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AT3 - Wormholes, Energy Conditions and Time Machines

Speaker

Volkov , Michael

Coauthors

Gary W. Gibbons and Mikhail S. Volkov

Talk Title

Weyl metrics and wormholes

Abstract

We apply duality rotations and complexifications to the vacuum Weyl metrics generated by massive rods or by point masses. As a first step this gives families of prolate and oblate vacuum metrics. Further duality transformations produce a scalar field from the vacuum, which can be either the conventional scalar or the phantom field with negative kinetic energy. This gives rise to large classes of static, axially symmetric solutions, presumably including all previously known solutions for gravity-coupled massless scalar field. Especially interesting are the oblate solutions which, irrespectively of whether they are coupled to a scalar or not, describe wormholes connecting several asymptotic regions. In the one-wormhole sector they reduce to the ring wormholes in the vacuum case and to the Bronnikov-Ellis wormhole in the phantom case. We study the two-wormhole solutions and find that two of their four asymptotic regions are completely regular while two others contain an infinitely long strut along the symmetry axis.

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