341 research outputs found
Sp-brane accelerating cosmologies
We investigate time dependent solutions (S-brane solutions) for product
manifolds consisting of factor spaces where only one of them is non-Ricci-flat.
Our model contains minimally coupled free scalar field as a matter source. We
discuss a possibility of generating late time acceleration of the Universe. The
analysis is performed in conformally related Brans-Dicke and Einstein frames.
Dynamical behavior of our Universe is described by its scale factor. Since the
scale factors of our Universe are described by different variables in both
frames, they can have different dynamics.
Indeed, we show that with our S-brane ansatz in the Brans-Dicke frame the
stages of accelerating expansion exist for all types of the external space
(flat, spherical and hyperbolic). However, applying the same ansatz for the
metric in the Einstein frame, we find that a model with flat external space and
hyperbolic compactification of the internal space is the only one with the
stage of the accelerating expansion. Scalar field can prevent this
acceleration. It is shown that the case of hyperbolic external space in
Brans-Dicke frame is the only model which can satisfy experimental bounds for
the fine structure constant variations. We obtain a class of models where a
pare of dynamical internal spaces have fixed total volume. It results in fixed
fine structure constant. However, these models are unstable and external space
is non-accelerating.Comment: 17 pages, 4 figures, accepted in PR
Weak-field limit of Kaluza-Klein models with spherical compactification: experimental constraints
We investigate the classical gravitational tests for the six-dimensional
Kaluza-Klein model with spherical (of a radius ) compactification of the
internal space. The model contains also a bare multidimensional cosmological
constant . The matter, which corresponds to this ansatz, can be
simulated by a perfect fluid with the vacuum equation of state in the external
space and an arbitrary equation of state with the parameter in the
internal space. For example, and correspond to the
monopole two-forms and the Casimir effect, respectively. In the particular case
, the parameter is also absent: . In the
weak-field approximation, we perturb the background ansatz by a point-like
mass. We demonstrate that in the case the perturbed metric
coefficients have the Yukawa type corrections with respect to the usual
Newtonian gravitational potential. The inverse square law experiments restrict
the parameters of the model: $a/\sqrt{\omega_1}\lesssim 6\times10^{-3}\
{{cm}}\gamma\omega_1>0\omega_1=0\gamma=1/3$,
which strongly contradicts the observations.Comment: 8 pages, no figures, revised version, equations and references added,
accepted for publication in Phys. Rev. D. arXiv admin note: significant text
overlap with arXiv:1107.338
Kaluza-Klein models: can we construct a viable example?
In Kaluza-Klein models, we investigate soliton solutions of Einstein
equation. We obtain the formulas for perihelion shift, deflection of light,
time delay of radar echoes and PPN parameters. We find that the solitonic
parameter k should be very big: |k|\geq 2.3\times10^4. We define a soliton
solution which corresponds to a point-like mass source. In this case the
soliton parameter k=2, which is clearly contrary to this restriction. Similar
problem with the observations takes place for static spherically symmetric
perfect fluid with the dust-like equation of state in all dimensions. The
common for both of these models is the same equations of state in our three
dimensions and in the extra dimensions. All dimensions are treated at equal
footing. To be in agreement with observations, it is necessary to break the
symmetry between the external/our and internal spaces. It takes place for black
strings which are particular examples of solitons with k\to \infty. For such k,
black strings are in concordance with the observations. Moreover, we show that
they are the only solitons which are at the same level of agreement with the
observations as in general relativity. Black strings can be treated as perfect
fluid with dust-like equation of state p_0=0 in the external/our space and very
specific equation of state p_1=-(1/2)\epsilon in the internal space. The latter
equation is due to negative tension in the extra dimension. We also demonstrate
that dimension 3 for the external space is a special one. Only in this case we
get the latter equation of state. We show that the black string equations of
state satisfy the necessary condition of the internal space stabilization.
Therefore, black strings are good candidates for a viable model of
astrophysical objects (e.g., Sun) if we can provide a satisfactory explanation
of negative tension for particles constituting these objects.Comment: 11 pages, Revtex4, no figures, appendix and references adde
Asymptotic latent solitons, black strings and black branes in f(R)-gravity
We investigate nonlinear f(R) theories in the Kaluza-Klein models with
toroidal compactification of extra dimensions. A point-like matter source has
the dust-like equation of state in our three dimensions and nonzero equations
of state in the extra dimensions. We obtain solutions of linearized Einstein
equations with this matter source taking into account effects of nonlinearity
of the model. There are two asymptotic regions where solutions satisfy the
gravitational tests at the same level of accuracy as General Relativity.
According to these asymptotic regions, there are two classes of solutions. We
call these solutions asymptotic latent solitons. The asymptotic latent solitons
from the first class generalize the known result of the linear theory. The
asymptotic black strings and black branes are particular cases of these
asymptotic solutions. The second class of asymptotic solitons exists only in
multidimensional nonlinear models. The main feature for both of these classes
of solutions is that the matter sources have tension in the extra dimensions.Comment: RevTex4 5 pages, no figure
Dynamical dark energy from extra dimensions
We consider multidimensional cosmological model with a higher-dimensional
product manifold M = R x R^{d_0} x H^{d_1}/\Gamma where R^{d_0} is
d_0-dimensional Ricci-flat external (our) space and H^{d_1}/\Gamma is
d_1-dimensional compact hyperbolic internal space. M2-brane solution for this
model has the stage of accelerating expansion of the external space. We apply
this model to explain the late time acceleration of our Universe. Recent
observational data (the Hubble parameter at the present time and the redshift
when the deceleration parameter changes its sign) fix fully all free parameters
of the model. As a result, we find that considered model has too big size of
the internal space at the present time and variation of the effective
four-dimensional fine structure constant strongly exceeds the observational
limits.Comment: 5 pages, 3 figures, LaTex, a few remarks and reference adde
Multidimensional perfect fluid cosmology with stable compactified internal dimensions
Multidimensional cosmological models in the presence of a bare cosmological
constant and a perfect fluid are investigated under dimensional reduction to
4-dimensional effective models. Stable compactification of the internal spaces
is achieved for a special class of perfect fluids. The external space behaves
in accordance with the standard Friedmann model. Necessary restrictions on the
parameters of the models are found to ensure dynamical behavior of the external
(our) universe in agreement with observations.Comment: 11 pages, Latex2e, uses IOP packages, submitted to Class.Quant.Gra
Weak-field limit of f(R)-gravity in three and more spatial dimensions
We investigate a point-like massive source in non-linear f(R) theories in the
case of arbitrary number of spatial dimensions D\geq 3. If D>3 then extra
dimensions undergo toroidal compactification. We consider a weak-field
approximation with Minkowski and de Sitter background solutions. In both these
cases point-like massive sources demonstrate good agreement with experimental
data only in the case of ordinary three-dimensional (D=3) space. We generalize
this result to the case of perfect fluid with dust-like equations of state in
the external and internal spaces. This perfect fluid is uniformly smeared over
all extra dimensions and enclosed in a three-dimensional sphere. In ordinary
three dimensional (D=3) space, our formulas are useful for experimental
constraints on parameters of f(R) models.Comment: 8 pages, Revtex4, no figure
Bouncing inflation in nonlinear gravitational model
We study a gravitational model with curvature-squared and
curvature-quartic nonlinearities. The effective scalar degree of freedom
(scalaron) has a multi-valued potential consisting of a number
of branches. These branches are fitted with each other in the branching and
monotonic points. In the case of four-dimensional space-time, we show that the
monotonic points are penetrable for scalaron while in the vicinity of the
branching points scalaron has the bouncing behavior and cannot cross these
points. Moreover, there are branching points where scalaron bounces an infinite
number of times with decreasing amplitude and the Universe asymptotically
approaches the de Sitter stage. Such accelerating behavior we call bouncing
inflation. For this accelerating expansion there is no need for original
potential to have a minimum or to check the slow-roll conditions. A
necessary condition for such inflation is the existence of the branching
points. This is a new type of inflation. We show that bouncing inflation takes
place both in the Einstein and Brans-Dicke frames.Comment: RevTex 13 pages, 13 figures, a few comments and references adde
Integrable Multicomponent Perfect Fluid Multidimensional Cosmology II: Scalar Fields
We consider anisotropic cosmological models with an universe of dimension 4
or more, factorized into n>1 Ricci-flat spaces, containing an m-component
perfect fluid of m non-interacting homogeneous minimally coupled scalar fields
under special conditions. We describe the dynamics of the universe: It has a
Kasner-like behaviour near the singularity and isotropizes during the expansion
to infinity.
Some of the considered models are integrable, and classical as well as
quantum solutions are found. Some solutions produce inflation from "nothing".
There exist classical asymptotically anti-de Sitter wormholes, and quantum
wormholes with discrete spectrum.Comment: 28 pages, LaTeX, subm. to Gen. Rel. Gra
Вивчення нанорозмірних плівок золота методом скануючої тунельної мікроскопії
It was shown that despite the difference in the morphology of thin gold films obtained by different methods and on different substrates, the films mainly consist of spherical nanoparticles. The linear dimensions of individual surface objects were determined using the example of a gold film on mica. Analysis of the surface morphology showed that its structural formations are evenly distributed and have sizes from 250 nm to 500 nm. Upon receipt of gold nanofilms by magnetron sputtering on a glass substrate, the size of individual gold nanoparticles ranges from 20 nm to 80 nm. When ion spraying on a substrate of polished monocrystalline silicon, the size of individual gold nanoparticles ranges from 2 nm to 10 nm. The union of individual nanoparticles into large elongated nanoobjects up to 20-40 nm in size is observed. Thus, having the opportunity to compare data on the mode of vacuum deposition (substrate temperature, beam density, deposition time, etc.), as well as surface relief, you can develop technologies for obtaining a surface with a given set of properties, as well as develop new methods of gold deposition on different surfaces. The obtained results are very important for application in biology and medicine. They make it possible to create different types of sensors and diagnostic tests.
Pages of the article in the issue: 42 - 45
Language of the article: UkrainianУ роботі вивчали морфологію поверхні тонких золотих металевих плівок на слюдяній підкладці за допомогою скануючого тунельного мікроскопа. Наведено результати дослідження структури наночастинок золота на поверхні скла та полірованого монокристалічного кремнію, отриманих різними методами напилення. Визначено характерні лінійні розміри рельєфу поверхні. Показано, що незважаючи на різницю в морфології тонких золотих плівок, отриманих різними методами та на різних підкладках, плівки в основному складаються із сферичних наночастинок. Таким чином, маючи дані про режим розпилення у вакуумі, а також про рельєф поверхні, можна отримати поверхню з заданим набором властивостей
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