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G\"{o}del-type metrics that are homogeneous in both space and time remain,like the Schwarzschild metric, consistent within Chern-Simons modified gravity;this is true in both the non-dynamical and dynamical frameworks, each of whichinvolves an additional pseudoscalar field coupled to the Pontryagin density. Inthis paper, we consider stationary first-order perturbations to these metricsin the non-dynamical framework. Under certain assumptions we find analyticalsolutions to the perturbed field equations. The solutions of the first-orderfield equations break the translational and cylindrical symmetries of theunperturbed metrics. The effective potential controlling planar geodesic orbitsis also affected by the perturbation parameter, which changes the equilibriumradii for the orbits of both massive particles and massless photons.

First-order perturbations of G\"{o}del-type metrics in non-dynamical Chern-Simons modified gravity