324 research outputs found
Extended Spherical Collapse and the Accelerating Universe
The influence of the shear stress and angular momentum on the nonlinear
spherical collapse model is discussed in the framework of the Einstein-de
Sitter (EdS) and CDM models. By assuming that the vacuum component is
not clustering within the homogeneous nonspherical overdensities, we show how
the local rotation and shear affects the linear density threshold for collapse
of the non-relativistic component () and its virial
overdensity (). It is also found that the net effect of
shear and rotation in galactic scale is responsible for higher values of the
linear overdensity parameter as compared with the standard spherical collapse
model (no shear and rotation).Comment: 5 pages, 2 fig
Planetary migration in evolving planetesimals discs
In the current paper, we further improved the model for the migration of
planets introduced in Del Popolo et al. (2001) and extended to time-dependent
planetesimal accretion disks in Del Popolo and Eksi (2002). In the current
study, the assumption of Del Popolo and Eksi (2002), that the surface density
in planetesimals is proportional to that of gas, is released. In order to
obtain the evolution of planetesimal density, we use a method developed in
Stepinski and Valageas (1997) which is able to simultaneously follow the
evolution of gas and solid particles for up to 10^7 yrs. Then, the disk model
is coupled to migration model introduced in Del Popolo et al. (2001) in order
to obtain the migration rate of the planet in the planetesimal. We find that
the properties of solids known to exist in protoplanetary systems, together
with reasonable density profiles for the disk, lead to a characteristic radius
in the range 0.03-0.2 AU for the final semi-major axis of the giant planet.Comment: IJMP A in prin
Improvements in the M-T relation and mass function and the measured Omega_m through clusters evolution
In this paper, I revisit the constraints obtained by several authors
(Reichart et al. 1999; Eke et al. 1998; Henry 2000) on the estimated values of
Omega_m, n and sigma_8 in the light of recent theoretical developments: 1) new
theoretical mass functions (Sheth & Tormen 1999, Sheth, Mo & Tormen 1999, Del
Popolo 2002b); 2) a more accurate mass-temperature relation, also determined
for arbitrary Omega_m and Omega_{\Lambda} (Voit 2000, Pierpaoli et al. 2001,
Del Popolo 2002a). Firstly, using the quoted improvements, I re-derive an
expression for the X-ray Luminosity Function (XLF), similarly to Reichart et
al. (1999), and then I get some constraints to \Omega_m and n, by using the
ROSAT BCS and EMSS samples and maximum-likelihood analysis. Then I re-derive
the X-ray Temperature Function (XTF), similarly to Henry (2000) and Eke et al.
(1999), re-obtaining the constraints on Omega_m, n, sigma_8. Both in the case
of the XLF and XTF, the changes in the mass function and M-T relation produces
an increase in Omega_m of \simeq 20% and similar results in sigma_8 and n.Comment: 34 pages, 11 encapsulated figures. Accepted by Ap
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