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arXiv · 2504.14537

G\"odel's Universe and the Local Limit of Nonlocal Gravity

Z. Mardaninezhad·B. Mashhoon
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Abstract

We consider the G\"odel universe 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 $S(x)$ that is a characteristic feature of the gravitational field and vanishes in the GR limit. We show that G\"odel's spacetime is a solution of the modified gravitational field equations provided $S$ is a constant, in conformity with the spatial homogeneity of the G\"odel universe.

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Z. Mardaninezhad, B. Mashhoon. 2025-04-20. G\"odel's Universe and the Local Limit of Nonlocal Gravity. https://doi.org/10.1002/andp.202500254

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