English

Degenerate spacetimes in first order gravity

General Relativity and Quantum Cosmology 2016-04-26 v2

Abstract

We present a systematic framework to obtain the most general solutions of the equations of motion in first order gravity theory with degenerate tetrads. There are many possible solutions. Generically, these exhibit non-vanishing torsion even in the absence of any matter coupling. These solutions are shown to contain a special set of eight configurations which are associated with the homogeneous model three-geometries of Thurston.

Keywords

Cite

@article{arxiv.1602.04559,
  title  = {Degenerate spacetimes in first order gravity},
  author = {Romesh K. Kaul and Sandipan Sengupta},
  journal= {arXiv preprint arXiv:1602.04559},
  year   = {2016}
}

Comments

Identical with the journal version

R2 v1 2026-06-22T12:50:07.747Z