TL;DR
This paper demonstrates how to derive the rotating Goedel universe from a static universe through a geometric transformation, explaining rotation implementation and its implications for causality and the universe's structure.
Contribution
It introduces a method to construct the Goedel universe via a specific transformation, clarifying the rotation law and its effects on the universe's properties.
Findings
Rotation can be implemented geometrically.
Velocity exceeds light speed at a cutoff radius.
Closed time-like curves are absent in the Goedel universe.
Abstract
By a suitable transformation, we derive the rotating Goedel universe from a static one and we show, how rotation may be implemented geometrically. The rotation law turns out to be a differential one. By increasing distance from the rotation axis the velocity of a rotating point will exceed the velocity of light and the cosmos has a cut-off radius. Thus, closed time-like curves do not occur in the Goedel universe.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Algebraic and Geometric Analysis