Propagation of waves in the relativistic plasma at near of the horizon of black holes embedded in Friedman-Robertson-Walker cosmologies is investigated. The metric of the class of black holes, cosmological black holes, is obtained by performing conformal transformation on isotropic black hole space-time. Here we use the Maxwell’s equations and relativistic two-fluid plasma in 3 + 1 formulation in Rindler coordinates system. By calculation of the time evolution of scale factor, the dispersion relation of electromagnetic waves near of the cosmological black holes horizon is obtained.
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