哥德尔宇宙中的相对论扩散
Relativistic Diffusion in Gödel's Universe
摘要:
K.哥德尔[G1]发现了他著名的解决方案爱因斯坦方程在1949年。Kundt [K]和Hawking-Ellis([H-E],5.7)也做出了贡献。另一方面,Franchi-Le Jan在[F-LJ]中引入了一个与所谓的“相对论性扩散”相关联的一般洛伦兹不变算子,并且在任何洛伦兹流形中都是有意义的。本文首次研究了哥德尔宇宙中的相对论性扩散。
英文摘要:
K. Gödel [G1] discovered his celebrated solution to Einstein equations in 1949. Additional contributions were made by Kundt [K] and Hawking-Ellis ([H-E],5.7). On the other hand, a general Lorentz invariant operator, associated to the so-called "relativistic diffusion'', and making sense in any Lorentz manifold, was introduced by Franchi-Le Jan in [F-LJ]. Here is purposed a first study of the relativistic diffusion in the framework of Gödel's universe, which contains matter.
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