On closed rotating worlds
Thoralf Chrobok, Yuri N. Obukhov, and Mike Scherfner
TL;DR
This paper presents a new solution for a stationary closed universe with rigid rotation, linking local matter spin and vorticity to the global cosmic vorticity under specific angular momentum conditions.
Contribution
It introduces a novel model connecting local rotation and vorticity with the overall cosmic vorticity in a closed universe with zero total angular momentum.
Findings
Spin and vorticity are locally balanced.
The model suggests local rotation relates to global vorticity.
Total angular momentum of the universe is zero.
Abstract
A new solution for the stationary closed world with rigid rotation is obtained for the spinning fluid source. It is found that the spin and vorticity are locally balanced. This model qualitatively shows that the local rotation of the cosmological matter can be indeed related to the global cosmic vorticity, provided the total angular momentum of the closed world is vanishing.
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