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arXiv 0807.0315gr-qc
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作为巨型玻色-爱因斯坦凝聚体的超大质量黑洞

Supermassive Black Holes as Giant Bose-Einstein Condensates

Theo M. Nieuwenhuizen

摘要:

史瓦西度规在视界处具有发散的能量密度,这激发了研究黑洞的新方法。如果物质均匀地散布在一个质量为$M\sim M_\star= 2.34 10^8M_\odot$的超大质量黑洞的内部,那么它可能来自于一个由密集的H原子组成的玻色-爱因斯坦凝聚体。在具有正宇宙学常数的相对论引力理论中,玻色量子场与曲率标量耦合。在玻色-爱因斯坦凝聚基态中,给出了该度规的一个精确的自洽解。它是规则的,在原点具有特定的形状。视界处的红移是有限的,但很大,$z\sim 10^{14}$,$M_\star/M$。结合能仍然是表征BH的附加参数;或者,在无穷远处观察到的质量可以是其组分的静止质量的任何分数。

英文摘要:

The Schwarzschild metric has a divergent energy density at the horizon, which motivates a new approach to black holes. If matter is spread uniformly throughout the interior of a supermassive black hole, with mass $M\sim M_\star= 2.34 10^8M_\odot$, it may arise from a Bose-Einstein condensate of densely packed H-atoms. Within the Relativistic Theory of Gravitation with a positive cosmological constant, a bosonic quantum field is coupled to the curvature scalar. In the Bose-Einstein condensed groundstate an exact, selfconsistent solution for the metric is presented. It is regular with a specific shape at the origin. The redshift at the horizon is finite but large, $z\sim 10^{14}$$M_\star/M$. The binding energy remains as an additional parameter to characterize the BH; alternatively, the mass observed at infinity can be any fraction of the rest mass of its constituents.

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。

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