Constraints as evolutionary systems
Constraints as evolutionary systems
复制标题
作为进化系统的约束
DOI：
10.1088/0264-9381/33/1/015014
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发表时间：
2015
影响因子：
3.5
通讯作者：
I. Rácz
中科院分区：
文献类型：
--
作者：
I. Rácz
考虑了满足爱因斯坦场方程组的(n+1)维光滑(n≥)黎曼空间或洛伦兹空间的约束方程。结果表明，无论主空间的特征如何，约束都可以表示为演化系统的形式，该演化系统包括一阶对称双曲组和抛物型方程，或者可对称化的双曲组和辅助代数关系。在这两种情况下，还讨论了解的(局部)存在性和唯一性。
The constraint equations for smooth (n + 1)-dimensional (with n ≥ 3 ?> ) Riemannian or Lorentzian spaces satisfying the Einstein field equations are considered. It is shown, regardless of the signature of the primary space, that the constraints can be put into the form of an evolutionary system comprising either a first order symmetric hyperbolic system and a parabolic equation or, alternatively, a symmetrizable hyperbolic system and a subsidiary algebraic relation. In both cases the (local) existence and uniqueness of solutions are also discussed.