论文标题
经典差异问题的宇宙类似物
Cosmic analogues of classic variational problems
论文作者
论文摘要
源自非忠实粒子力学的变分积分的几个经典的一维问题具有在空间均匀和各向同性宇宙的类似物的解决方案。它们由一个方程式统治，该方程式是合适的宇宙流体的弗里德曼方程。这些问题被重新审视，并指出它们的宇宙类似物。有些对应于宇宙学的主要解决方案，而另一些则类似于具有幻影流体和有限的未来奇异性的外来宇宙学。
Several classic one-dimensional problems of variational calculus originating in non-relativistic particle mechanics have solutions that are analogues of spatially homogeneous and isotropic universes. They are ruled by an equation which is formally a Friedmann equation for a suitable cosmic fluid. These problems are revisited and their cosmic analogues are pointed out. Some correspond to the main solutions of cosmology, while others are analogous to exotic cosmologies with phantom fluids and finite future singularities.
