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We establish the nonlocal generalization of the Israel-Stewart model for therelativistic causal thermodynamics of the cosmic fluid, which evolves in thehomogeneous isotropic Universe. Based on the second law of thermodynamics wederive the integro-differential master equation for the nonequilibrium pressurescalar and reduce it to the differential equation of the second order in timederivatives. We show that this master equation can be considered as therelativistic analog of the Burgers equation, which is known in the classicaltheory of viscoelasticity. We obtain the nonlinear key equation, which containsthe energy density scalar only, and analyze two exact solutions of the model.The effective temperature is considered to be associated with the barotropicequation of state of the cosmic fluid.

Nonlocal extension of causal thermodynamics of the isotropic cosmic fluid