Evolution of a vacuum shell in the Friedman-Schwarzschild world
V. I. Dokuchaev, S. V. Chernov

TL;DR
This paper investigates the evolution of vacuum shells in the Friedman-Schwarzschild universe using effective potential methods, revealing conditions for black hole and wormhole formation during early universe phase transitions.
Contribution
It introduces a new analysis of vacuum shell dynamics in Friedman-Schwarzschild spacetime, including approximate solutions and conditions for complex structures like black holes and wormholes.
Findings
Conditions for black hole formation identified
Conditions for wormhole and baby universe formation established
Approximate solutions to shell equations derived
Abstract
The method of an effective potential is used to investigate the possible types of evolution of vacuum shells in the Friedman-Schwarzschild world. Such shells are assumed to emerge during phase transitions in the early Universe. The possible global geometries are constructed for the Friedman- Schwarzschild worlds. Approximate solutions to the equation of motion of a vacuum shell have been found. The conditions under which the end result of the evolution of the vacuum shells under consideration is the formation of black holes and wormholes with baby universes inside have been found. The interior of this world can be a closed, flat, or open Friedman universe.
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