Modified Chaplygin Traversable Wormholes

TL;DR

This paper derives exact solutions for static wormholes supported by modified Chaplygin gas, analyzing their physical properties and the parameter restrictions necessary for their existence.

Contribution

It presents the first exact solutions of Einstein equations describing wormholes with inhomogeneous modified Chaplygin gas, including analysis of their physical characteristics.

Findings

Wormhole solutions depend on specific parameter restrictions.

Physical properties of the wormholes are thoroughly analyzed.

Conditions for the existence of wormholes are established.

Abstract

The modified Chaplygin gas (MCG) is a strong candidate for the unified model of dark matter and dark energy. The equation of state of this modified model is valid from the radiation era to the $\Lambda$CDM model. In early epoch (when $\rho$ was large), dark matter had the dominant role while at later stages (when $\rho$ is small), the MCG model behaves as dark energy. In this work, we have found exact solution of static spherically symmetric Einstein equations describing a wormhole for an inhomogeneous distribution of modified Chaplygin gas. For existence of wormhole solution, there are some restrictions relating the parameters in the equation of state for MCG and the throat radius of the wormhole. Physical properties and characteristics of these modified Chaplygin wormholes are analyzed in details.