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arXiv 0810.4956astro-phgr-qc
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再论宇宙学常数的透镜效应

More on Lensing by a Cosmological Constant

Mustapha Ishak, Wolfgang Rindler, Jason Dossett

备注：
5 pages, matches MNRAS accepted version
发表信息：
Mon.Not.Roy.Astron.Soc. 403:2152-2156,2010
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摘要：

宇宙学常数是否影响光在集中质量周围的弯曲，这个问题是最近一些论文的主题。我们在这里提出一个简单、具体和透明的例子，其中$Λ$弯曲明显发生，并且它显然既不是坐标效应也不是像差效应。然后，我们表明，在最近的一些作品中使用微扰理论的$Λ$的贡献被错过了，因为初始过于严格的小假设。即：我们的方法是将一个Kottler（Schwarzschild with $Λ$）空泡插入到一个Friedmann宇宙中，并计算空泡内的总弯曲。我们假设外面不再发生弯曲。重要的是要观察到，虽然对弯曲的质量贡献主要发生在晶状体附近，但$Λ$弯曲在整个液泡中持续。因此，如果一个人故意限制一个人的搜索$Λ$弯曲的直接邻居的镜头，一个不会找到它。最后，我们表明，$Λ$弯曲也遵循标准外尔聚焦，所以再次，它不能是一个坐标效应。

英文摘要：

The question of whether or not the cosmological constant affects the bending of light around a concentrated mass has been the subject of some recent papers. We present here a simple, specific and transparent example where $Λ$ bending clearly takes place, and where it is clearly neither a coordinate effect nor an aberration effect. We then show that in some recent works using perturbation theory the $Λ$ contribution was missed because of initial too-stringent smallness assumptions. Namely: Our method has been to insert a Kottler (Schwarzschild with $Λ$) vacuole into a Friedmann universe, and to calculate the total bending within the vacuole. We assume that no more bending occurs outside. It is important to observe that while the mass contribution to the bending takes place mainly quite near the lens, the $Λ$ bending continues throughout the vacuole. Thus if one deliberately restricts one's search for $Λ$ bending to the immediate neighborhood of the lens, one will not find it. Lastly, we show that the $Λ$ bending also follows from standard Weyl focusing, and so again, it cannot be a coordinate effect.

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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