Stability of Einstein-Kalb-Ramond Wormholes

TL;DR

This paper explores the stability of a specific class of wormholes formed by connecting black hole metrics, demonstrating conditions under which they can be quasi-stable against tunneling to the vacuum.

Contribution

It introduces a model of Einstein-Kalb-Ramond wormholes and analyzes their stability, linking their properties to the parameters of the underlying fields and metrics.

Findings

Wormholes are constructed by sewing black hole metrics at horizons.

The mass and charge are expressed in terms of density, tension, and pressure.

Proper parameter choices can make these wormholes quasi-stable against tunneling.

Abstract

This paper investigates a particular type of wormhole. The wormholes studied are the result of sewing together two Reissner-Nordstrom-type black hole metrics at their horizons. By requiring the stress-energy tensor associated with this geometry to be that of a Kalb-Ramond field, we obtain the mass and Kalb-Ramond charge of the wormholes in terms of the parameters describing the mass density, tension and pressure. We show by direct calculation of the action of these wormholes that they can be made quasi-stable against tunnelling to the vacuum via gravitational instantons by a suitable choice of the parameters.