Stability of Einstein-Maxwell-Kalb-Ramond Wormholes

TL;DR

This study explores the stability and physical properties of Einstein-Maxwell-Kalb-Ramond wormholes, revealing conditions under which they are stable or non-traversable due to tension characteristics.

Contribution

It introduces a model of charged wormholes in a Kalb-Ramond field background and analyzes their stability and traversability through numerical solutions of Einstein's equations.

Findings

Tension is positive away from the throat for certain charges.

Tension becomes negative near the throat, rendering the wormhole non-traversable.

Wormholes are quasi-stable against gravitational instanton decay.

Abstract

This paper investigates a particular type of wormhole. The wormhole solutions studied are obtained by sewing together two static, spherically symmetric, charged black-hole metrics at their horizons. The charged wormholes are in a background Kalb-Ramond field, which is the source of the necessary tension in the gravitational field. The metric-tensor elements are studied by numerically solving Einstein's equations with stress-energy-tensor elements given by the combination of static electric and Kalb-Ramond fields. For a certain range of electric charge the tension is positive away from the wormhole throat, but the tension is negative near the throat, making it non-traversable. The wormholes are found to be quasi-stable against decay via gravitational instanton tunnelling.