Wormholes admitting conformal Killing vectors and supported by generalized Chaplygin gas

TL;DR

This paper presents a method to derive wormhole solutions supported by generalized Chaplygin gas that admit conformal Killing vectors, linking geometric symmetry with exotic matter models.

Contribution

It introduces a novel approach combining conformal symmetry and generalized Chaplygin gas to obtain complete wormhole solutions.

Findings

Wormhole solutions supported by generalized Chaplygin gas are constructed.

The solutions admit conformal Killing vectors, indicating specific geometric symmetries.

The approach provides insights into the stress-energy tensor requirements for such wormholes.

Abstract

When Morris and Thorne first proposed that traversable wormholes may be actual physical objects, they concentrated on the geometry by specifying the shape and redshift functions. This mathematical approach necessarily raises questins regarding the determination of the required stress-energy tensor. This paper discusses a natural way to obtain a complete wormhole solution by assuming that the wormhole (1) is supported by generalized Chaplygin gas and (2) admits conformal Killing vectors.