Mixed Elliptic and Hyperbolic Systems for the Einstein Equations

Y. Choquet-Bruhat; J. W. York,

Mixed Elliptic and Hyperbolic Systems for the Einstein Equations

广义相对论与量子宇宙学 2012-08-27 v1

作者: Y. Choquet-Bruhat , J. W. York,

摘要

We analyse the mathematical underpinnings of a mixed hyperbolic-elliptic form of the Einstein equations of motion in which the lapse function is determined by specified mean curvature and the shift is arbitrary. We also examine a new recently-published first order symmetric hyperbolic form of the equations of motion. This paper is dedicated to Andre Lichnerowicz on the occasion of his 80th birthday and will appear in a volume edited by G. Ferrarese.

关键词

n-body problem einstein's theory of relativity

引用

@article{arxiv.gr-qc/9601030,
  title  = {Mixed Elliptic and Hyperbolic Systems for the Einstein Equations},
  author = {Y. Choquet-Bruhat and J. W. York,},
  journal= {arXiv preprint arXiv:gr-qc/9601030},
  year   = {2012}
}

备注

tex, 14 pages, no figures

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