74 research outputs found
Some FRW viscous models with variable G, c and cosmological constant
We consider several viscous model with metric type FRW, with k=0 and with
generic equation of state. We take into account too, the conservation principle
for the energy-momentum tensor. We find trivially, a set of solutions through
dimensional analysis.Comment: 7 pages. submitted to General Relativity and Gravitatio
Cosmological Models with Some Variable Constant
Various models are under consideration with metric type flat FRW whose
energy-momentum tensor is described by a perfect fluid whose generic equation
state and taking into account the conservation principle, but considering some
of the constants as variable. A set of solutions through dimensional analysis
is trivially found. The numeric calculations carried out show that the results
obtained are not discordant with those presently observed for cosmological
parameters. However, the model seems irreconcilable with electromagnetic and
quantum quantities. This makes us think that we are working with faulty
hypothesis from the startComment: 7 pages. LaTeX2e. Submitted to Astro. Space .Scie
Cosmological models with variable constants
The behavior of the constants, G,c,h,a,e,m and Lambda, considering them as
variable, in the framework of a flat cosmological model with FRW symmetries
described by a bulk viscous fluid and considering mechanisms of adiabatic
matter creation are investigated. Within two models; one with radiation
predominance and another of matter predominance, this behavior are studied.Comment: 15 pages. submitted to IJT
Bulk Viscous Cosmological Model with G and Lambda Variables Through Dimensional Analysis
A model with flat FRW symmetries and G and Lambda variable,is considered in
such a way that the momentum-energy tensor that describes the model is
characterized by a bulk viscosity parameter. In this paper it is showed how to
apply the dimensional method in order to solve the outlined equations in a
trivial way.Comment: 7 pages. LaTeX2e. Submitted to General Relativity and Gravitatio
Enlargement of Planck`s System of Absolute Units
In this paper, we want to make to see the convenience of the amplification of
the Planck`s system of absolute units through the introduction of two new
constant, the dynamical constant and the permitividad of the vacuum upon
rejecting that the electron charge has mechanical dimensions and adopting it as
Planck`s charge. We apply these results to clarify the homogeneity and isotropy
in the very early universe.Comment: 7 pages. Submitted to Il Nuovo Cimento
Full Causal Bulk Viscous Cosmological Models with Variable G and Lambda
We study the evolution of a flat Friedmann-Robertson- Walker Universe, filled
with a bulk viscous cosmological fluid, in the presence of variable
gravitational and cosmological constants. The dimensional analysis of the model
suggest a proportionality between the bulk viscous pressure of the dissipative
fluid and the energy density. With the use of this assumption and with the
choice of the standard equations of state for the bulk viscosity coefficient,
temperature and relaxation time, the general solution of the field equations
can be obtained, with all physical parameters having a power-law time
dependence. The symmetry analysis of this model, performed by using Lie group
techniques, confirms the unicity of the solution for this functional form of
the bulk viscous pressure.Comment: 9 pages. ReVTeX
Approximate Analytical Solution for the Dynamic Model of Large Amplitude Non-Linear Oscillations Arising in Structural Engineering
In this work we obtain an approximate solution of the strongly nonlinear
second order differential equation , describing the large amplitude free vibrations of a uniform
cantilever beam, by using a method based on the Laplace transform, and the
convolution theorem. By reformulating the initial differential equation as an
integral equation, with the use of an iterative procedure, an approximate
solution of the nonlinear vibration equation can be obtained in any order of
approximation. The iterative approximate solutions are compared with the exact
numerical solution of the vibration equation.Comment: 8 pages, 1 figure, accepted for publication in Journal of Applied
Mathematics and Engineerin
Aplications of Dimensional Analysis to Cosmology
In this paper we apply dimensional analysis (D.A.) to two cosmological
models: Einstein-de Sitter and one Friedmann-Robertson-Walker (FRW) with
radiation predominance. We believe that this method leads to the simplest form
of solution the differential equations that arise in both models and would be
useful as a base for the solution of more complex models. The aim of the paper
is therefore rather pedagogical since it tries to show different dimensional
techniques.Comment: 9 pages. We have amended some grammatical mistakes and we have added
a small section where we explain the employed dimensional metho
Some FRW models with variable G and cosmological constant
We consider several model with metric type FRW, with k=0 and with generic
equation of state. We take into account too, the conservation principle for the
energy-momentum tensor. We find trivially, a set of solutions through
dimensional analysis. We emphasite that the solution for G depend on the
equation of state and for the cosmological constant no.Comment: 7 pages. submitted to General Relativity and Gravitatio
Normalized angular momentum deficit: A tool for comparing the violence of the dynamical histories of planetary systems
Population studies of the orbital characteristics of exoplanets in
multi-planet systems have highlighted the existence of an anticorrelation
between the average orbital eccentricity of planets and the number of planets
of their host system, that is, its multiplicity. This effect was proposed to
reflect the varying levels of violence in the dynamical evolution of planetary
systems. Previous work suggested that the relative violence of the dynamical
evolution of planetary systems with similar orbital architectures can be
compared through the computation of their angular momentum deficit (AMD). We
investigated the possibility of using a more general metric to perform
analogous comparisons between planetary systems with different orbital
architectures. We considered a modified version of the AMD, the normalized
angular momentum deficit (NAMD), and used it to study a sample of 99
multi-planet systems containing both the currently best-characterized
extrasolar systems and the solar system, that is, planetary systems with both
compact and wide orbital architectures. We verified that the NAMD allows us to
compare the violence of the dynamical histories of multi-planet systems with
different orbital architectures. We identified an anticorrelation between the
NAMD and the multiplicity of the planetary systems, of which the previously
observed eccentricity-multiplicity anticorrelation is a reflection. Our results
seem to indicate that phases of dynamical instabilities and chaotic evolution
are not uncommon among planetary systems. They also suggest that the efficiency
of the planetary formation process in producing high-multiplicity systems is
likely to be higher than that suggested by their currently known population.Comment: 6 pages, 1 table, 3 figures. Accepted for publication on Astronomy &
Astrophysic
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