English

Einstein's equations in Ashtekar's variables constitute a symmetric hyperbolic system

General Relativity and Quantum Cosmology 2009-10-30 v1

Abstract

We show that the 3+1 vacuum Einstein field equations in Ashtekar's variables constitutes a first order symmetric hyperbolic system for arbitrary but fixed lapse and shift fields, by suitable adding to the system terms proportional to the constraint equations.

Keywords

Cite

@article{arxiv.gr-qc/9710004,
  title  = {Einstein's equations in Ashtekar's variables constitute a symmetric hyperbolic system},
  author = {Mirta S. Iriondo and Enzo O. Leguizamón and Oscar A. Reula},
  journal= {arXiv preprint arXiv:gr-qc/9710004},
  year   = {2009}
}

Comments

4 pages, revteX

R2 v1 2026-07-22T12:53:38.627Z