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Doran, W. E.; Spiller, John; Worth, A.

doi:10.1080/0005772x.1945.11094341

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Cosmology With Tachyon Scalar Field1

Number Density and Mass Function1

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2017

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“…The differential equation for the evolution of dimensionless Hubble parameter, E(z) = H H0 , in tachyon scalar field model, is obtained by using Eqs. (6), (7), (8) and (12) as follows…”

Section: Cosmology With Tachyon Scalar Fieldmentioning

confidence: 99%

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Evolution of spherical over-densities in tachyon scalar field model

2017

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We study the tachyon scalar field model in flat FRW cosmology with the particular potential $\phi^{-2}$ and the scale factor behavior $a(t)=t^n$. We consider the spherical collapse model and investigate the effects of the tachyon scalar field on the structure formation in flat FRW universe. We calculate $\delta_{c}(z_{c})$, $\lambda(z_{c})$, $\xi(z_{c})$, $\Delta_{V}(z_{c})$, $\log [\nu f(\nu)]$ and $\log [n(k)]$ for the tachyon scalar field model and compare the results with the results of EdS model and $\Lambda CDM$ model. It is shown that in the tachyon scalar field model the structure formation may occur earlier, in comparison to the other models.Comment: 14 pages, 15 figures, revisio

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“…The differential equation for the evolution of dimensionless Hubble parameter, E(z) = H H0 , in tachyon scalar field model, is obtained by using Eqs. (6), (7), (8) and (12) as follows…”

Section: Cosmology With Tachyon Scalar Fieldmentioning

confidence: 99%

“…Here σ(M ) is the r.m.s of the mass fluctuation in sphere of mass M. We can use the formula given by [24] σ(M, z) = σ 8…”

Section: Number Density and Mass Functionmentioning

confidence: 99%