Regular Article - Theoretical Physics
Hypocycloidal throat for -dimensional thin-shell wormholes
Department of Physics, Eastern Mediterranean University, Gazimağusa, Turkey
* e-mail: email@example.com
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