A Possible Mechanism for Production of Primordial Black Holes

TL;DR

This paper proposes a novel mechanism involving signature changing cosmology and the generalized uncertainty principle for primordial black hole production, which could account for dark matter relics, and discusses potential observational detection methods.

Contribution

It introduces a new framework for primordial black hole formation using geometric cosmological constants and non-vanishing energy-momentum tensors during signature change, expanding beyond hybrid inflation models.

Findings

Geometric cosmological constant can produce PBHs during inflation

Non-vanishing energy-momentum tensor can generate PBHs at signature change

PBHs evaporate to form primordial black hole remnants (PBHRs)

Abstract

Primordial Black Hole Remnants(PBHRs) can be considered as a primary source of cold dark matter. Hybrid inflation provides a possible framework for production of primordial black holes(PBHs) and these PBHs evaporate subsequently to produce PBHRs. In this paper we provide another framework for production of these PBHs. Using signature changing cosmological model and the generalized uncertainty principle as our primary inputs, first we find a geometric cosmological constant for early stage of universe evolution. This geometric cosmological constant can lead to heavy vacuum density which may be interpreted as a source of PBHs production during the inflationary phase. In the next step, since it is possible in general to have non-vanishing energy-momentum tensor for signature changing hypersurface, this non-vanishing energy-momentum tensor can be considered as a source of PBHs production. These PBHs then evaporate via the Hawking process to produce PBHRs. Finally, possible observational schemes for detecting relics of these PBHRs are discussed.