Wormhole supported by dark energy admitting conformal motion

TL;DR

This paper explores static, spherically symmetric wormholes supported by dark energy that admit conformal motion, analyzing their properties, potential detection via gravitational lensing, and energy considerations within Einstein gravity.

Contribution

It introduces a model of wormholes supported by dark energy with conformal symmetry, linking matter properties to geometric structure in a novel way.

Findings

Dark energy can support traversable wormholes.

Wormholes may be detectable through gravitational lensing.

Total gravitational energy inside wormholes is analyzed.

Abstract

In this article, we study the possibility of sustaining a static and spherically symmetric traversable wormhole geometries admitting conformal motion in Einstein gravity, which presents a more systematic approach to search a relation between matter and geometry. In wormhole physics, the presence of exotic matter is a fundamental ingredient and we show that this exotic source can be dark energy type which support the existence of wormhole spacetimes. In this work we model a wormhole supported by dark energy which admits conformal motion. We also discuss the possibility of detection of wormholes in the outer regions of galactic halos by means of gravitational lensing. The studies of the total gravitational energy for the exotic matter inside a static wormhole configuration are also done.