Causality aspects of the dynamical Chern-Simons modified gravity

Abstract

We discuss the G\"odel-type solutions within the dynamical Chern-Simons modified gravity in four dimensions. Within our study, we show that in the vacuum case causal solutions are possible that cannot take place within the nondynamical framework. Another result of ours consists in the possibility for completely causal solutions for all of the types of matter we study in the paper, that is, relativistic fluid, cosmological constant, scalar, and electromagnetic fields.