论文标题
光和阴影：Raychaudhuri的方程式，大爆炸和黑洞
Of Light and Shadows: Raychaudhuri's equation, the Big Bang and Black Holes
论文作者
论文摘要
爱因斯坦的天才和穿透性直觉导致了相对论的一般理论，该理论将重力纳入了时空的几何形状。但是，一般相对论的理论导致观点远远超出了其创造者的愿景。这些见解中的许多人只有在爱因斯坦于1955年去世后才揭示。这些事态发展是由于彭罗斯，霍金和杰罗奇等新型的相对主义者造成的，他们以比早期工人更高的数学成熟程度来接近该主题。这些见解中的一些是由于Amal Kumar Raychaudhuri（AKR）的工作而成为可能的，他得出了一个方程式，该方程式是一般相对性的奇异定理中的关键要素。本文用基本的角度解释了AKR的工作。
Einstein's genius and penetrating physical intuition led to the general theory of relativity, which incorporates gravity into the geometry of spacetime. However, the theory of general relativity leads to perspectives which go far beyond the vision of its creator. Many of these insights came to light only after Einstein's death in 1955. These developments were due to a new breed of relativists, like Penrose, Hawking and Geroch, who approached the subject with a higher degree of mathematical sophistication than earlier workers. Some of these insights were made possible because of work by Amal Kumar Raychaudhuri (AKR) who derived an equation which turned out to be a key ingredient in the singularity theorems of general relativity. This article explains AKR's work in elementary terms.
