将FLRW宇宙学的牛顿类比转化为相对论问题
Turning a Newtonian analogy for FLRW cosmology into a relativistic problem
摘要：
一个在真空中膨胀的牛顿均匀球构成了FLRW宇宙学的一个常见的启发式类比。我们讨论了相应的广义相对论问题的可能实现和各种新的宇宙学类比产生的。我们强调牛顿类比的基本成分，包括准局部能量总是“牛顿”的意义上，外尔张量的磁性部分不有助于它。爱因斯坦-弗里德曼方程的对称性产生另一个在原来的牛顿系统。
英文摘要：
A Newtonian uniform ball expanding in empty space constitutes a common heuristic analogy for FLRW cosmology. We discuss possible implementations of the corresponding general-relativistic problem and a variety of new cosmological analogies arising from them. We highlight essential ingredients of the Newtonian analogy, including that the quasilocal energy is always `Newtonian' in the sense that the magnetic part of the Weyl tensor does not contribute to it. A symmetry of the Einstein-Friedmann equations produces another one in the original Newtonian system.
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