The Godel metric in the Chern-Simons modified gravity
  We discuss the consistency of the Godel metric within the Chern-Simons modified gravity, both for external and dynamical Chern-Simons coefficients. 
C. Furtado, T. Mariz, J. R. Nascimento, A. Yu. Petrov, and A. F.   Santos
hep-th gr-qc