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It was previously proved that the G\"{o}del-type metrics with flatthree-dimensional background metric solve exactly the field equations of theEinstein-Aether theory in four dimensions. We generalize this result by showingthat the stationary G\"{o}del-type metrics with nonflat background in $D$dimensions solve exactly the field equations of the Einstein-Aether theory. Thereduced field equations are the $(D-1)$-dimensional Euclidean Ricci-flat andthe $(D-1)$-dimensional source-free Maxwell equations, and the parameters ofthe theory are left free except $c_{1}-c_{3}=1$. We give a method to produceexact solutions of the Einstein-Aether theory from the G\"{o}del-type metricsin $D$ dimensions. By using this method, we present explicit exact solutions tothe theory by considering the particular cases: ($D-1$)-dimensional Euclideanflat, conformally flat, and Tangherlini backgrounds.

Godel Type Metrics in Einstein-Aether Theory II: Nonflat Background in Arbitrary Dimensions