Occurrence of a turning point in the dynamic solution for a Reissner-Nordstr\"om black hole

TL;DR

This paper investigates the formation and dynamics of a Reissner-Nordström black-and-white hole, focusing on the occurrence of a turning point during its formation due to accretion, within a cosmological context.

Contribution

It presents an exact self-consistent solution modeling a black-white hole formation with a turning point, including the effects of a cosmological constant, which is a novel approach.

Findings

Identification of a turning (bounce) point during black-white hole formation.

Demonstration that such black-white holes are not eternal, forming within an existing universe.

Analysis based on accretion of neutral dust shells with cosmological effects.

Abstract

A self-consistent exact solution for a Reissner-Nordstr\"om black-and-white hole formed as a result of accretion has been considered. Prior to the formation of a black-and-white hole, there is a bulk charged sphere at the center of the system. The occurrence of a turning (bounce) point in the newly formed black-and-white hole is investigated. The occurrence of a turning point was investigated by an example of solution for the accretion of a neutral spherical dust shell. The model equations are written with allowance for the cosmological $\Lambda$-term. Within the model under consideration, both the black-and-white hole and its turning point are formed in the already existing Universe; therefore, the black-and-white hole in this model is not <<eternal>>.