The Effective Lorentzian and Teleparallel Spacetimes Generated by a Free Electromagnetic Field

In this paper we show that a free electromagnetic field living in Minkowski spacetime generates an effective Weitzenbock or an effective Lorentzian spacetime (both equipped with a conformal metric) whose properties are determined in details. These results are possible because we found using the Clifford bundle formalism the noticeable result that the energy-momentum densities of a free electromagnetic field are sources of the Hodge duals of exact 2-form fields which satisfy Maxwell like equations