Description
The complete set of covariant equations that govern the locally rotationally symmetric torsion spacetimes sourced by Weyssenhoff fluid in Einstein-Cartan-Sciama-Kibble gravity is presented. Using these equations, one can explore in detail the peculiar relationship between conformal structure and torsion. A comprehensive scheme to categorize these torsional spacetimes into distinct classes is developed. Further, the properties of each class are explicitly analyzed and novel analytical solutions to the gravitational field equations are obtained.