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Abstract The purpose of this paper is to study the transport equation and its coupling with the Maxwell equation in the framework of $$R^n$$ R n gravity. Using Müller–Israel–Stewart theory for the conduction of dissipative fluids, we analyze the temperature, heat flux, viscosity and thermal conductivity in the scenario of relaxation time. All these thermodynamical variables appear in the form of a single factor whose influence is discussed on the evolution of relativistic model for the heat conducting collapsing star.