标题： 五维卡鲁扎-克莱因框架中的几何与物质约化 显示英文标题

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

摘要： 在本文中，我们考虑在存在通用5D物质张量的情况下Kaluza-Klein场方程，该物质张量由5D Bianchi恒等式导致的守恒方程控制。 遵循之前的工作，我们提供了一种一致的方法来处理物质，消除了巨大质量模式的问题，而无需放松紧致化假设；因此我们对度规场和物质进行维度约化，从而识别出纯4D张量项、4D矢量项和标量项。 因此，我们能够写出描述物质和场完整动力学的一组一致方程；与纯爱因斯坦-麦克斯韦系统相比，我们现在有两个额外的标量场：通常的稀释子场加上一个标量源项。 讨论了涉及这些项的一些重要场景，并提出了宇宙学应用的前景。 显示英文摘要

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.