First-order symmetric-hyperbolic Einstein equations with arbitrary fixed gauge
广义相对论与量子宇宙学
2009-10-28 v1
摘要
We find a one-parameter family of variables which recast the 3+1 Einstein equations into first-order symmetric-hyperbolic form for any fixed choice of gauge. Hyperbolicity considerations lead us to a redefinition of the lapse in terms of an arbitrary factor times a power of the determinant of the 3-metric; under certain assumptions, the exponent can be chosen arbitrarily, but positive, with no implication of gauge-fixing.
引用
@article{arxiv.gr-qc/9605005,
title = {First-order symmetric-hyperbolic Einstein equations with arbitrary fixed gauge},
author = {Simonetta Frittelli and Oscar A. Reula},
journal= {arXiv preprint arXiv:gr-qc/9605005},
year = {2009}
}
备注
5 pages; Latex with Revtex v3.0 macro package and style; to appear in Phys. Rev. Lett