Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification
General Relativity and Quantum Cosmology
2025-07-03 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2507.01840,
title = {Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification},
author = {Ujjwal Agarwal and Sante Carloni},
journal= {arXiv preprint arXiv:2507.01840},
year = {2025}
}
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19 pages