Abstract
Some properties of cosmological models with matter creation are investigated in the framework of the Friedmann-Robertson-Walker line element. For adiabatic matter creation, as developed by Prigogine and co-workers, we derive a simple expression relating the particle number density n and energy density \ensuremath{\rho} which holds regardless of the matter creation rate. The conditions to generate inflation are discussed and by considering the natural phenomenological matter creation rate \ensuremath{\psi}=3\ensuremath{\beta}nH, where \ensuremath{\beta} is a pure number of the order of unity and H is the Hubble parameter, a minimally modified hot big-bang model is proposed. The dynamic properties of such models can be deduced from the standard ones simply by replacing the adiabatic index \ensuremath{\gamma} of the equation of state by an effective parameter ${\ensuremath{\gamma}}_{\mathrm{*}}$=\ensuremath{\gamma}(1-\ensuremath{\beta}). The thermodynamic behavior is determined and it is also shown that ages large enough to agree with observations are obtained even given the high values of H suggested by recent measurements. \textcopyright{} 1996 The American Physical Society.
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