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arXiv · 1511.00720

Hypocycloidal throat for 2+1-dimensional thin-shell wormholes

S. Habib Mazharimousavi·M. Halilsoy
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Abstract

Recently we have shown that for $2+1-$dimensional thin-shell wormholes a non-circular throat may lead to a physical wormhole in the sense that the energy conditions are satisfied. By the same token, herein we consider angular dependent throat geometry embedded in a $2+1-$dimensional flat spacetime in polar coordinates. It is shown that a generic, natural example of throat geometry is provided remarkably by a hypocycloid. That is, two flat $2+1-$dimensions are glued together along a hypocycloid. The energy required in each hypocycloid increases with the frequency of the roller circle inside the large one.

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S. Habib Mazharimousavi, M. Halilsoy. 2015-10-23. Hypocycloidal throat for 2+1-dimensional thin-shell wormholes. https://doi.org/10.1140/epjc%2Fs10052-015-3770-5

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