Godel and Godel-type metrics satisfy the curvature-squared field equations as causal solutions with all Weyl tensor contributions removed, while an axially symmetric metric shows Weyl-dependent modifications to energy density and the weak energy condition.
An Example of a New Type of Cosmological Solutions of Einstein’s Field Equations of Gravitation
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Causality Violating Solutions in Curvature-Squared Gravity
Godel and Godel-type metrics satisfy the curvature-squared field equations as causal solutions with all Weyl tensor contributions removed, while an axially symmetric metric shows Weyl-dependent modifications to energy density and the weak energy condition.