Rotating traversable wormholes in Einstein-Maxwell theory

It is well-known that traversable wormhole solutions to the Einstein equations require the existence of an exotic matter source violating the null energy condition. An apparent exception is the overcharged Kerr-Newman-NUT solution of the Einstein-Maxwell equations, which has all the properties of a...

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Main Authors: Gérard Clément, Dmitri Gal'tsov
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323000114
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author Gérard Clément
Dmitri Gal'tsov
author_facet Gérard Clément
Dmitri Gal'tsov
author_sort Gérard Clément
collection DOAJ
description It is well-known that traversable wormhole solutions to the Einstein equations require the existence of an exotic matter source violating the null energy condition. An apparent exception is the overcharged Kerr-Newman-NUT solution of the Einstein-Maxwell equations, which has all the properties of a geodesically complete, traversable wormhole spacetime. We show that the exotic matter sourcing this consists in two counter-rotating tensionless straight cosmic strings — the Misner-Dirac strings — which, as expected, violate the null energy condition. The wormhole possesses an ergoregion, but no superradiance. The geodesic motion in this spacetime is briefly discussed, and the absence of closed circular null geodesics is demonstrated.
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spelling doaj.art-2b5d48df73a8489a81584ec30827fde52023-02-16T04:17:31ZengElsevierPhysics Letters B0370-26932023-03-01838137677Rotating traversable wormholes in Einstein-Maxwell theoryGérard Clément0Dmitri Gal'tsov1LAPTh, Université Savoie Mont Blanc, CNRS, 9 chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux cedex, France; Corresponding author.Faculty of Physics, Moscow State University, 119899, Moscow, Russia; Kazan Federal University, 420008 Kazan, RussiaIt is well-known that traversable wormhole solutions to the Einstein equations require the existence of an exotic matter source violating the null energy condition. An apparent exception is the overcharged Kerr-Newman-NUT solution of the Einstein-Maxwell equations, which has all the properties of a geodesically complete, traversable wormhole spacetime. We show that the exotic matter sourcing this consists in two counter-rotating tensionless straight cosmic strings — the Misner-Dirac strings — which, as expected, violate the null energy condition. The wormhole possesses an ergoregion, but no superradiance. The geodesic motion in this spacetime is briefly discussed, and the absence of closed circular null geodesics is demonstrated.http://www.sciencedirect.com/science/article/pii/S0370269323000114
spellingShingle Gérard Clément
Dmitri Gal'tsov
Rotating traversable wormholes in Einstein-Maxwell theory
Physics Letters B
title Rotating traversable wormholes in Einstein-Maxwell theory
title_full Rotating traversable wormholes in Einstein-Maxwell theory
title_fullStr Rotating traversable wormholes in Einstein-Maxwell theory
title_full_unstemmed Rotating traversable wormholes in Einstein-Maxwell theory
title_short Rotating traversable wormholes in Einstein-Maxwell theory
title_sort rotating traversable wormholes in einstein maxwell theory
url http://www.sciencedirect.com/science/article/pii/S0370269323000114
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