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arXiv 0906.0804gr-qc
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5D Kaluza-Klein框架中的几何与物质约化

Geometry and Matter Reduction in a 5D Kaluza-Klein Framework

Valentino Lacquaniti, Giovanni Montani

摘要:

在本文中,我们考虑存在一般5D物质张量的卡鲁扎-克莱因场方程,该张量由5D比安奇恒等式的守恒方程控制。根据以前的工作,我们提供了一个一致的方法来解决问题的巨大的质量模式被删除的问题,而不放松紧化假设,因此,我们进行降维的度量场和物质,从而确定一个纯4D张量项,4D矢量项和标量项。因此,我们能够写出一组关于物质和场的完整动力学的相容方程;相对于纯爱因斯坦-麦克斯韦系统,我们现在有两个额外的标量场:一个是通常的标量场,另一个是标量源项。一些重要的情况下,涉及这些条款进行了讨论和宇宙学的应用前景提出了建议。

英文摘要:

In this paper we consider the Kaluza-Klein fields equations in presence of a generic 5D matter tensor which is governed by a conservation equation due to 5D Bianchi identities. Following a previous work, we provide a consistent approach to matter where the problem of huge massive modes is removed, without relaxing the compactification hypotheses; therefore we perform the dimensional reduction either for metric fields and for matter, thus identifying a pure 4D tensor term, a 4D vector term and a scalar one. Hence we are able to write down a consistent set of equations for the complete dynamics of matter and fields ; with respect to the pure Einstein-Maxwell system we now have two additional scalar field: the usual dilaton one plus a scalar source term. Some significant scenarios involving these terms are discussed and perspectives for cosmological applications are suggested.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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