Friedmann universe with dust and scalar field

Details Friedmann universe with dust and scalar field Friedmann universe with dust and scalar field

2004-03-14

arxiv.org/abs/gr-qc/0403059v1

Gen.Rel.Grav. 36 (2004) 1579-1592

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 10 figures

Scientific paper

10.1023/B:GERG.0000032150.44910.

We study a spatially flat Friedmann model containing a pressureless perfect fluid (dust) and a scalar field with an unbounded from below potential of the form $V(\fii)=W_0 - V_0\sinh(\sqrt{3/2}\kappa\fii)$, where the parameters $W_0$ and $V_0$ are arbitrary and $\kappa=\sqrt{8\pi G_N}=M_p^{-1}$. The model is integrable and all exact solutions describe the recollapsing universe. The behavior of the model near both initial and final points of evolution is analyzed. The model is consistent with the observational parameters. We single out the exact solution with the present-day values of acceleration parameter $q_0=0.5$ and dark matter density parameter $\Omega_{\rho 0}=0.3$ describing the evolution within the time approximately equal to $2H_0^{-1}$.

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