Abstract

In this paper, transitive Lie algebroids bundles, whose kernels are line bundles, provide a structure for unification of gravity and electromagnetism and geometrization of matter. The field equations are derived from an action principle which is formed naturally by the scalar curvature of the Lie algebroid. The derived equations not only contain the Einstein and Maxwell equations simultaneously, but also describe the effects of matter in the field equations.

中文翻译：

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重力与电磁统一的几何框架

摘要

在本文中，传递李代数丛，其核为线丛，为重力和电磁学的统一以及物质的几何化提供了一种结构。场方程是由李代数的标量曲率自然形成的作用原理推导出来的。导出的方程不仅同时包含了爱因斯坦方程和麦克斯韦方程，而且还描​​述了物质在场方程中的作用。