576 research outputs found
Generalized power expansions in cosmology
It is given an algorithm to obtain generalized power asymptotic expansions of
the solutions of the Einstein equations arising for several homogeneous
cosmological models. This allows to investigate their behavior near the initial
singularity or for large times. An implementation of this algorithm in the CAS
system Maple V Release 4 is described and detailed calculations for three
equations are shown.Comment: 22 pages, LaTeX, elsart.sty. To be published in Computer Physics
Communications Thematic Issue "Computer Algebra in Physics Research
Scalar Field Cosmologies with Viscous Fluid
We investigate cosmological models with a free scalar field and a viscous
fluid. We find exact solutions for a linear and nonlinear viscosity pressure.
Both yield singular and bouncing solutions. In the first regime, a de Sitter
stage is asymptotically stable, while in the second case we find power-law
evolutions for vanishing cosmological constant.Comment: 8 pages, LaTeX. To be published in International Journal of Modern
Physics
Relaxation dominated cosmological expansion
The behavior near the singularity of an isotropic, homogeneous cosmological
model with a viscous fluid source is investigated. This turns out to be a
relaxation dominated regime. Full extended irreversible thermodynamics is used,
and comparison with results of the truncated theory is made. New singular
behaviors are found and it is shown that a relaxation dominated inflationary
epoch may exist for fluids with small heat capacity.Comment: 7 pages, LaTeX. To be published in Physics Letters
Perfect fluid cosmologies with varying light speed
We have found exact constant solutions for the cosmological density parameter
using a generalization of general relativity that incorporates a cosmic
time-variation of the velocity of light in vacuum and the Newtonian gravitation
constant. We have determined the conditions when these solutions are attractors
for an expanding universe and solved the problems of the Standard Big Bang
model for perfect fluids.Comment: 10 pages, LaTeX 2.09. To be published in International Journal of
Modern Physics
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
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