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