778 research outputs found
Geoids in General Relativity: Geoid Quasilocal Frames
We develop, in the context of general relativity, the notion of a geoid -- a
surface of constant "gravitational potential". In particular, we show how this
idea naturally emerges as a specific choice of a previously proposed, more
general and operationally useful construction called a quasilocal frame -- that
is, a choice of a two-parameter family of timelike worldlines comprising the
worldtube boundary of the history of a finite spatial volume. We study the
geometric properties of these geoid quasilocal frames, and construct solutions
for them in some simple spacetimes. We then compare these results -- focusing
on the computationally tractable scenario of a non-rotating body with a
quadrupole perturbation -- against their counterparts in Newtonian gravity (the
setting for current applications of the geoid), and we compute
general-relativistic corrections to some measurable geometric quantities.Comment: 24 pages, 8 figures; v2: reference added; v3: introduction clarified,
reference adde
An Examination of the Benefits of E-Business to Small and Medium Size Businesses
Small and Medium Sized Enterprises (SME) play a significant part in economies throughout the world. In the early developmental stages of e-commerce/e-business many believed that it would enable these SMEs to compete head-to-head with large companies. While much has been done to examine the adoption of e-commerce/e-business, few have addressed the benefit that it is providing these businesses. This study identifies the types of e-commerce that SMEs are using and examines the benefits that are received from this use
Black Holes and Boson Stars with One Killing Field in Arbitrary Odd Dimensions
We extend the recent D=5 results of Dias, Horowitz and Santos by finding
asymptotically AdS rotating black hole and boson star solutions with scalar
hair in arbitrary odd spacetime dimension. Both the black holes and the boson
stars are invariant under a single Killing vector field which co-rotates with
the scalar field and, in the black hole case, is tangent to the generator of
the horizon. Furthermore, we explicitly construct boson star and small black
hole () solutions perturbatively assuming a small amplitude for
the scalar field, resulting in solutions valid for low energies and angular
momenta. We find that just as in D=5, the angular momentum is primarily carried
by the scalar field in , whereas unlike D=5 the energy is also primarily
carried by the scalar field in ; the thermodynamics in D=5 are governed by
both the black hole and scalar field whereas in they are governed
primarily by the scalar field alone. We focus on cataloguing these solutions
for the spacetime dimensions of interest in string theory, namely .Comment: 28 pages, 1 table, 2 Appendices. v2: minor typos corrected,
references added, small discussion added to section 4. v3: typos corrected,
thermodynamic discussion expanded, accepted in PR
Composition and properties of bovine colostrum: a review
International audienceAbstractColostrum is the initial milk secreted by mammals following parturition, the composition and physicochemical properties of which are highly dynamic and variable. The composition and physicochemical properties of colostrum during the initial post-partum period has not been systematically reviewed for many years, although the topic remains of interest both to milk producers and processors. In this article, the current understanding of the composition of colostrum, i.e. carbohydrates, proteins, growth factors, enzymes, enzyme inhibitors, nucleotides and nucleosides, cytokines, fats, vitamins and minerals, is reviewed. In addition, the physicochemical properties, i.e. pH and buffering capacity, colour, density and specific gravity, osmotic pressure, somatic cell count, properties of casein micelles, ethanol stability and rennet coagulation properties are discussed, as well as the effects of heat-treating colostrum
Rigid motion revisited: rigid quasilocal frames
We introduce the notion of a rigid quasilocal frame (RQF) as a geometrically
natural way to define a "system" in general relativity. An RQF is defined as a
two-parameter family of timelike worldlines comprising the worldtube boundary
of the history of a finite spatial volume, with the rigidity conditions that
the congruence of worldlines is expansion-free (constant size) and shear-free
(constant shape). This definition of a system is anticipated to yield simple,
exact geometrical insights into the problem of motion in general relativity. It
begins by answering the questions what is in motion (a rigid two-dimensional
system boundary), and what motions of this rigid boundary are possible. Nearly
a century ago Herglotz and Noether showed that a three-parameter family of
timelike worldlines in Minkowski space satisfying Born's 1909 rigidity
conditions has only three degrees of freedom instead of the six we are familiar
with from Newtonian mechanics. We argue that in fact we can implement Born's
notion of rigid motion in both flat spacetime (this paper) and arbitrary curved
spacetimes containing sources (subsequent papers) - with precisely the expected
three translational and three rotational degrees of freedom - provided the
system is defined quasilocally as the two-dimensional set of points comprising
the boundary of a finite spatial volume, rather than the three-dimensional set
of points within the volume.Comment: 10 pages (two column), 24 pages (preprint), 1 figur
HST/STIS Ultraviolet Imaging of Polar Aurora on Ganymede
We report new observations of the spectrum of Ganymede in the spectral range
1160 - 1720 A made with the Space Telescope Imaging Spectrograph (STIS) on HST
on 1998 October 30. The observations were undertaken to locate the regions of
the atomic oxygen emissions at 1304 and 1356 A, previously observed with the
GHRS on HST, that Hall et al. (1998) claimed indicated the presence of polar
aurorae on Ganymede. The use of the 2" wide STIS slit, slightly wider than the
disk diameter of Ganymede, produced objective spectra with images of the two
oxygen emissions clearly separated. The OI emissions appear in both
hemispheres, at latitudes above 40 degrees, in accordance with recent Galileo
magnetometer data that indicate the presence of an intrinsic magnetic field
such that Jovian magnetic field lines are linked to the surface of Ganymede
only at high latitudes. Both the brightness and relative north-south intensity
of the emissions varied considerably over the four contiguous orbits (5.5
hours) of observation, presumably due to the changing Jovian plasma environment
at Ganymede. However, the observed longitudinal non-uniformity in the emission
brightness at high latitudes, particularly in the southern hemisphere, and the
lack of pronounced limb brightening near the poles are difficult to understand
with current models. In addition to observed solar HI Lyman-alpha reflected
from the disk, extended Lyman-alpha emission resonantly scattered from a
hydrogen exosphere is detected out to beyond two Ganymede radii from the limb,
and its brightness is consistent with the Galileo UVS measurements of Barth et
al. (1997).Comment: 7 pages, 4 figures, accepted for publication in ApJ, June 1, 200
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