Authors: A.H.A.Alfedeel, A. I. Arbab
Based on the fact that electromagnetic radiation has energy and momentum, and it creates curvature in the space time, we have used the covariant derivative of second rank tensor , thus we show that its possible to derive an explicit expression for Maxwell's equations in curved space time with and without torsion as well as---This is a coupling between gravity to electromagnetism. We show that the coupling introduced an extra amount of charge and current density--the electromagnetic and gravitoelectric--which resulting in non vanishing divergence of the magnetic filed tensor, this is equivalent to a magnetic monopole density. This is similar to the result that found by Piplowski, which states that such a coupling breaks the symmetry of $U(1)$ group, and has only significant at early time of the universe or inside black holes where the energy is very high.
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[v1] 2016-06-23 04:25:50
[v2] 2016-06-23 09:27:15
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