Flat Friedmann universe filled by dust and scalar field with multiple exponential potential

Gavrilov, V.R.; Melnikov, V.N.; Abdyrakhmanov, S.T.

doi:10.1023/B:GERG.0000032150.44910.97

Flat Friedmann universe filled by dust and scalar field with multiple exponential potential

V.R. Gavrilov
(
- Moscow, Gravitation Metrology Ctr. and
- Inst. Grav. Cosmology, Moscow
)
,
V.N. Melnikov
(
- Moscow, Gravitation Metrology Ctr. and
- Inst. Grav. Cosmology, Moscow
)
,
S.T. Abdyrakhmanov
(
- Moscow, Gravitation Metrology Ctr. and
- Inst. Grav. Cosmology, Moscow
)

Mar, 2004

11 pages

Published in:

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

e-Print:

gr-qc/0403059 [gr-qc]

DOI:

10.1023/B:GERG.0000032150.44910.97

Report number:

PFUR-RGS-0001-040314

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Abstract: (arXiv)

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