The four-dimensional Gödel spacetime is known to have the structure $M_3\times \Re$. It is also known that the three-dimensional factor $M_3$ is an exact solution of three-dimensional gravity coupled to a Maxwell-Chern-Simons theory. We build in this paper a $\mathcal{N}=2$ supergravity extension for this action and prove that the Gödel background preserves half of all supersymmetries.

• Received 25 April 2007

DOI:https://doi.org/10.1103/PhysRevD.75.125015