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arXiv 1810.00436gr-qc
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时空零极限的$Λ$及其物理解释

The $Λ$ to zero limit of spacetimes and its physical interpretation

Mark Bugden, Claudio Paganini

摘要:

我们研究了Schwarzschild-de Sitter时空的$Λ\to 0$行为,并根据Geroch的时空极限概念,证明了它收敛于Schwarzschild时空。我们使用嵌入到$AdS_3$来说明和量化这种限制行为。我们使用这些定量的观察来建立爱因斯坦-德西特方程和爱因斯坦方程之间的有效性等级(因此在弱场极限下也是牛顿方程),类似于当采用$\hbar \to 0$时的量子经典极限。

英文摘要:

We study the $Λ\to 0$ behaviour of Schwarzschild-de Sitter spacetime and show, according to Geroch's notion of spacetime limits, that it converges to the Schwarzschild spacetime. We use an embedding into $AdS_3$ to illustrate and quantify this limiting behaviour. We use these quantitative observations to establish a hierarchy of validity between the Einstein-de Sitter equations and the Einstein equations (and therefore in a weak field limit also Newton's equations), analogous to the quantum-classical limit when taking $\hbar \to 0$.

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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