KILLING SPINORS AND SEPARABILITY OF RARITA-SCHWINGER EQUATION IN TYPE-(2,2) BACKGROUNDS

被引：13

作者：

SILVAORTIGOZA, G ^{[1
]}

机构：

[1] IPN,CTR INVEST & ESTUD AVANZADOS,DEPT FIS,MEXICO CITY 07000,DF,MEXICO

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 12期

关键词：

D O I：

10.1063/1.531199

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that in a type {2,2} solution of the Einstein vacuum field equations, which admits a two-index Killing spinor, a differential operator can be constructed that maps a solution of the Rarita-Schwinger equation into a solution of its complex conjugate. Furthermore, by considering the Plebanski-Demianski metric, which contains all the vacuum type {2,2} metrics, it is shown that the separable solutions of the Rarita-Schwinger equation are eigenfunctions of a certain differential operator with the Starobinsky constant as the eigenvalue. (C) 1995 American Institute of Physics.

引用

页码：6929 / 6936

页数：8

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