论文标题

彭罗斯(Penrose)的奇异定理的影响总体相对论

The influence of Penrose's singularity theorem in General Relativity

论文作者

Senovilla, José M M

论文摘要

彭罗斯(Penrose)对一般相对论的关键贡献,其1965年的奇异定理象征,获得了2020年诺贝尔物理学奖的(一半)。对该定理背后的思想和含义,其后来的发展以及其他Penrose的思想的重新兴趣提高了我们对重力领域的理解。在本文中,我重点介绍了多年来所发展的一些进步。我还确定了对定理含义的一些共同误解。主张基于平均曲率向量的封闭捕获的子手机的概念的现代观点。

Penrose's crucial contributions to General Relativity, symbolized by his 1965 singularity theorem, received (half of) the 2020 Nobel prize in Physics. A renewed interest in the ideas and implications behind that theorem, its later developments, and other Penrose's ideas improving our understanding of the gravitational field thereby emerged. In this paper I highlight some of the advancements motivated by the theorem that were developed over the years. I also identify some common misconceptions about the theorem's implications. A modern perspective on the concept of closed trapped submanifolds, based on the mean curvature vector, is advocated.

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