在RW时空中与引力相互作用的自旋场不可能具有“类标准”形式

A. Zecca
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引用次数: 4

摘要

证明了如果爱因斯坦场方程与自旋为s > 1/2的大质量自旋场方程耦合,则自旋场在Robertson Walker时空中不可能具有标准解的形式,也不可能是标准解的叠加。对于标准解是指之前由RW时空中变量分离决定的旋量场方程的广泛解类。这个结果是对费米子场的一个类似结果的扩展,之前在RW时空中对大质量玻色子和爱因斯坦-狄拉克方程得到了类似结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A spin field interacting with gravity in RW space-time cannot have a "standard-like" form
It is shown that if the Einstein field equation is coupled to the massive spinor field equation of spin s > 1/2, then the spin field cannot have the form of a standard solution nor to be superposition of standard solutions in Robertson Walker space-time. For standard solutions are meant the wide class of solutions of the spinor field equations previously determined by variable separation in RW space-time. The result is an extension to the fermion field case of a similar result previously obtained for massive bosons and for the Einstein-Dirac equation in RW space time.
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