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An alternative unified formulation of gravitation and electromagnetism in four dimensions
General Relativity and Gravitation ( IF 2.8 ) Pub Date : 2024-02-05 , DOI: 10.1007/s10714-024-03208-w
Nazim Djeghloul , M. Aris Kellou

We show how the introduction of a rank two antisymmetric tensor within the construction of the spacetime contortion sets the geometric framework in which gravitation and electromagnetism can be formulated synthetically through a unique action of Hilbert type in four dimensions. In particular, free Maxwell’s equations are recovered as a consequence of the field equations in the limit of metrically flat spacetime.



中文翻译:

四维引力和电磁力的另一种统一表述

我们展示了如何在时空扭曲的构造中引入二阶反对称张量来设置几何框架,在该几何框架中,可以通过希尔伯特型的独特作用在四个维度上综合地表述引力和电磁力。特别是,自由麦克斯韦方程被恢复为度量平坦时空限制中场方程的结果。

更新日期:2024-02-05
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