论文标题

彭罗斯(Penrose)1965年的奇异定理:从测地上不完整到宇宙审查制度

Penrose's 1965 singularity theorem: From geodesic incompleteness to cosmic censorship

论文作者

Landsman, Klaas

论文摘要

补充以前的文献Tipler,Clarke和Ellis(1980),以色列(1987),Thorne,(1994),Earman(1999),Senovilla&Garfinkle(2015),Curiel(2019ab)和Landsman(2021AB),我提供了对Penrose的历史和概念分析,对Penrose的1965年1965年差异性(或Incomplete)提供了历史和概念分析。重点在于在定理中使用或其他相关的假设和定义的性质和历史来源,以及定理的(Astro)物理目标及其实际内容之间的差异:即使达到了假设,定理也未能证明其本身的象征性或过度地,他就无法证明自己的存在或形成。宇宙审查制度的猜想。粗略地说,从(null)地球上的不完整中推断出存在一个“黑色”物体,需要一个弱宇宙审查制度,而如果强大的宇宙审查持有强大的宇宙审查,则存在“孔”(而不是延长的时空边界,从而导致地理位置的不完整)。

Supplementing earlier literature by e.g. Tipler, Clarke, & Ellis (1980), Israel (1987), Thorne, (1994), Earman (1999), Senovilla & Garfinkle (2015), Curiel (2019ab), and Landsman (2021ab), I provide a historical and conceptual analysis of Penrose's path-breaking 1965 singularity (or incompleteness) theorem. The emphasis is on the nature and historical origin of the assumptions and definitions used in-or otherwise relevant to-the theorem, as well as on the discrepancy between the (astro)physical goals of the theorem and its actual content: even if its assumptions are met, the theorem fails to prove the existence or formation of black holes.Penrose himself was well aware of this gap, which he subsequently tried to overcome with his visionary and influential cosmic censorship conjectures. Roughly speaking, to infer from (null) geodesic incompleteness that there is a "black" object one needs weak cosmic censorship, whereas in addition a "hole" exists (as opposed to a boundary of an extendible space-time causing the incompleteness of geodesics) if strong cosmic censorship holds.

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