Noncommutative geometry inspired wormholes with conformal motion

TL;DR

This paper presents a novel wormhole solution inspired by noncommutative geometry that admits conformal motion, analyzing its geometry, energy conditions, gravitational mass, and equilibrium, with a non-asymptotically flat spacetime joined to an exterior vacuum.

Contribution

It introduces a new noncommutative geometry-based wormhole model with conformal symmetry, including detailed analysis of its physical and geometric properties.

Findings

Wormhole admits conformal motion and noncommutative geometry effects.

Energy conditions are examined within the wormhole spacetime.

The spacetime is non-asymptotically flat and matched to an exterior solution.

Abstract

This paper discusses a new wormhole solution that admits conformal motion, given a noncommutative-geometry background. After a discussion of the wormhole geometry and the energy conditions, the analysis proceeds with the calculation of the active gravitational mass, a discussion of the TOV equation describing the equilibrium conditions, as well as the nature of the total gravitational energy. The wormhole spacetime is not asymptotically flat and is therefore cut off at some radial distance and joined to an exterior vacuum solution.