奇异光滑度与天体物理学
Exotic Smoothness and Astrophysics
摘要：
讨论了流形上奇异微分结构存在的可能的天体物理后果问题。有人认为，修正的曲率的形式的源一样的条款，应预期在爱因斯坦方程，如果他们是写在“错误的”微分结构。拓扑平凡的空间上的异国情调的微分结构作为一个源的引力，即使在没有物质的例子。在这种现象的存在下，光的传播进行了讨论。为了完整起见，增加了对奇异光滑性的简要回顾。
英文摘要：
The problem of possible astrophysical consequences of the existence of exotic differential structures on manifolds is discussed. It is argued that corrections to the curvature of the form of a source like terms should be expected in the Einstein equations if they are written in the "wrong" differential structure. Examples of topologically trivial spaces on which exotic differential structures act as a source of gravitational force even in the absence of matter are given. Propagation of light in the presence of such phenomena is also discussed. A brief review of exotic smoothness is added for completeness.
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