A Further Analysis of a Cosmological Model of Quintessence and Scalar Dark Matter.pdf
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A Further Analysis of a Cosmological Model with Quintessence and Scalar Dark
Matter.
Tonatiuh Matos∗ and L. Arturo Ure˜na-L´opez†
Departamento de F´ısica,
Centro de Investigaci´on y de Estudios Avanzados del IPN,
AP 14-740, 07000 M´exico D.F., MEXICO.
(February 1, 2008)
We present the complete solution to a 95% scalar field cosmological model in which the dark
matter is modeled by a scalar field Φ with the scalar potential V (Φ) = Vo [cosh (λ √κ Φ) − 1]
o
˜
and the dark energy is modeled by a scalar field Ψ, endowed with the scalar potential V (Ψ) =
˜ √κ Ψ)]β . This model has only two free parameters, λ and the equation of state ω .
Vo [sinh (α o Ψ
With these potentials, the fine tuning and the cosmic coincidence problems are ameliorated for
0 both dark matter and dark energy and the models agrees with astronomical observations. For the
0 scalar dark matter, we clarify the meaning of a scalar Jeans lenght and then the model predicts
0 a sup
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