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arXiv 1306.3863gr-qc
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关于宇宙学常数为正的封闭宇宙的总质量

On the total mass of closed universes with a positive cosmological constant

László B Szabados

摘要:

最近提出的封闭宇宙总质量密度的概念被推广到具有正宇宙学常数的封闭宇宙。假设物质场满足主能量条件,证明了宇宙学常数为总质量密度提供了一个尖锐的下界,并且当且仅当时空与de Sitter时空局部等距时,总质量密度以此为最小值。这个总质量密度的概念可以推广到非紧的三重齐性Bianchi A类宇宙时空。

英文摘要:

The recently suggested notion of total mass density for closed universes is extended to closed universes with a positive cosmological constant. Assuming that the matter fields satisfy the dominant energy condition, it is shown that the cosmological constant provides a sharp lower bound for the total mass density, and that the total mass density takes this as its minimum value if and only if the spacetime is locally isometric with the de Sitter spacetime. This notion of total mass density is extensible to non-compact three-spaces of homogeneity of Bianchi class A cosmological spacetimes.

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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