引力束缚系统与宇宙膨胀的退耦
Decoupling between gravitationally bounded systems and the cosmic expansion
AI总结：
本文基于广义相对论的局域性原理证明引力束缚系统内部不感知宇宙膨胀，指出超大质量黑洞与宇宙膨胀耦合假说有误，并说明我们不随宇宙膨胀是因为位于本星系群这一更大引力束缚系统中。
摘要：
最近，有假说提出一些超大质量黑洞（SMBHs）可能与宇宙膨胀耦合。这些 SMBHs 的质量随宇宙尺度因子的三次方增长，使得宇宙膨胀时 SMBHs 的能量密度保持不变。然而，遵循广义相对论的一般原理，即局域性或连接条件，我们表明引力束缚系统的内部并不感知宇宙膨胀，因为外部解可以平滑地被渐近平坦背景所取代。基于同样原因，我们不随宇宙膨胀而膨胀的直接原因并非我们处于束缚态，而是我们位于一个更大的引力束缚系统即本星系群中。
英文摘要：
Recently, it was hypothesized that some supermassive black holes (SMBHs) may couple to the cosmic expansion. The mass of these SMBHs increase as the cubic power of the cosmic scale factor, leaving the energy density of the SMBHs unchanged when the universe expands. However, following general principles of general relativity, namely, locality or junction conditions, we show that the inner part of a gravitationally bounded system is unaware of the cosmic expansion, since the outer solution can be smoothly replaced by an asymptotically flat background. For the same reason, the direct reason that we do not expand with the expansion of the universe is not that we are bound states, but rather we are positioned in a greater gravitationally bounded system, namely the local group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
