Relativistic dissipative cosmological models and abel differential equation

Abstract We analyze the second-order strongly nonlinear differential equation describing the relativistic evolution of a causal dissipative cosmological fluid in a conformally flat space-time. By means of appropriate transformations, the evolution equation can be reduced to a first-order second-type Abel differential equation. The general solution of the Abel equation is obtained in an exact form and, as a consequence, it is shown that the general solution of the second-order evolution differential equation can be represented in an exact parametric form.

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