An alternative unified formulation of gravitation and electromagnetism in four dimensions
摘要
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.