https://doi.org/10.1140/epjc/s10052-015-3770-5
Regular Article - Theoretical Physics
Hypocycloidal throat for 
-dimensional thin-shell wormholes
Department of Physics, Eastern Mediterranean University, Gazimağusa, Turkey
* e-mail: habib.mazhari@emu.edu.tr
Received:
6
June
2015
Accepted:
23
October
2015
Published online:
19
November
2015
Recently we have shown that for -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 an angular dependent throat geometry embedded in a -dimensional flat spacetime in polar coordinates. It is shown that, remarkably, a generic, natural example of the throat geometry is provided by a hypocycloid. That is, two flat 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.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
