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arXiv 0910.0102gr-qcastro-ph.COhep-th
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由动态自相互作用驱动的宇宙加速膨胀

Accelerated expansion of the Universe driven by dynamic self-interaction

A. B. Balakin, H. Dehnen

摘要:

我们建立了一个新的模型,该模型考虑了引力系统的动态(惯性)自相互作用。该模型是通过引入一个新的功能取决于作为一个整体的系统的速度四向量的协变导数的平方到拉格朗日公式。这个术语既用来描述系统在引力场中作不规则运动时的自作用,也用来描述运动不规则性对引力场的反作用。在宇宙学常数为零的FLRW型宇宙学模型框架下,讨论了扩展主方程精确解的一个例子。它表明,宇宙的加速膨胀可以由具有正压的传统物质(例如,灰尘,超相对论流体),由于重力场的反作用引起的不规则运动的系统作为一个整体;这种反作用的特点是负有效压力。

英文摘要:

We establish a new model, which takes into account a dynamic (inertial) self-interaction of gravitating systems. The model is formulated by introduction of a new function depending on the square of the covariant derivative of the velocity four-vector of the system as a whole into the Lagrangian. This term is meant for description of both self-action of the system irregularly moving in the gravitational field, and back-reaction of the motion irregularities on the gravity field. We discuss one example of exact solution to the extended master equations in the framework of cosmological model of the FLRW type with vanishing cosmological constant. It is shown that accelerated expansion of the Universe can be driven by traditional matter with positive pressure (e.g., dust, ultrarelativistic fluid) due to the back-reaction of the gravity field induced by irregular motion of the system as a whole; this back-reaction is shown to be characterized by the negative effective pressure.

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