Morris-Thorne Wormhole in the Vector-Tensor theories with Abelian gauge symmetry breaking

TL;DR

This paper constructs a Morris-Thorne wormhole solution within vector-tensor theories with broken Abelian gauge symmetry, analyzing the effects of vector fields on the wormhole's geometry and energy conditions.

Contribution

It introduces a novel wormhole model supported by anisotropic matter and a non-minimally coupled vector field with broken gauge symmetry, including a method to handle radial vector potentials.

Findings

The vector field significantly influences the wormhole geometry.

A thin shell approach resolves inconsistencies at the throat.

Energy conditions are analyzed for the constructed wormhole.

Abstract

We construct an asymptotically flat Morris-Thorne wormhole solution supported by anisotropic matter fluid and a vector field which is coupled to gravity in a non-minimal way with broken Abelian gauge symmetry. In this paper, a specific shape function is considered. We find that the ansatz of vector field plays a significant role in determining the spacetime geometry of the wormhole. If there exists the electrostatic potential only, the redshift function could be considered as a constant value, implying the vanishing tidal force. However, when the vector potential in radial-direction is involved, the r-component of extended Maxwell equations at the wormhole's throat is invalid. To solve this issue, a thin shell is introduced near the throat, dividing the spacetime into two parts. Furthermore, it is proved that the spacetime geometry of wormhole could be smooth at junction position if the expressions of redshift function and vector potential are given appropriately. Finally, the energy conditions and the volume integral quantifer are explored.