5,498 research outputs found
Bondi-Sachs Energy-Momentum for the CMC Initial Value Problem
The constraints on the asymptotic behavior of the conformal factor and
conformal extrinsic curvature imposed by the initial value equations of general
relativity on constant mean extrinsic curvature (CMC) hypersurfaces are
analyzed in detail. We derive explicit formulas for the Bondi-Sachs energy and
momentum in terms of coefficients of asymptotic expansions on CMC hypersurfaces
near future null infinity. Precise numerical results for the Bondi-Sachs
energy, momentum, and angular momentum are used to interpret physically
Bowen-York solutions of the initial value equations on conformally flat CMC
hypersurfaces of the type obtained earlier by Buchman et al. [Phys. Rev. D
80:084024 (2009)].Comment: version to be published in Phys. Rev.
Structural Basis for the Anomalously Low Spontaneous Polarisation Values of the Polar Phase of Sr1-xCaxTiO3 (x=0.02, 0.04): Evidence for a Ferrielectric Ordering
Full pattern Le-Bail refinement using x-ray powder diffraction profiles of
Sr1-xCaxTiO3 for x=0.02, 0.04 in the temperature range 12 to 300 K reveals
anomalies in the unit cell parameters at 170, 225 K due to an
antiferrodistortive (cubic to tetragonal I4/mcm) phase transition and at ~32,
~34 K due to a transition to a polar phase (tetragonal I4/mcm to orthorhombic
Ic2m), respectively. The lower transition temperatures obtained by us are in
excellent agreement with those reported on the basis of the dielectric studies
by Bednorz and Muller, [10] who attributed these to ferroelectric transition.
Rietveld analysis of the diffraction profiles of the polar phase reveals
off-centre displacements of both Sr2+/Ca2+ and Ti4+ ions in the X-Y plane along
pseudocubic directions, in agreement with the experimentally reported
direction of easy polarization by Bednorz and Muller, but the resulting dipole
moments are shown to be ferrielectrically coupled in the neighbouring (001)
planes along the [001] direction leading to anomalously low values of the
spontaneous polarization at 12K.Comment: 5 pages, 4 figures and 1 tabl
Black hole initial data on hyperboloidal slices
We generalize Bowen-York black hole initial data to hyperboloidal constant
mean curvature slices which extend to future null infinity. We solve this
initial value problem numerically for several cases, including unequal mass
binary black holes with spins and boosts. The singularity at null infinity in
the Hamiltonian constraint associated with a constant mean curvature
hypersurface does not pose any particular difficulties. The inner boundaries of
our slices are minimal surfaces. Trumpet configurations are explored both
analytically and numerically.Comment: version for publication in Phys. Rev.
γ-synuclein is a novel player in the control of body lipid metabolism
Peer reviewedPublisher PD
LANDSAT inventory of surface-mined areas using extendible digital techniques
Multispectral analysis of LANDSAT imagery provides a rapid and accurate means of identification, classification, and measurement of strip-mined surfaces in Western Maryland. Four band analysis allows distinction of a variety of strip-mine associated classes, but has limited extendibility. A method for surface area measurement of strip mines, which is both geographically and temporally extendible, was developed using band-ratioed LANDSAT reflectance data. The accuracy of area measurement by this method, averaged over three LANDSAT scenes taken between September 1972 and July 1974, is greater than 93%. Total affected acreage of large (50 hectare/120 acre) mines can be measured to within 1.0%
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