Locally rotationally symmetric spacetimes of type II in f(Q) gravity

Article

Locally rotationally symmetric spacetimes of type II in f(Q) gravity

Esposito, F.; Carloni, S.; Vignilo, S.

Phys. Rev. D 112(4), 044051 (2025)

Abstract

We investigate the 1 + 1 + 2 covariant formalism in the presence of nonmetricity. Focusing on locally rotationally symmetric spacetimes, we show how nonmetricity affects all the kinematic quantities involved in the covariant 1 + 1 + 2 decomposition. We apply the resulting geometrical framework to study both homogeneous solutions and static spherically symmetric solutions in the context of f(Q) gravity. We obtain sufficient conditions for homogeneous solutions with flat spatial hypersurfaces and Schwarzschildde Sitter type solutions in the 1 + 1 + 2 formalism. We also explore an elementary gravastar solution utilizing covariant junction conditions.

Institute authors

Carloni, Sante

BibTeX

@article{UTF1029,
  author        = {Esposito, F. and Carloni, S. and Vignilo, S.},
  title         = {{Locally rotationally symmetric spacetimes of type II in f(Q) gravity}},
  journal       = {Phys. Rev. D},
  volume        = {112},
  number        = {4},
  pages         = {044051},
  year          = {2025},
  doi           = {10.1103/17rf-2368},
  eprint        = {2311.17669},
  archivePrefix = {arXiv},
}