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The Einstein’s equations can be solved in order to find which energy-momentum tensor corresponds to a given geometry of space-time. However, these solutions sometimes have not any physical meaning. To choose which solutions have physical meaning, we use the energy conditions. This work presents the explicit expressions of the energy conditions for the electromagnetic field in the vacuum and in the presence of the cosmological constant. The Analysis of these two cases produces some bounds for the value of cosmological constant, showing a relation between it and the electromagnetic field present in the space-time. In particular, it is shown that the cosmological constant need to have a value bigger than that one considered in cosmological models in order to characterize a dark energy fluid in the presence of electromagnetic fields.

Energy conditions for electromagnetic field in presence of cosmological constant