Classification of the FRW universe with a cosmological constant and a perfect fluid of the equation of state
arXiv:0905.0396 · doi:10.1007/s10714-012-1348-1
Abstract
We systematically study the evolution of the Friedmann-Robertson-Walker (FRW) universe coupled with a cosmological constant and a perfect fluid that has the equation of state , where and denote, respectively, the pressure and energy density of the fluid, and is an arbitrary real constant. Depending on the specific values of , and the curvature of 3-dimensional space, we separate all of the solutions into various cases. In each case the main properties of the evolution are given in detail, including the periods of deceleration and/or acceleration, and the existence of big bang, big crunch, and big rip singularities. In some cases, errors in classification and interpretation appearing in standard textbooks have been corrected.
arXiv commentrevtex4, 24 figures
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