Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-30
J.Math.Phys. 43 (2002) 2486
Physics
High Energy Physics
High Energy Physics - Theory
27 pages ReVTeX, added references and discussion. To be published in J. Math. Phys
Scientific paper
10.1063/1.1467967
In this paper we construct and analyze new classes of wormhole and flux tube-like solutions for the 5D vacuum Einstein equations. These 5D solutions possess generic local anisotropy which gives rise to a gravitational running or scaling of the Kaluza-Klein ``electric'' and ``magnetic'' charges of these solutions. It is also shown that it is possible to self-consistently construct these anisotropic solutions with various rotational 3D hypersurface geometries (i.e. ellipsoidal, cylindrical, bipolar and toroidal). The local anisotropy of these solutions is handled using the technique of anholonomic frames with their associated nonlinear connection structures [vst]. Through the use of the anholonomic frames the metrics are diagonalized, in contrast to holonomic coordinate frames where the metrics would have off-diagonal components. In the local isotropic limit these solutions are shown to be equivalent to spherically symmetric 5D wormhole and flux tube solutions.
Singleton Doug
Vacaru Sergiu I.
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