English

Comments On Torsion and MacDowell-Mansouri gravity

General Relativity and Quantum Cosmology 2021-05-18 v2

Abstract

Starting with the MacDowell-Mansouri formulation of gravity with a SO(4,1)SO(4,1) gauge group, we introduce new parameters into the action to include the non-dynamical Holst term, and the topological Nieh-Yan and Pontryagin classes. Then, we consider the new parameters as fields and analyze the solutions coming from their equations of motion. The new fields introduce torsional contributions to the theory that modify Einstein's equations.

Keywords

Cite

@article{arxiv.1401.1838,
  title  = {Comments On Torsion and MacDowell-Mansouri gravity},
  author = {J. C. López-Domínguez and J. E. Rosales-Quintero and M. Sabido},
  journal= {arXiv preprint arXiv:1401.1838},
  year   = {2021}
}

Comments

14 pages, no figures, matches published version

R2 v1 2026-06-22T02:41:44.192Z