Thin-shell wormhole with a background Kalb-Ramond Field

TL;DR

This paper constructs a thin-shell wormhole influenced by a Lorentz-violating Kalb-Ramond field, analyzing its physical properties, stability, and energy conditions within a modified black hole framework.

Contribution

It introduces a novel wormhole model based on a background Kalb-Ramond field and examines its stability and physical characteristics.

Findings

Violates null and weak energy conditions

Satisfies strong energy condition

Stable under small radial perturbations

Abstract

The Kalb-Ramond field is a background tensor field that arises in string theory and violates local Lorentz symmetry of spacetime, upon acquiring the Vacuum Expectation Value. A non-minimal coupling between the Kalb-Ramond VEV and the Ricci tensor may give rise to a modified black hole solution. Considering two copies of such black holes, we construct a thin-shell wormhole using the Cut-and-Paste technique. Then we investigate key physical properties of the wormhole like pressure-density profile, equation of state, the geodesic motion of test particles near the wormhole throat, and the total amount of exotic matter in the throat, and examine how these properties vary with the Lorentz-Violating parameters. We find that the wormhole model violates the null and weak energy conditions, but satisfies the strong energy condition. On top of that, the velocity of the throat radius is found considering its time evolution. Finally, we analyze its linear stability against small radial perturbations.