Abstract
It is possible that the Finsler space-timeF( x, y ) may be endowed with a catastrophic nature. In particular, the horizon of the field of the general relativity is just a catastrophic set. If so, a particle with the super-luminal speeds could be projected near the horizon of these fields, and the particle will move on the space-like curves. It is very interesting that, in the Schwarzschild fields, the theoretical calculation as the space-like curves should be in agreement with the data of the superluminal expansion of extragalactic radio sources observed year after year.
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The project has been supported by the National Natural Science Foundation of China.
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Shenglin, C. Theory of relativity and super-luminal speeds. Astrophys Space Sci 193, 123–140 (1992). https://doi.org/10.1007/BF01070208
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DOI: https://doi.org/10.1007/BF01070208