The article discusses and substantiates a self-consistent approach to the macroscopic description of systems with gravitational interaction. Corrections to the equation of state of the fluid are found, based on the macroscopic Einstein equations which were obtained by averaging over microscopic spherically symmetric metric fluctuations created by primordial black holes in a fluid medium. It is shown that these corrections are effectively equivalent to addition to the system of a fluid with the equation of state p = −ε. In addition, it is shown that, in this case, the mass of black holes can grow at a modern stage of evolution to very large values.

中文翻译：

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流体和黑洞的自洽场方法和宏观宇宙

本文讨论并证实了自洽方法对具有引力相互作用的系统的宏观描述。基于宏观的爱因斯坦方程，可以找到对流体状态方程的校正，该方程是通过对由流体介质中原始黑洞产生的微观球形对称度量波动进行平均而获得的。结果表明，这些校正实际上等效于状态方程为p = -ε的流体系统的加法运算。此外，还表明，在这种情况下，黑洞的质量可以在进化的现代阶段增长到非常大的值。