Euclidean wormholes with Phantom field and Phantom field accompanied by perfect fluid

TL;DR

This paper investigates Euclidean wormhole solutions in gravitational systems with Phantom fields, identifying conditions and potential forms that support such solutions, including cases with additional perfect fluid.

Contribution

It provides the first analysis of Euclidean wormholes with Phantom fields, deriving general potential forms that admit classical solutions, and explores cases with and without perfect fluid.

Findings

Existence of Euclidean wormhole solutions with Phantom fields.

Derived general Phantom field potentials supporting wormholes.

Identified conditions for wormhole solutions with perfect fluid.

Abstract

We study the classical Euclidean wormhole solutions for the gravitational systems with minimally coupled pure Phantom field and minimally coupled Phantom field accompanied by perfect fluid. It is shown that such solutions do exist and then the general forms of the Phantom field potential are obtained for which there are classical Euclidean wormhole solutions.