论文标题

早期宇宙的自洽场和宏观爱因斯坦方程的方法

The Method of Self-Consistent Field and Macroscopical Einstein Equations for the Early Universe

论文作者

Ignat'ev, Yu. G.

论文摘要

宇宙进化论的宏观描述的完整理论是在自洽场的帮助下构建的。该理论包括扰动进化和非线性宏观爱因斯坦方程的线性方程组以及标量场的方程。我们提供了系统解决方案的示例,这些示例显示了建立在同质和局部波动标量场上的早期宇宙的宇宙学模型的主要区别。 {\ bf关键字}:宏观引力,自洽场,宇宙学模型,标量场,平均局部波动,渐近行为,宇宙学奇异性。

The complete theory of cosmological evolution's macroscopic description is constructed with a help of self-consistent field. The theory includes a subsystem of linear equations of perturbations' evolution and nonlinear macroscopic Einstein equations and equations of a scalar field. We provide examples of system's solution which show the principal difference of the cosmological models of the early Universe built on homogenous and locally fluctuating scalar fields. {\bf Keywords}: macroscopic gravitation, self-consistent field, cosmological model, scalar fields, averaging of local fluctuations, asymptotical behavior, cosmological singularity.

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