Locally rotationally symmetric spacetimes in Einstein-Cartan theory and their classification

Article

Locally rotationally symmetric spacetimes in Einstein-Cartan theory and their classification

Agarwal, U.; Carloni, S.

Phys. Rev. D 112(6), 064075 (2025)

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.

Institute authors

Carloni, Sante

BibTeX

@article{UTF1028,
  author        = {Agarwal, U. and Carloni, S.},
  title         = {{Locally rotationally symmetric spacetimes in Einstein-Cartan theory and their classification}},
  journal       = {Phys. Rev. D},
  volume        = {112},
  number        = {6},
  pages         = {064075},
  year          = {2025},
  doi           = {10.1103/9m6d-rgv3},
  eprint        = {2507.01840},
  archivePrefix = {arXiv},
  url           = {https://journals.aps.org/prd/abstract/10.1103/9m6d-rgv3},
}