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Gödel’s stationary rotating solution is both locally rotationally symmetric and everywhere rotating. The material source of the Gödel metric is a pressure-free perfect fluid: the definition from wikipedia is "a homogeneous distribution of swirling dust particles". Each of these dust motes can be thought of as carrying a clock that measures proper ...


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I'm unsure if you're specifically asking about the Gödel spacetime or if your question is a more general one of whether time travel can exist. So let me try to give a general answer that addresses both. Einstein's equation tells us how the geometry of spacetime is related to the distribution of matter and energy. Leaving aside the vexed issue of quantum ...


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Gödel's rotating universe solution does allow for time travel (closed timelike curves), but it has nothing to do with wormholes--in such a universe one could travel into one's own past just by taking a rocket on a long-term looping path through space, from any starting location. This page discussing Gödel's solution includes a spacetime diagram showing how ...


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Can someone explain how the wormhole motion is valid as a diffeomorphism, which my limited understanding suggests is the only permitted type of manifold transformation in relativity. Diffeomorphisms are about coordinate transformations, and have nothing to do with anything physical. If, in a coordinate patch, you switch to a different coordinate system, ...



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