348 research outputs found
The cubic period-distance relation for the Kater reversible pendulum
We describe the correct cubic relation between the mass configuration of a
Kater reversible pendulum and its period of oscillation. From an analysis of
its solutions we conclude that there could be as many as three distinct mass
configurations for which the periods of small oscillations about the two pivots
of the pendulum have the same value. We also discuss a real compound Kater
pendulum that realizes this property.Comment: 25 pages 4figure
Vanishing of cosmological constant in nonfactorizable geometry
We generalize the results of Randall and Sundrum to a wider class of
four-dimensional space-times including the four-dimensional Schwarzschild
background and de Sitter universe. We solve the equation for graviton
propagation in a general four dimensional background and find an explicit
solution for a zero mass bound state of the graviton. We find that this zero
mass bound state is normalizable only if the cosmological constant is strictly
zero, thereby providing a dynamical reason for the vanishing of cosmological
constant within the context of this model. We also show that the results of
Randall and Sundrum can be generalized without any modification to the
Schwarzschild background.Comment: 8 Pages(expanded version), Accepted in Phys. Rev.
Prevalence of Escherichia coli O157:H7 in cow-calf herds in Kansas
Fecal samples from cows and calves and samples of water sources were collected monthly for 8 months from 10 Kansas cow-calf farms to determine the prevalence of E. coli O157:H7. The bacterium was found in 8% of fecal samples from cows that were within 24 hours of calving, 1.4% of fecal samples from cows which were not within 24 hours of calving, 1.4% of calf fecal samples, and 1.5% of water samples. E. coli O157:H7 was identified from at least one sample on all farms
Majorana Neutrino, the Size of Extra Dimensions, and Neutrinoless Double Beta Decay
The problem of Majorana neutrino mass generated in
Arkani-Hamed--Dimopoulos-Dvali model with n extra spatial dimensions is
discussed. Taking into account constraints on neutrino masses coming from
cosmological observations, it is possible to obtain lower limits on the size of
extra dimensions as large as 10^{-6} mm. In the case of n=4 it is easy to lower
the fundamental scale of gravity from the Planck energy to electroweak scale
\~TeV without imposing any additional constraints. A link between the half-life
of neutrinoless double beta decay and the size of extra dimensions is
discussed.Comment: 5 pages, 1 figure, using RevTEX. Units conversion correcte
Lensing at cosmological scales: a test of higher dimensional gravity
Recent developments in gravitational lensing astronomy have paved the way to
genuine mappings of the gravitational potential at cosmological scales. We
stress that comparing these data with traditional large scale structure surveys
will provide us with a test of gravity at such scales. These constraints could
be of great importance in the framework of higher dimensional cosmological
models.Comment: 4 pages, latex, 3 figure
Brane Cosmology in the Background of D-Brane with NS B Field
We study the cosmological evolution of the four-dimensional universe on the
probe D3-brane in geodesic motion in the curved background of the source
Dp-brane with non-zero NS B field. The Friedman equations describing the
expansion of the brane universe are obtained and analyzed for various limits.
We elaborate on corrections to the cosmological evolution due to nonzero NS B
field.Comment: 13 pages, LaTeX, revised version with minor corrections to appear in
Phys. Rev.
Transdimensional physics and inflation
Within the framework of a five-dimensional brane world with a stabilized
radion, we compute the cosmological perturbations generated during inflation
and show that the perturbations are a powerful tool to probe the physics of
extra dimensions. While we find that the power spectrum of scalar perturbations
is unchanged, we show that the existence of the fifth dimension is imprinted on
the spectrum of gravitational waves generated during inflation. In particular,
we find that the tensor perturbations receive a correction proportional to
, where is the Hubble expansion rate during inflation and is
the size of the extra dimension. We also generalize our findings to the case of
several extra dimensions as well as to warped geometries.Comment: RevTeX file, 30 pages, 1 figure. Final version to appear in PR
Cosmological Effects of Radion Oscillations
We show that the redshift of pressureless matter density due to the expansion
of the universe generically induces small oscillations in the stabilized radius
of extra dimensions (the radion field). The frequency of these oscillations is
proportional to the mass of the radion and can have interesting cosmological
consequences. For very low radion masses () these low frequency oscillations lead to oscillations in
the expansion rate of the universe. The occurrence of acceleration periods
could naturally lead to a resolution of the coincidence problem, without need
of dark energy. Even though this scenario for low radion mass is consistent
with several observational tests it has difficulty to meet fifth force
constraints. If viewed as an effective Brans-Dicke theory it predicts
( is the number of extra dimensions), while
experiments on scales larger than imply . By deriving the
generalized Newtonian potential corresponding to a massive toroidally compact
radion we demonstrate that Newtonian gravity is modified only on scales smaller
than . Thus, these constraints do not apply for
(high frequency oscillations) corresponding to scales less than the current
experiments (). Even though these high frequency oscillations can not
resolve the coincidence problem they provide a natural mechanism for dark
matter generation. This type of dark matter has many similarities with the
axion.Comment: Accepted in Phys. Rev. D. Clarifying comments added in the text and
some additional references include
Bouncing pre-big bang on the brane
A regular bouncing universe is obtained in the context of a dilaton-gravity
brane world scenario. The scale factor starts in a contracting inflationary
phase both in the Einstein and in the string frame, it then undergoes a bounce
(due to interaction with the bulk Weyl tensor), and subsequently enters into a
decelerated expanding era. This graceful exit is obtained at low curvature and
low coupling, and without violating the Null Energy Condition.Comment: 16 pages, 3 figures; final version to be published on PRD. General
improvement of section II (better specification of the matter content on the
brane and discussion about the late time behavior), main results unchanged; 2
references adde
Z boson pair production at LHC in a stabilized Randall-Sundrum scenario
We study the Z boson pair production at LHC in the Randall-Sundrum scenario
with the Goldberger-Wise stabilization mechanism. It is shown that
comprehensive account of the Kaluza-Klein graviton and radion effects is
crucial to probe the model: The KK graviton effects enhance the cross section
of on the whole so that the resonance peak of the radion becomes
easy to detect, whereas the RS effects on the process are
rather insignificant. The and invariant-mass distributions are presented
to study the dependence of the RS model parameters. The production of
longitudinally polarized Z bosons, to which the SM contributions are
suppressed, is mainly due to KK gravitons and the radion, providing one of the
most robust methods to signal the RS effects. The sensitivity bounds
on with are also obtained such that
the effective weak scale of order 5 TeV can be experimentally
probed.Comment: 28 pages, LaTex file, 18 eps figure
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