In this paper we show that a free electromagnetic field living in Minkowskispacetime generates an effective Weitzenbock or an effective Lorentzianspacetime whose properties aredetermined in details. These results are possiblebecause we found using the Clifford bundle formalism the noticeable result thatthe energy-momentum densities of a free electromagnetic field are sources ofthe Hodge duals of exact 2-form fields which satisfy Maxwell like equations.
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