Scalar and spinor solutions in the spacetimes of vacuumless defects

TL;DR

This paper derives solutions to the Klein-Gordon and Dirac equations in the gravitational fields of vacuumless defects, analyzing how these defects influence energy levels and currents in scalar and spinor fields.

Contribution

It provides new solutions for scalar and spinor equations in vacuumless defect spacetimes, highlighting the defects' effects on physical quantities.

Findings

Energy levels are affected by the presence of vacuumless defects.

Current distributions are modified due to the defects.

Solutions reveal the role of defects in quantum field behavior in curved spacetime.

Abstract

We obtain solutions of the Klein-Gordon and Dirac equations in the gravitational fields of vacuumless defects. We calculate the energy levels and the current, respectively, in the scalar and spinor cases. In all these situations we emphasize the role played by the defects on the solutions, energy and current.