197 research outputs found
On the detectability of quantum spacetime foam with gravitational-wave interferometers
We discuss a recent provocative suggestion by Amelino-Camelia and others that
classical spacetime may break down into ``quantum foam'' on distance scales
many orders of magnitude larger than the Planck length, leading to effects
which could be detected using large gravitational wave interferometers. This
suggestion is based on a quantum uncertainty limit obtained by Wigner using a
quantum clock in a gedanken timing experiment. Wigner's limit, however, is
based on two unrealistic and unneccessary assumptions: that the clock is free
to move, and that it does not interact with the environment. Removing either of
these assumptions makes the uncertainty limit invalid, and removes the basis
for Amelino-Camelia's suggestion.Comment: Submitted to Phys. Lett.
Geometrization of the Gauge Connection within a Kaluza-Klein Theory
Within the framework of a Kaluza-Klein theory, we provide the geometrization
of a generic (Abelian and non-Abelian) gauge coupling, which comes out by
choosing a suitable matter fields dependence on the extra-coordinates.
We start by the extension of the Nother theorem to a multidimensional
spacetime being the direct sum of a 4-dimensional Minkowski space and of a
compact homogeneous manifold (whose isometries reflect the gauge symmetry); we
show, how on such a ``vacuum'' configuration, the extra-dimensional components
of the field momentum correspond to the gauge charges. Then we analyze the
structure of a Dirac algebra as referred to a spacetime with the Kaluza-Klein
restrictions and, by splitting the corresponding free-field Lagrangian, we show
how the gauge coupling terms outcome.Comment: 10 pages, no figure, to appear on Int. Journ. Theor. Phy
Scenario of inflationary cosmology from the phenomenological models
Choosing the three phenomenological models of the dynamical cosmological term
, viz., , and
where is the cosmic scale factor, it has been shown by
the method of numerical analysis that the three models are equivalent for the
flat Universe . The evolution plots for dynamical cosmological term
vs. time and also the cosmic scale factor vs. are drawn
here for . A qualitative analysis has been made from the plots which
supports the idea of inflation and hence expanding Universe.Comment: 12 latex pages with 12 figures; Replaced with the revised version;
Accepeted for `J. Non-lin. Frac. Phen. Sci. Engg.
Geometrization of the electro-weak model bosonic component
In this work we develop a geometrical unification theory for gravity and the
electro-weak model in a Kaluza-Klein approach; in particular, from the
curvature dimensional reduction Einstein-Yang-Mills action is obtained. We
consider two possible space-time manifolds: 1)
where isospin doublets are identified with spinors; 2) in which both quarks and leptons doublets can be recast
into the same spinor, such that the equal number of quark generations and
leptonic families is explained. Finally a self-interacting complex scalar field
is introduced to reproduce the spontaneous symmetry breaking mechanism; in this
respect, at the end we get an Higgs fields whose two components have got
opposite hypercharges.Comment: 15 pages, no figures, to appear on Int. Jour. of Theor. Phy
Inhomogeneous Universe Models with Varying Cosmological Term
The evolution of a class of inhomogeneous spherically symmetric universe
models possessing a varying cosmological term and a material fluid, with an
adiabatic index either constant or not, is studied.Comment: 11 pages Latex. No figures. To be published in the GRG Journa
The bang of a white hole in the early universe from a 6D vacuum state: Origin of astrophysical spectrum
Using a previously introduced model in which the expansion of the universe is
driven by a single scalar field subject to gravitational attraction induced by
a white hole during the expansion (from a 6D vacuum state), we study the origin
of squared inflaton fluctuations spectrum on astrophysical scales.Comment: Final version to be published in Eur. Phys. J.
Causal Bulk Viscous Dissipative Isotropic Cosmologies with Variable Gravitational and Cosmological Constants
We consider the evolution of a flat Friedmann-Robertson-Walker Universe,
filled with a causal bulk viscous cosmological fluid, in the presence of
variable gravitational and cosmological constants. The basic equation for the
Hubble parameter, generalizing the evolution equation in the case of constant
gravitational coupling and cosmological term, is derived, under the
supplementary assumption that the total energy of the Universe is conserved. By
assuming that the cosmological constant is proportional to the square of the
Hubble parameter and a power law dependence of the bulk viscosity coefficient,
temperature and relaxation time on the energy density of the cosmological
fluid, two classes of exact solutions of the field equations are obtained. In
the first class of solutions the Universe ends in an inflationary era, while in
the second class of solutions the expansion of the Universe is non-inflationary
for all times. In both models the cosmological "constant" is a decreasing
function of time, while the gravitational "constant" increases in the early
period of evolution of the Universe, tending in the large time limit to a
constant value.Comment: 14 pages, 15 figure
Inducing the cosmological constant from five-dimensional Weyl space
We investigate the possibility of inducing the cosmological constant from
extra dimensions by embedding our four-dimensional Riemannian space-time into a
five-dimensional Weyl integrable space. Following approach of the induced
matter theory we show that when we go down from five to four dimensions, the
Weyl field may contribute both to the induced energy-tensor as well as to the
cosmological constant, or more generally, it may generate a time-dependent
cosmological parameter. As an application, we construct a simple cosmological
model which has some interesting properties.Comment: 7 page
Induced inflation from a 5D purely kinetic scalar field formalism on warped product spaces
Considering a separable and purely kinetic 5D scalar field on a warped
product metric background we propose a new and more general approach for
inducing 4D scalar potentials on a 4D constant foliation of the 5D space-time.
We obtain an induced potential for a true 4D scalar field instead of a
potential for an effective 4D scalar field. In this formalism we can recover
the usual 4D inflationary formalism with a geometrically induced inflationary
potential. In addition the quantum confinement of the inflaton modes is
obtained naturally from the model for at least a class of warping factors.
Besides the 4D inflationary physics that results of this formalism is
independent of the 4D-hypersurface chosen.Comment: 8 pages Accepted for publication in European Physical Journal
Graviton production from extra dimensions
Graviton production due to collapsing extra dimensions is studied. The
momenta lying in the extra dimensions are taken into account. A -dimensional
background is matched to an effectively four-dimensional standard radiation
dominated universe. Using observational constraints on the present
gravitational wave spectrum, a bound on the maximal temperature at the
beginning of the radiation era is derived. This expression depends on the
number of extra dimensions, as well as on the -dimensional Planck mass.
Furthermore, it is found that the extra dimensions have to be large.Comment: LaTeX file, 14 pages, 4 figure
- …