaction. An implication to the running spectral index is also discussed.