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Linear Perturbations on the Cosmological Background in the Relativistic Theory of Gravitation: I. Theory

机译:相对论引力理论中宇宙学背景的线性摄动:I.理论

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摘要

We have derived a system of second-order ordinary differential equations to describe the evolution of small perturbations in the gravitational field and matter characteristics in RTG, with the cosmological solution being a background. These equations are shown to admit the effective gauge invariance, since the graviton mass can be neglected in most cases of interest. The standard expansion in scalar, vector, and tensor components is performed. The equations have been derived for each component.
机译:我们导出了一个二阶常微分方程组,以宇宙学解为背景,描述了重力场中小扰动的演化和RTG中的物质特征。这些方程式显示出有效的量规不变性,因为在大多数情况下,重力质量可以忽略。执行标量,矢量和张量分量的标准扩展。已为每个组件导出了方程式。

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