English

Symmetric Hyperbolic System in the Self-dual Teleparallel Gravity

General Relativity and Quantum Cosmology 2009-11-10 v1

Abstract

In order to discuss the well-posed initial value formulation of the teleparallel gravity and apply it to numerical relativity a symmetric hyperbolic system in the self-dual teleparallel gravity which is equivalent to the Ashtekar formulation is posed. This system is different from the ones in other works by that the reality condition of the spatial metric is included in the symmetric hyperbolicity and then is no longer an independent condition. In addition the constraint equations of this system are rather simpler than the ones in other works.

Keywords

Cite

@article{arxiv.gr-qc/0408047,
  title  = {Symmetric Hyperbolic System in the Self-dual Teleparallel Gravity},
  author = {G. Y. Chee and Yongxin Guo},
  journal= {arXiv preprint arXiv:gr-qc/0408047},
  year   = {2009}
}

Comments

8 pages, no figures

R2 v1 2026-07-22T12:40:49.376Z