157 research outputs found
Inhomogeneous models of interacting dark matter and dark energy
We derive and analyze a class of spherically symmetric cosmological models
whose source is an interactive mixture of inhomogeneous cold dark matter (DM)
and a generic homogeneous dark energy (DE) fluid. If the DE fluid corresponds
to a quintessense scalar field, the interaction term can be associated with a
well motivated non--minimal coupling to the DM component. By constructing a
suitable volume average of the DM component we obtain a Friedman evolution
equation relating this average density with an average Hubble scalar, with the
DE component playing the role of a repulsive and time-dependent term.
Once we select an ``equation of state'' linking the energy density () and
pressure () of the DE fluid, as well as a free function governing the radial
dependence, the models become fully determinate and can be applied to known
specific DE sources, such as quintessense scalar fields or tachyonic fluids.
Considering the simple equation of state with , we show that the free parameters and boundary conditions can be selected
for an adequate description of a local DM overdensity evolving in a suitable
cosmic background that accurately fits current observational data. While a DE
dominated scenario emerges in the asymptotic future, with total and
tending respectively to 1 and -1/2 for all cosmic observers, the effects of
inhomogeneity and anisotropy yield different local behavior and evolution rates
for these parameters in the local overdense region. We suggest that the models
presented can be directly applied to explore the effects of various DE
formalisms on local DM cosmological inhomogeneities.Comment: 15 pages, revtex4, 10 eps figure
Unified model of baryonic matter and dark components
We investigate an interacting two-fluid cosmological model and introduce a
scalar field representation by means of a linear combination of the individual
energy densities. Applying the integrability condition to the scalar field
equation we show that this "exotic quintessence" is driven by an exponential
potential and the two-fluid mixture can be considered as a model of three
components. These components are associated with baryonic matter, dark matter
and dark energy respectively. We use the Simon, Verde & Jimenez (2005)
determination of the redshift dependence of the Hubble parameter to constrain
the current density parameters of this model. With the best fit density
parameters we obtain the transition redshift between non accelerated and
accelerated regimes z_{acc}=0.66 and the time elapsed since the initial
singularity t_0= 19.8 Gyr. We study the perturbation evolution of this model
and find that the energy density perturbation decreases with the cosmological
time.Comment: 8 pages, 6 figures A new section adde
Cosmological Applications of the Frieden-Soffer Nonextensive Information Transfer Game
We show how the demon of Frieden and Soffer, working in a non-extensive
statistical scenario, is able to devise solutions to some of Einstein's field
equations by recourse to nonlocal changes of variables between appropriate
differential equations. It is seen that a variety of cosmological problems
involving Einstein's field equations can be reinterpreted as situations in
which the pertinent solution is obtained, with tools of Statistical Mechanics,
{\it in a nonextensive Tsallis scenario}.Comment: 8 page
Tachyonization of the \LaCDM cosmological model
In this work a tachyonization of the CDM model for a spatially flat
Friedmann-Robertson-Walker space-time is proposed. A tachyon field and a
cosmological constant are considered as the sources of the gravitational field.
Starting from a stability analysis and from the exact solutions for a standard
tachyon field driven by a given potential, the search for a large set of
cosmological models which contain the CDM model is investigated. By
the use of internal transformations two new kinds of tachyon fields are derived
from the standard tachyon field, namely, a complementary and a phantom tachyon
fields. Numerical solutions for the three kinds of tachyon fields are
determined and it is shown that the standard and complementary tachyon fields
reproduces the CDM model as a limiting case. The standard tachyon
field can also describe a transition from an accelerated to a decelerated
regime, behaving as an inflaton field at early times and as a matter field at
late times. The complementary tachyon field always behaves as a matter field.
The phantom tachyon field is characterized by a rapid expansion where its
energy density increases with time.Comment: Version accepted for publication in GR
Bridging geometries and potentials in DBI cosmologies
We investigate the link between the warp function and the potential in DBI
cosmologies in connection with the possibility they represent power-law
solutions. A prescription is given to take advantage of the known result that
given a warp factor there is always a choice of potential resulting in a
constant ratio between pressure and energy density. The method is illustrated
with examples with interesting models for either the warp factor or the
potential. We complete this investigation by giving a recipe to exploit
symmetries in order to generate new solutions from existing ones; this method
can be applied, for instance, to the power-law cosmologies obtained using our
prescription.Comment: 7 pages, 3 figures, revte
Pure kinetic k-essence as the cosmic speed-up
In this paper, we consider three types of k-essence. These k-essence models
were presented in the parametric forms. The exact analytical solutions of the
corresponding equations of motion are found. It is shown that these k-essence
models for the presented solutions can give rise to cosmic acceleration.Comment: 10 pages, typos corrected, main results remain the same, minor
changes to match IJTP accepted versio
Extended tachyon field, Chaplygin gas and solvable k-essence cosmologies
We investigate a flat Friedmann-Robertson-Walker spacetime filled with
k-essence and find the set of functions F which generate three different
families of extended tachyon fields and Chaplygin gases. They lead to
accelerated and superaccelerated expanding scenarios.
For any function F, we find the first integral of the k-field equation when
the k-field is driven by an inverse square potential or by a constant one. In
the former, we obtain the general solution of the coupled Einstein-k-field
equations for a linear function F. This model shares the same kinematics of the
background geometry with the ordinary scalar field one driven by an exponential
potential. However, they are dynamically different. For a constant potential,
we introduce a k-field model that exhibits a transition from a power-law phase
to a de Sitter stage, inducing a modified Chaplygin gas.Comment: 24 pages, revised version accepted for publication in Phys. Rev.
Bulk viscous cosmology with causal transport theory
We consider cosmological scenarios originating from a single imperfect fluid
with bulk viscosity and apply Eckart's and both the full and the truncated
M\"uller-Israel-Stewart's theories as descriptions of the non-equilibrium
processes. Our principal objective is to investigate if the dynamical
properties of Dark Matter and Dark Energy can be described by a single viscous
fluid and how such description changes when a causal theory
(M\"uller-Israel-Stewart's, both in its full and truncated forms) is taken into
account instead of Eckart's non-causal theory. To this purpose, we find
numerical solutions for the gravitational potential and compare its behaviour
with the corresponding LambdaCDM case. Eckart's and the full causal theory seem
to be disfavoured, whereas the truncated theory leads to results similar to
those of the LambdaCDM model for a bulk viscous speed in the interval 10^{-11}
<< c_b^2 < 10^{-8}. Tentatively relating such value to a square propagation
velocity of the order of T/m of perturbations in a non-relativistic gas of
particles with mass m at the epoch of matter-radiation equality, this may be
compatible with a mass range 0.1 GeV < m << 100 GeV.Comment: 23 pages, 7 figure
Role of Modified Chaplygin Gas as a Dark Energy Model in Collapsing Spherically Symmetric Cloud
In this work, gravitational collapse of a spherical cloud, consists of both
dark matter and dark energy in the form of modified Chaplygin gas is studied.
It is found that dark energy alone in the form of modified Chaplygin gas forms
black hole. Also when both components of the fluid are present then the
collapse favors the formation of black hole in cases the dark energy dominates
over dark matter. The conclusion is totally opposite to the usually known
results.Comment: 7 Latex Pages, RexTex style, No figure
Le Chatelier-Braun principle in cosmological physics
Assuming that dark energy may be treated as a fluid with a well defined
temperature, close to equilibrium, we argue that if nowadays there is a
transfer of energy between dark energy and dark matter, it must be such that
the latter gains energy from the former and not the other way around.Comment: 6 pages, revtex file, no figures; version accepted for publication in
General Relativity and Gravitatio
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