8,380 research outputs found
Singularity theorems based on trapped submanifolds of arbitrary co-dimension
Standard singularity theorems are proven in Lorentzian manifolds of arbitrary
dimension n if they contain closed trapped submanifolds of arbitrary
co-dimension. By using the mean curvature vector to characterize trapped
submanifolds, a unification of the several possibilities for the boundary
conditions in the traditional theorems and their generalization to arbitrary
co-dimension is achieved. The classical convergence conditions must be replaced
by a condition on sectional curvatures, or tidal forces, which reduces to the
former in the cases of co-dimension 1, 2 or n.Comment: 11 pages, no figures, some corrections
Topological censorship for Kaluza-Klein space-times
The standard topological censorship theorems require asymptotic hypotheses
which are too restrictive for several situations of interest. In this paper we
prove a version of topological censorship under significantly weaker
conditions, compatible e.g. with solutions with Kaluza-Klein asymptotic
behavior. In particular we prove simple connectedness of the quotient of the
domain of outer communications by the group of symmetries for models which are
asymptotically flat, or asymptotically anti-de Sitter, in a Kaluza-Klein sense.
This allows one, e.g., to define the twist potentials needed for the reduction
of the field equations in uniqueness theorems. Finally, the methods used to
prove the above are used to show that weakly trapped compact surfaces cannot be
seen from Scri.Comment: minor correction
A Double Outburst from IGR J00291+5934: Implications for Accretion Disk Instability Theory
The accretion-powered millisecond pulsar IGR J00291+5934 underwent two ~10 d
long outbursts during 2008, separated by 30 d in quiescence. Such a short
quiescent period between outbursts has never been seen before from a neutron
star X-ray transient. X-ray pulsations at the 599 Hz spin frequency are
detected throughout both outbursts. For the first time, we derive a pulse phase
model that connects two outbursts, providing a long baseline for spin frequency
measurement. Comparison with the frequency measured during the 2004 outburst of
this source gives a spin-down during quiescence of -4(1)x10^-15 Hz/s,
approximately an order of magnitude larger than the long-term spin-down
observed in the 401 Hz accretion-powered pulsar SAX J1808.4-3658. If this
spin-down is due to magnetic dipole radiation, it requires a 2x10^8 G field
strength, and its high spin-down luminosity may be detectable with the Fermi
Large Area Telescope. Alternatively, this large spin-down could be produced by
gravitational wave emission from a fractional mass quadrupole moment of Q/I =
1x10^{-9}. The rapid succession of the outbursts also provides a unique test of
models for accretion in low-mass X-ray binaries. Disk instability models
generally predict that an outburst will leave the accretion disk too depleted
to fuel a second outburst after such a brief quiescence. We suggest a
modification in which the outburst is shut off by the onset of a propeller
effect before the disk is depleted. This model can explain the short quiescence
and the unusually slow rise of the light curve of the second 2008 outburst.Comment: 17 pages, 8 figures; accepted by Ap
Inertial navigation/calibration/precise time and frequency capabilities
The Aerospace Guidance and Metrology Center was conceived in 1959 to be the US Air Force Inertial Navigation and Metrology Center. This paper will show the mission capabilities of the Inertial Navigation Maintenance Center and the Air Force Measurement and Standards Laboratory. Highlighted will be the precise time and frequency program developed by AGMC to support Air Force precise time and frequency requirements worldwide. A description of the past, present, and future precise time and frequency activities will be presented
Erosion-corrosion behaviour of Zirconia WC-6Co, WC-6Ni and SS316
The current study investigates a ceramic, two cermets and a metal under solid-liquid impingement with 3.5% NaCl and 150mg/l hydraulic fracturing sand at two extreme angles of impact, 90° and 20°. The materials tested were Zirconia, sintered WC-6Co, sintered WC-6Ni and SS316. Each material was exposed to a testing regime using re-circulating impinging jet apparatus with a velocity of 19m/s and one hour duration. The electrochemical properties of the materials were investigated in-situ through anodic and cathodic polarisation and application of cathodic protection. Post experimental analysis of the degraded surface was completed using Scanning Electron Microscopy (SEM) and Optical 3D Imaging. Zirconia exhibited a brittle response to erosion-corrosion testing with the mass loss at 90° being fifty times greater than the negligible mass loss at 20°. WC-6Co and WC-6Ni both outperformed SS316 under all solid-liquid impingement erosion-corrosion testing regimes. WC-6Ni exhibited slightly better erosion-corrosion resistance over WC-6Co at both 90° and 20°. SS316 had the best corrosion resistance and showed passivation during anodic polarisations in solid-liquid impingement conditions. The nickel binder increased the corrosion resistance of WC-6Ni over WC-6Co. Cathodic protection was successfully applied on sintered WC-6Co and SS316 isolating the key components of erosion-corrosion
A simple proof of the recent generalisations of Hawking's black hole topology theorem
A key result in four dimensional black hole physics, since the early 1970s,
is Hawking's topology theorem asserting that the cross-sections of an "apparent
horizon", separating the black hole region from the rest of the spacetime, are
topologically two-spheres. Later, during the 1990s, by applying a variant of
Hawking's argument, Gibbons and Woolgar could also show the existence of a
genus dependent lower bound for the entropy of topological black holes with
negative cosmological constant. Recently Hawking's black hole topology theorem,
along with the results of Gibbons and Woolgar, has been generalised to the case
of black holes in higher dimensions. Our aim here is to give a simple
self-contained proof of these generalisations which also makes their range of
applicability transparent.Comment: 12 pages, 1 figur
On the Gannon-Lee Singularity Theorem in Higher Dimensions
The Gannon-Lee singularity theorems give well-known restrictions on the
spatial topology of singularity-free (i.e., nonspacelike geodesically
complete), globally hyperbolic spacetimes. In this paper, we revisit these
classic results in the light of recent developments, especially the failure in
higher dimensions of a celebrated theorem by Hawking on the topology of black
hole horizons. The global hyperbolicity requirement is weakened, and we expand
the scope of the main results to allow for the richer variety of spatial
topologies which are likely to occur in higher-dimensional spacetimes.Comment: 13 pages, no figures, to appear in Class. Quantum Gra
Goldstone Gauginos
Models of supersymmetry with Dirac gauginos provide an attractive scenario
for physics beyond the standard model. The "supersoft" radiative corrections
and suppressed SUSY production at colliders provide for more natural theories
and an understanding of why no new states have been seen. Unfortunately, these
models are handicapped by a tachyon which is naturally present in existing
models of Dirac gauginos. We argue that this tachyon is absent, with the
phenomenological successes of the model preserved, if the right handed gaugino
is a (pseudo-)Goldstone field of a spontaneously broken anomalous flavor
symmetry.Comment: 5 pages, 1 figure. v2: minor changes to text, references added and
update
Models of Goldstone Gauginos
Models with Dirac gauginos provide appealing scenarios for physics beyond the
standard model. They have smaller radiative corrections to the Higgs mass, a
suppression of certain SUSY production processes, and ameliorated flavor
constraints. Unfortunately, they also generally have tachyons, the solutions to
which typically spoil these positive features. The recently proposed "Goldstone
Gaugino" mechanism provides a simple solution that eliminates these tachyonic
states. We provide details on this mechanism and explore models for its origin.
In particular, we find SUSY QCD models that realize this idea simply, and
discuss scenarios for unification.Comment: 33 pages, 4 figure
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