The Gödel universe serves as the gravitational analog of a superconducting medium in the Meissner state.
Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity
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abstract
A moving dielectric medium acts as an effective gravitational field on light. One can use media with extremely low group velocities [Lene Vestergaard Hau et al., Nature 397, 594 (1999)] to create dielectric analogs of astronomical effects on Earth. In particular, a vortex flow imprints a long-ranging topological effect on incident light and can behave like an optical black hole.
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The G\"odel Universe as a Superconductor
The Gödel universe serves as the gravitational analog of a superconducting medium in the Meissner state.