Locally rotationally symmetric spacetimes in Einstein-Cartan theory and their classification
Phys. Rev. D 112, 064075 – Published 24 September, 2025
DOI: https://doi.org/10.1103/9m6d-rgv3
Abstract
We present the complete set of covariant equations that govern the locally rotationally symmetric torsion spacetimes sourced by Weyssenhoff fluid in Einstein-Cartan-Sciama-Kibble gravity. Using these equations, we can explore in detail the peculiar relationship between conformal structure and torsion. We develop a comprehensive scheme to categorize these torsional spacetimes into distinct classes. We explicitly analyze the properties of each class and obtain novel analytical solutions to the gravitational field equations.
