English

Hyperbolic Equations for Vacuum Gravity Using Special Orthonormal Frames

General Relativity and Quantum Cosmology 2009-10-30 v3

Abstract

By adopting Nester's higher dimensional special orthonormal frames (HSOF) the tetrad equations for vacuum gravity are put into first order symmetric hyperbolic (FOSH) form with constant coefficients, independent of any time slicing or coordinate specialization.

Cite

@article{arxiv.gr-qc/9703072,
  title  = {Hyperbolic Equations for Vacuum Gravity Using Special Orthonormal Frames},
  author = {Frank B. Estabrook and R. Steve Robinson and Hugo D. Wahlquist},
  journal= {arXiv preprint arXiv:gr-qc/9703072},
  year   = {2009}
}

Comments

14 pages, 3 figures, LaTeX, 13 macros. CQG 14 (1997) 1237-1247 has algebraic errors. +/- signs in Equations (2), (4) and (5) are here corrected, and factors of 2 added to Eqs. (18) and (19)

R2 v1 2026-07-22T12:52:56.181Z