Analysis of Levi-Civita Spacetimes using the Cartan-Karlhede Algorithm

Here, a brief introduction to the Cartan-Karlhede algorithm is given. This algorithm allows for the (local) characterization of spacetimes and is applied to several of the Levi-Civita spacetimes. This method allows for the identification of the limits of several distinct spacetimes as a single solution, as well as uniquely characterize these solutions as a reference for future work.