Initial-value problem of general relativity. III. Coupled fields and the scalar-tensor theory
Initial-value problem of general relativity. III. Coupled fields and the scalar-tensor theory
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广义相对论的初值问题。
DOI：
10.1103/physrevd.13.1532
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发表时间：
1976
期刊：
影响因子：
--
通讯作者：
J. York
中科院分区：
文献类型：
--
作者：
J. Isenberg;N. Murchadha;J. York
广义相对论的初值问题处理的情况下，外部源是电磁场或中微子场。考虑到这些领域必须满足的初始条件，我们表明，由此产生的方程在每种情况下形成一个准线性椭圆系统的类型，已被广泛处理在以前的工作。我们还处理的标量-张量引力理论的初值问题。在整个工作中，我们使用一阶“正则”引力变量。主要的数学工具是共形变换和协变分解的对称张量。（AIP）
The initial-value problem of general relativity is treated in the case where the external sources are electromagnetic or neutrino fields. Taking into account the initial conditions that must be satisfied by these fields, we show that the resulting equations in each case form a quasilinear elliptic system of a type that has been treated extensively in previous work. We also treat the initial-value problem of the scalar--tensor theory of gravitation. Throughout this work we use first-order ''canonical'' gravitational variables. The principal mathematical tools are conformal transformations and a covariant decomposition of symmetric tensors. (AIP)