2015/10/23 by S. Habib Mazharimousavi, M. Halilsoy
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Engineering #Geometry #Mathematics #Mechanical engineering #Physics #Polar coordinate system #Shell (structure) #Throat #Wormhole #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-015-3770-5
published as Eur. Phys. J. C 75, 540 (2015) · 5 pages, 3 figures accepted for publication in EPJC
arxiv created 2015/10/23 · openalex publication_date 2015/11/01 · arxiv updated 2016/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 an angular dependent throat geometry embedded in a 2+1 -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 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.