1,177 research outputs found
Thermal distortion analysis of a deployable parabolic reflector
A thermal distortion analysis of the ATS-6 Satellite parabolic reflector was performed using NASTRAN level 15.1. The same NASTRAN finite element method was used to conduct a one g static load analysis and a dynamic analysis of the reflector. In addition, a parametric study was made to determine which parameters had the greatest effect on the thermal distortions. The method used to model the construction of the reflector is described and the results of the analyses are presented
Scalar perturbations from brane-world inflation
We investigate the scalar metric perturbations about a de Sitter brane
universe in a 5-dimensional anti de Sitter bulk. We compare the master-variable
formalism, describing metric perturbations in a 5-dimensional longitudinal
gauge, with results in a Gaussian normal gauge. For a vacuum brane (with
constant brane tension) there is a continuum of normalizable Kaluza-Klein
modes, with m>3H/2, which remain in the vacuum state. A light radion mode, with
m=\sqrt{2}H, satisfies the boundary conditions for two branes but is not
normalizable in the single-brane case. When matter is introduced (as a test
field) on the brane, this mode, together with the zero-mode and an infinite
ladder of discrete tachyonic modes, become normalizable. However, the boundary
condition requires the self-consistent 4-dimensional evolution of scalar field
perturbations on the brane and the dangerous growing modes are not excited.
These normalizable discrete modes introduce corrections at first-order to the
scalar field perturbations computed in a slow-roll expansion. On super-Hubble
scales, the correction is smaller than slow-roll corrections to the de Sitter
background. However on small scales the corrections can become significant.Comment: 15 page
Age Constraints on Brane Models of Dark Energy
Inspired by recent developments in particle physics, the so-called brane
world cosmology seems to provide an alternative explanation for the present
dark energy problem. In this paper, we use the estimated age of high-
objects to constrain the value of the cosmological parameters in some
particular scenarios based on this large scale modification of gravity. We show
that such models are compatible with these observations for values of the
crossover distance between the 4 and 5 dimensions of the order of .Comment: 4 pages, 2 figures, 1 table, to appear in Phys. Rev.
Affine Constellations Without Mutually Unbiased Counterparts
It has been conjectured that a complete set of mutually unbiased bases in a
space of dimension d exists if and only if there is an affine plane of order d.
We introduce affine constellations and compare their existence properties with
those of mutually unbiased constellations, mostly in dimension six. The
observed discrepancies make a deeper relation between the two existence
problems unlikely.Comment: 8 page
Boundary Inflation and the WMAP Data
Inflation in a five-dimensional brane world model with two boundary branes is
studied. We make use of the moduli space approximation whereby the low energy
theory reduces to a four-dimensional biscalar-tensor gravity plus a minimally
coupled scalar field. After a detailed analysis of the inflationary solutions,
we derive the evolution equations of the linear perturbations separating the
adiabatic mode from two entropy modes. We then examine the primordial scalar
and tensor power spectra and show that their tilt depends on the scalar-tensor
coupling constant. Finally, the induced CMB anisotropies are computed and we
present a Monte Carlo Markov Chains exploration of the parameter space using
the first year WMAP data. We find a marginalized probability bound for the
associated Eddington parameter at the end of inflation 1 - gamma < 0.002, at
95% confidence level. This suggests that future CMB data could provide crucial
information helping to distinguish scalar-tensor and standard inflationary
scenarios.Comment: 24 pages, 19 figures, uses RevTex. Qualitative discussions added,
matches published versio
Density perturbations in the brane-world
In Randall-Sundrum-type brane-world cosmologies, density perturbations
generate Weyl curvature in the bulk, which in turn backreacts on the brane via
stress-energy perturbations. On large scales, the perturbation equations
contain a closed system on the brane, which may be solved without solving for
the bulk perturbations. Bulk effects produce a non-adiabatic mode, even when
the matter perturbations are adiabatic, and alter the background dynamics. As a
consequence, the standard evolution of large-scale fluctuations in general
relativity is modified. The metric perturbation on large-scales is not constant
during high-energy inflation. It is constant during the radiation era, except
at most during the very beginning, if the energy is high enough.Comment: Additional arguments and minor corrections; version accepted by Phys.
Rev.
(1+3) Covariant Dynamics of Scalar Perturbations in Braneworlds
We discuss the dynamics of linear, scalar perturbations in an almost
Friedmann-Robertson-Walker braneworld cosmology of Randall-Sundrum type II
using the 1+3 covariant approach. We derive a complete set of frame-independent
equations for the total matter variables, and a partial set of equations for
the non-local variables which arise from the projection of the Weyl tensor in
the bulk. The latter equations are incomplete since there is no propagation
equation for the non-local anisotropic stress. We supplement the equations for
the total matter variables with equations for the independent constituents in a
cold dark matter cosmology, and provide solutions in the high and low-energy
radiation-dominated phase under the assumption that the non-local anisotropic
stress vanishes. These solutions reveal the existence of new modes arising from
the two additional non-local degrees of freedom. Our solutions should prove
useful in setting up initial conditions for numerical codes aimed at exploring
the effect of braneworld corrections on the cosmic microwave background (CMB)
power spectrum. As a first step in this direction, we derive the covariant form
of the line of sight solution for the CMB temperature anisotropies in
braneworld cosmologies, and discuss possible mechanisms by which braneworld
effects may remain in the low-energy universe.Comment: 22 pages replaced with additional references and minor corrections in
Revtex4, and accepted for publication in Phys. Rev.
Experimental tests of hidden variable theories from dBB to Stochastic Electrodynamics
In this paper we present some of our experimental results on testing hidden
variable theories, which range from Bell inequalities measurements to a
conclusive test of stochastic electrodynamics
Axisymmetric metrics in arbitrary dimensions
We consider axially symmetric static metrics in arbitrary dimension, both
with and without a cosmological constant. The most obvious such solutions have
an SO(n) group of Killing vectors representing the axial symmetry, although one
can also consider abelian groups which represent a flat `internal space'. We
relate such metrics to lower dimensional dilatonic cosmological metrics with a
Liouville potential. We also develop a duality relation between vacuum
solutions with internal curvature and those with zero internal curvature but a
cosmological constant. This duality relation gives a solution generating
technique permitting the mapping of different spacetimes. We give a large class
of solutions to the vacuum or cosmological constant spacetimes. We comment on
the extension of the C-metric to higher dimensions and provide a novel solution
for a braneworld black hole.Comment: 36 pages, LaTeX (JHEP), 4 figures, section added (published version
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