Analysis shows Gödel's spacetime is a solution in nonlocal gravity, indicating differences from general relativity.
The Gödel universe is considered within the context of the local limit of nonlocal gravity. This theory differs from Einstein's general relativity (GR) through the existence of a scalar susceptibility function that is a characteristic feature of the gravitational field and vanishes in the GR limit. It is shown that Gödel's spacetime is a solution of the modified gravitational field equations provided is a constant, in conformity with the spatial homogeneity of the Gödel universe.
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Mardaninezhad et al. (2025) studied this question.
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