Space-Times with Integrable Singularity

TL;DR

This paper explores a weaker, integrable form of black hole singularity that permits matter transfer and universe creation, potentially leading to a new model of universe genesis with inherent inflation.

Contribution

It introduces the concept of integrable singularities in black holes, allowing matter passage and universe formation, expanding understanding of black hole interiors and cosmogenesis.

Findings

Integrable singularities are weaker than traditional ones.

Matter can pass through the singularity to a white-hole region.

A new universe can be generated with inherent inflation.

Abstract

We use the phenomenological approach to study properties of space-time in the vicinity of the Schwarzschild black-hole singularity. Requiring finiteness of the Schwarzschild-like metrics we come to the notion of integrable singularity that is, in a sense, weaker than the conventional singularity and allows the (effective) matter to pass to the white-hole region. This leads to a possibility of generating a new universe there. Thanks to the gravitational field of the singularity, this universe is already born highly inflated ('singularity-induced inflation') before the ordinary inflation starts.