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arXiv · 0709.1021

Spacetime structure of 5D hypercylindrical vacuum solutions with tension

Inyong Cho·Gungwon Kang·Sang Pyo Kim·Chul H. Lee
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Abstract

We investigate geometrical properties of 5D cylindrical vacuum solutions with a transverse spherical symmetry. The metric is uniform along the fifth direction and characterized by tension and mass densities. The solutions are classified by the tension-to-mass ratio. One particular example is the well-known Schwarzschild black string which has a curvature singularity enclosed by a horizon. We focus mainly on geometry of other solutions which possess a naked singularity. The light signal emitted by an object approaching the singularity reaches a distant observer with finite time, but is infinitely red-shifted.

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Inyong Cho, Gungwon Kang, Sang Pyo Kim, Chul H. Lee. 2008-09-17. Spacetime structure of 5D hypercylindrical vacuum solutions with tension. https://doi.org/10.3938/jkps.53.1089

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