Self-adjoint Operators and Conserved Currents

被引：5

作者：

G. F. Torres Del Castillo

J. C. Flores-Urbina

机构：

来源：

General Relativity and Gravitation | 1999年 / 31卷 / 9期

关键词：

CONSERVED CURRENTS; LINEARIZED EINSTEIN EQUATIONS;

D O I：

10.1023/A:1026728925374

中图分类号：

学科分类号：

摘要：

It is shown that there exists a conservedcurrent associated with any system of homogeneous linearpartial differential equations that can be written interms of a self-adjoint operator. By showing that the linearized Einstein-Maxwell,Einstein-Klein-Gordon and Einstein-Weyl equations can beexpressed in terms of self-adjoint operators, aconserved current is obtained in each case. Theconserved current associated with the perturbations of solutionsof the Einstein and the Einstein-Maxwell equationscoincides with the symplectic current found by otherauthors.

引用

页码：1315 / 1325

页数：10

共 14 条

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