近日，中国科学院力学研究所的李丽仿与中国科学院数学与系统科学研究院的曹周键等人合作并取得一项新进展。经过不懈努力，他们揭示含宇宙常数爱因斯坦方程的牛顿极限。相关研究成果已于2024年10月15日在《中国物理C》上发表。

在这项研究中，研究人员证明传统上对宇宙常数所贡献的引力理解并不完全正确。该研究的方法涉及研究含宇宙常数爱因斯坦方程的牛顿极限。本文详细讨论了这一分析所涉及的微妙之处。

有趣的是，研究人员发现宇宙常数对牛顿引力的影响表现为一种对普通物质的吸引力，而非排斥力。正如预期的那样，这种校正力极其微小。然而，这一发现可能提供了一种区分暗能量和宇宙常数的方法，因为两者分别贡献排斥力和吸引力。

据悉，传统上，宇宙常数被视为一种暗能量，它模拟了具有负能量的物质。鉴于具有负能量的物质会产生一种排斥力，这与典型的引力有根本区别，因此人们一直认为宇宙常数实际上提供了一种排斥力。然而，重要的是要注意，引力的概念仅在牛顿动力学的框架内有效。

附：英文原文

Title: Newtonian limit of Einstein equation with a cosmological constant

Author: Li-Fang Li, Zhoujian Cao, Xiaokai He

Issue&Volume: 2024-10-15

Abstract: Traditionally, the cosmological constant has been viewed as dark energy that mimics matter with negative energy. Given that matter with negative energy provides a repulsive force, which fundamentally differs from typical gravitational forces, it has been believed that the cosmological constant effectively contributes a repulsive force. However, it is important to note that the concept of gravitational force is valid only within the framework of Newtonian dynamics. In this study, we demonstrate that the traditional understanding of the gravitational force contributed by the cosmological constant is not entirely correct. Our approach involves investigating the Newtonian limit of the Einstein equation with a cosmological constant. The subtleties involved in this analysis are discussed in detail. Interestingly, we find that the effect of the cosmological constant on Newtonian gravity is an attractive force rather than a repulsive one for ordinary matter. As expected, this corrective force is negligibly small. However, our findings may offer a way to distinguish between dark energy and the cosmological constant, as one contributes a repulsive force while the other contributes an attractive force.

DOI: 10.1088/1674-1137/ad5f81

Source: http://hepnp.ihep.ac.cn/article/doi/10.1088/1674-1137/ad5f81