Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-11-02
Phys.Rev. D53 (1996) 4287-4297
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
27 pages, 2 figures (appended as postscript files), uses LATEX
Scientific paper
10.1103/PhysRevD.53.4287
Some properties of cosmological models with matter creation are investigated in the framework of the Friedman-Robertson-Walker (FRW) line element. For adiabatic matter creation, as developed by Prigogine and coworkers, we derive a simple expression relating the particle number density $n$ and energy density $\rho$ which holds regardless of the matter creation rate. The conditions to generate inflation are discussed and by considering the natural phenomenological matter creation rate $\psi =3 \beta nH$, where $\beta$ 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 $\gamma$ of the equation of state by an effective parameter $\gamma_{*} = \gamma (1 - \beta)$. 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.
Abramo Raul L. W.
Germano A. S. M.
Lima Jose A. S.
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