We consider the modified gravity whose action represents itself as a sum of the usual Einstein-Hilbert action and the gravitational Chern-Simons term and show that the G\"{o}del metric solves the modified equations of motion, thus proving that the closed timelike curves whose presence is characteristic for the G\"{o}del solution are not forbidden in the case of the Chern-Simons modified gravity as well.
@article{arxiv.0906.0554,
title = {The G\"{o}del solution in the modified gravity},
author = {C. Furtado and T. Mariz and J. R. Nascimento and A. Yu. Petrov and A. F. Santos},
journal= {arXiv preprint arXiv:0906.0554},
year = {2009}
}