The Godel metric in the Chern-Simons modified gravity

TL;DR

This paper examines whether the Godel metric, which describes rotating universes, remains consistent within the framework of Chern-Simons modified gravity, considering both fixed and dynamic Chern-Simons coefficients.

Contribution

It analyzes the compatibility of the Godel metric with Chern-Simons modified gravity, including cases with external and dynamical coefficients, providing insights into the theory's solutions.

Findings

Godel metric can be consistent with Chern-Simons gravity under certain conditions.

The nature of Chern-Simons coefficients affects the metric's consistency.

The study clarifies the role of dynamical coefficients in modified gravity solutions.

Abstract

We discuss the consistency of the Godel metric within the Chern-Simons modified gravity, both for external and dynamical Chern-Simons coefficients.