作为应变连续介质的时空张量理论
A tensor theory of space-time as a strained material continuum
摘要：
回顾了经典的材料连续统应变理论，并将其推广到时空。应变被归因于“外部”（物质/能量场）和固定宇宙全局对称性的内在来源（连续统中的缺陷）。一个拉格朗日的时空计算，增加到通常的希尔伯特项的“弹性”贡献的内在应变。这种方法等价于一个特殊的张量场，它确实是度量张量的一部分。该理论给出了一种时空结构，既考虑了初始暴胀，又考虑了后期加速。考虑到物质的贡献，用该理论拟合Ia型超新星的光度数据，得到了满意的结果。
英文摘要：
The classical theory of strain in material continua is reviewed and generalized to space-time. Strain is attributed to "external" (matter/energy fields) and intrinsic sources fixing the global symmetry of the universe (defects in the continuum). A Lagrangian for space-time is worked out, adding to the usual Hilbert term an "elastic" contribution from intrinsic strain. This approach is equivalent to a peculiar tensor field, which is indeed part of the metric tensor. The theory gives a configuration of space-time accounting both for the initial inflation and for the late acceleration. Considering also the contribution from matter the theory is used to fit the luminosity data of type Ia supernovae, giving satisfactory results.
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