600 research outputs found
Naudts-like duality and the extreme Fisher information principle
We show that using the most parsimonious version of Frieden and Soffer's
extreme information principle (EPI) with a Fisher measure constructed with
escort probabilities, the concomitant solutions obey a type of Naudts' duality
for nonextensive ensembles. We also determine in closed form the general
(normalized) probability distribution that minimizes Fisher's information.Comment: 4 pages, no figure
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
General behaviour of Bianchi VI_0 solutions with an exponential-potential scalar field
The solutions to the Einstein-Klein-Gordon equations without a cosmological
constant are investigated for an exponential potential in a Bianchi VI_0
metric. There exists a two-parameter family of solutions which have a power-law
inflationary behaviour when the exponent of the potential, k, satisfies k^2<2.
In addition, there exists a two-parameter family of singular solutions for all
k^2 values. A simple anisotropic exact solution is found to be stable when
2<k^2.Comment: 10 pages, no figures. To be published in General Relativity and
Gravitatio
Constructing Phantom Cosmologies from Standard Scalar Field Universes
We illustrate how form-invariance transformations can be used for
constructing phantom cosmologies from standard scalar field universes. First,
we discuss how to relate two flat Friedmann-Robertson-Walker cosmologies with
different barotropic indexes and . Then, we consider the
particular case , and we show that if the matter content
is interpreted in terms of self-interacting scalar fields, then the
corresponding transformation provides the link between a standard and a phantom
cosmology. After that, we illustrate the method by considering models with
exponential potentials. Finally, we also show that the mentioned duality
persists even if the typical braneworld modifications to the Friedmann equation
are considered.Comment: 3 pages, revtex4, new title and minor changes in the main text and
references to match published versio
Regular Stringy Black Holes?
We study the first-order corrections to the singular 4-dimensional
massless stringy black holes studied in the nineties in the context of the
Heterotic Superstring. We show that the corrections not only induce a
non-vanishing mass and give rise to an event horizon, but also eliminate the
singularity giving rise to a regular spacetime whose global structure includes
further asymptotically flat regions in which the spacetime's mass is positive
or negative. We study the timelike and null geodesics and their effective
potential, showing that the spacetime is geodesically complete. We discuss the
validity of this solution, arguing that the very interesting and peculiar
properties of the solution are associated to the negative energy contributions
coming from the terms quadratic in the curvature. As a matter of fact, the
10-dimensional configuration is singular. We extract some general lessons on
attempts to eliminate black-hole singularities by introducing terms of higher
order in the curvature.Comment: 5 pages, 2 figure
Dissipative cosmological solutions
The exact general solution to the Einstein equations in a homogeneous
Universe with a full causal viscous fluid source for the bulk viscosity index
is found. We have investigated the asymptotic stability of Friedmann
and de Sitter solutions, the former is stable for and the latter for
. The comparison with results of the truncated theory is made. For
, it was found that families of solutions with extrema no longer remain
in the full case, and they are replaced by asymptotically Minkowski evolutions.
These solutions are monotonic.Comment: 17 pages, LaTeX 2.09, 1 figure. To be published in Classical and
Quantum Gravit
Interacting quintessence and the coincidence problem
We investigate the role of a possible coupling of dark matter and dark
energy. In particular, we explore the consequences of such an interaction for
the coincidence problem, i.e., for the question, why the energy densities of
dark matter and dark energy are of the same order just at the present epoch. We
demonstrate, that, with the help of a suitable coupling, it is possible to
reproduce any scaling solution , where is the
scale factor of the Robertson-Walker metric and is a constant parameter.
and are the densities of dark energy and dark matter,
respectively. Furthermore, we show that an interaction between dark matter and
dark energy can drive the transition from an early matter dominated era to a
phase of accelerated expansion with a stable, stationary ratio of the energy
densities of both components.Comment: 3 pages, contribution to the Tenth Marcel Grossmann Meeting, Rio de
Janeiro, 20-26 July 200
Cosmological solutions with nonlinear bulk viscosity
A recently proposed nonlinear transport equation is used to model bulk
viscous cosmologies that may be far from equilibrium, as happens during viscous
fluid inflation or during reheating. The asymptotic stability of the de Sitter
and Friedmann solutions is investigated. The former is stable for bulk
viscosity index . New solutions are obtained in
the weakly nonlinear regime for . These solutions are singular and some of
them represent a late-time inflationary era.Comment: 16 pages Latex (IOP style); to appear Class. Quantum Gra
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
Duality and spatial inhomogeneity
Within the framework on non-extensive thermostatistics we revisit the
recently advanced q-duality concept. We focus our attention here on a modified
q-entropic measure of the spatial inhomogeneity for binary patterns. At a fixed
length-scale this measure exhibits a generalised duality that links appropriate
pairs of q and q' values. The simplest q q' invariant function, without any
free parameters, is deduced here. Within an adequate interval q < qo < q', in
which the function reaches its maximum value at qo, this invariant function
accurately approximates the investigated q-measure, nitidly evidencing the
duality phenomenon. In the close vicinity of qo, the approximate meaningful
relation q + q' = 2qo holds.Comment: Contribution to International School and Conference on "Non Extensive
Thermodynamics and physical applications", Villasimius-Capo Boi (Cagliari),
Italy, 23-30 May 2001, 6 pages, 2 figures, replaced with published versio
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