2,820 research outputs found
Reflections on a Measurement of the Gravitational Constant Using a Beam Balance and 13 Tons of Mercury
In 2006, a final result of a measurement of the gravitational constant
performed by researchers at the University of Z\"urich was published. A value
of G=6.674\,252(122)\times
10^{-11}\,\mbox{m}^3\,\mbox{kg}^{-1}\,\mbox{s}^{-2} was obtained after an
experimental effort that lasted over one decade. Here, we briefly summarize the
measurement and discuss the strengths and weaknesses of this approach.Comment: 13 pages, 5 figures accepted for publication in Phil. Trans. R. Soc.
An Ontology for Submarine Feature Representation on Charts
A landform is a subjective individuation of a part of a terrain. Landform recognition is a difficult task because its definition usually relies on a qualitative and fuzzy description. Achieving automatic recognition of landforms requires a formal definition of the landforms properties and their modelling. In the maritime domain, the International Hydrographic Organisation published a standard terminology of undersea feature names which formalises a set of definition mainly for naming and communication purpose. This terminology is here used as a starting point for the definition of an ontology of undersea features and their automatic classification from a terrain model. First, an ontology of undersea features is built. The ontology is composed of an application domain ontology describing the main properties and relationships between features and a representation ontology deals with representation on a chart where features are portrayed by soundings and isobaths. A database model was generated from the ontology. Geometrical properties describing the feature shape are computed from soundings and isobaths and are used for feature classification. An example of automatic classification on a nautical chart is presented and results and on-going research are discussed
The linear growth rate of structure in Parametrized Post Friedmannian Universes
A possible solution to the dark energy problem is that Einstein's theory of
general relativity is modified. A suite of models have been proposed that, in
general, are unable to predict the correct amount of large scale structure in
the distribution of galaxies or anisotropies in the Cosmic Microwave
Background. It has been argued, however, that it should be possible to
constrain a general class of theories of modified gravity by focusing on
properties such as the growing mode, gravitational slip and the effective, time
varying Newton's constant. We show that assuming certain physical requirements
such as stability, metricity and gauge invariance, it is possible to come up
with consistency conditions between these various parameters. In this paper we
focus on theories which have, at most, 2nd derivatives in the metric variables
and find restrictions that shed light on current and future experimental
constraints without having to resort to a (as yet unknown) complete theory of
modified gravity. We claim that future measurements of the growth of structure
on small scales (i.e. from 1-200 h^{-1} Mpc) may lead to tight constraints on
both dark energy and modified theories of gravity.Comment: 15 Pages, 11 Figure
Pulsation of Spherically Symmetric Systems in General Relativity
The pulsation equations for spherically symmetric black hole and soliton
solutions are brought into a standard form. The formulae apply to a large class
of field theoretical matter models and can easily be worked out for specific
examples. The close relation to the energy principle in terms of the second
variation of the Schwarzschild mass is also established. The use of the general
expressions is illustrated for the Einstein-Yang-Mills and the Einstein-Skyrme
system.Comment: 21 pages, latex, no figure
Soliton and black hole solutions of su(N) Einstein-Yang-Mills theory in anti-de Sitter space
We present new soliton and hairy black hole solutions of su(N)
Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. These
solutions are described by N+1 independent parameters, and have N-1 gauge field
degrees of freedom. We examine the space of solutions in detail for su(3) and
su(4) solitons and black holes. If the magnitude of the cosmological constant
is sufficiently large, we find solutions where all the gauge field functions
have no zeros. These solutions are of particular interest because we anticipate
that at least some of them will be linearly stable.Comment: 15 pages, 20 figures, minor changes, accepted for publication in
Physical Review
Gravitomagnetism, clocks and geometry
New techniques to evaluate the clock effect using light are described. These
are based on the flatness of the cylindrical surface containing the world lines
of the rays constrained to move on circular trajectories about a spinning mass.
The effect of the angular momentum of the source is manifested in the fact that
inertial observers must be replaced by local non rotating observers. Starting
from this an exact formula for circular trajectories is found. Numerical
estimates for the Earth environment show that light would be a better probe
than actual clocks to evidence the angular momentum influence. The advantages
of light in connection with some principle experiments are shortly reviewed.Comment: TCI Latex, 12 pages, 2 figures. To appear in European Journal of
Physic
Effect of Peculiar Motion in Weak Lensing
We study the effect of peculiar motion in weak gravitational lensing. We
derive a fully relativistic formula for the cosmic shear and the convergence in
a perturbed Friedmann Universe. We find a new contribution related to galaxies
peculiar velocity. This contribution does not affect cosmic shear in a
measurable way, since it is of second order in the velocity. However, its
effect on the convergence (and consequently on the magnification, which is a
measurable quantity) is important, especially for redshifts z < 1. As a
consequence, peculiar motion modifies also the relation between the shear and
the convergence.Comment: 11 pages, 7 figures; v2: discussion on the reduced shear added (5.C),
additional references, version accepted in PRD; v3: mistakes corrected in
eqs. (26), (31), (33) and (44); results unchange
Static Axially Symmetric Solutions of Einstein-Yang-Mills-Dilaton Theory
We construct static axially symmetric solutions of SU(2)
Einstein-Yang-Mills-dilaton theory. Like their spherically symmetric
counterparts, these solutions are nonsingular and asymptotically flat. The
solutions are characterized by the winding number n and the node number k of
the gauge field functions. For fixed n with increasing k the solutions tend to
``extremal'' Einstein-Maxwell-dilaton black holes with n units of magnetic
charge.Comment: 11 pages, including 2 postscript figure
A Measurement of Newton's Gravitational Constant
A precision measurement of the gravitational constant has been made using
a beam balance. Special attention has been given to determining the
calibration, the effect of a possible nonlinearity of the balance and the
zero-point variation of the balance. The equipment, the measurements and the
analysis are described in detail. The value obtained for G is 6.674252(109)(54)
10^{-11} m3 kg-1 s-2. The relative statistical and systematic uncertainties of
this result are 16.3 10^{-6} and 8.1 10^{-6}, respectively.Comment: 26 pages, 20 figures, Accepted for publication by Phys. Rev.
Angular momentum effects in Michelson-Morley type experiments
The effect of the angular momentum density of a gravitational source on the
times of flight of light rays in an interferometer is analyzed. The calculation
is made imagining that the interferometer is at the equator of the gravity
source and, as long as possible, the metric, provided it is stationary and
axisymmetric, is not approximated. Finally, in order to evaluate the size of
the effect in the case of the Earth a weak field approximation is introduced.
For laboratory scales and non-geodesic paths the correction turns out to be
comparable with the sensitivity expected in gravitational waves interferometric
detectors, whereas it drops under the threshold of detectability when using
free (geodesic) light rays.Comment: 12 pages, LaTeX; more about the detection technique, references
added; accepted for publication in GR
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