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Holonomy classification, gyroscope precession, and Landau levels in Gödel-type spacetimes and their superfluid analog
We derive the parallel-transport holonomies of circles centered on the symmetry axis in the homogeneous Gödel-type family of Rebouças and Tiomno, which includes the Gödel universe, the causal member with $m^2=4Ω^2$, and the Som--Raychaudhuri limit. The holonomy is governed by a single invariant $Δ(r
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