arXiv 1504.008412015-04gr-qc

六维经典Kaluza-Klein型模型的红移

Redshift in a six-dimensional classical Kaluza-Klein type model

Jacek Syska

备注：: 40 pages, 9 figure. arXiv admin note: text overlap with arXiv:hep-ph/0202133

摘要：

从更好地理解基本相互作用的观点来看，多维理论仍然具有吸引力。本文考虑了经典爱因斯坦引力公式下的六维Kaluza-Klein型模型。本文给出了在无质量声子场作用下，耦合到Klein-Gordon方程的六维爱因斯坦方程的静态球对称解。由于它是视界自由的，它与四维史瓦西解有着本质的不同。然后分析了测试粒子在这种球对称结构中的运动。电子场的存在与额外的大质量物质的存在具有类似的动力学效应。重点放在一些可观测的量，如红移。有人认为，星系核发射线的奇怪特征以及类星体星系关联实际上可能是世界多维性的表现。

英文摘要：

Multidimensional theories still remain attractive from the point of view of better understanding fundamental interactions. In this paper a six-dimensional Kaluza-Klein type model at the classical, Einstein's gravity formulation is considered. The static spherically symmetric solution of the six-dimensional Einstein equations coupled to the Klein-Gordon equation with the massless dilatonic field is presented. As it is horizon free, it is fundamentally different from the four-dimensional Schwarzschild solution. The motion of test particles in such a spherically symmetric configuration is then analyzed. The presence of the dilatonic field has a similar dynamical effect as the existence of additional massive matter. The emphasis is put on some observable quantities like redshifts. It has been suggested that strange features of emission lines from galactic nuclei as well as quasar-galaxy associations may in fact be manifestations of the multidimensionality of the world.

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