We consider a cosmological model with dark matter in the form of $\sim 10^{-12}{M}_{\odot }$ primordial black holes in dense weakly relativistic clusters with masses $18$–$560M_{\odot }$. It is shown that during the multiple collisions of the black holes the $\sim 10$% of the initial cluster mass can be transformed into gravitational waves in the time interval from recombination to the redshifts $z\ge 10$. At the recombination epoch, the density of matter was larger by $\sim 10$% and, accordingly, the universe expansion rate was higher. This leads to a shortening of the sound horizon scale, as is necessary to solve the “$H_0$ tension” problem.

中文翻译：

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极端星团中原始黑洞的合并与 $H_0$ 紧张

我们考虑一个具有暗物质形式的宇宙学模型，其形式为 $〜\mathrm{1个}{0}^{-12}{\mathrm{中号}}_{\odot }$ 密集的弱相对论群中有质量的原始黑洞 $\mathrm{18岁}$–$560{\mathrm{中号}}_{\odot }$。结果表明，在黑洞多次碰撞中，$〜10$从重组到红移的时间间隔内，初始簇质量的％可以转化为引力波 $ž\ge 10$。在重组时期，物质的密度增大了$〜10$％，因此，宇宙膨胀率较高。这导致音域范围的缩短，这是解决“$H_0$ 紧张”问题。