Nonsingular Chaplygin gas cosmologies in universes connected by wormhole

TL;DR

This paper derives exact solutions to Einstein's equations with anisotropic fluids obeying the Chaplygin gas law, describing wormhole-connected cosmological models with diverse evolution scenarios.

Contribution

It introduces new exact solutions for anisotropic Chaplygin gas cosmologies connected by wormholes, expanding understanding of such exotic spacetime configurations.

Findings

Solutions include eternal expansion, contraction, and finite lifetime universes.

Models feature wormholes connecting T and R regions with distinct cosmological behaviors.

Spacetimes exhibit anisotropic Kantowski-Sachs cosmologies.

Abstract

We present some exact solutions of the Einstein equations with an anisotropic fluid exploiting the Chaplygin equation of state. The solutions describe spacetimes with two identical T regions and an intermediate static spherically symmetric R region containing a wormhole. The metric in the T region represents an anisotropic Kantowski-Sachs cosmological model. Its evolution starts from an event horizon and develops according to different scenarios including eternal expansion, contraction and also a finite universe lifetime.