Stability of Einstein-Maxwell-Kalb-Ramond Wormholes
arXiv:1510.00758 · doi:10.1103/PhysRevD.93.044014
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.
8 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1108.1184
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