491 research outputs found

### Black Hole in a Model with Dilaton and Monopole Fields

We present an exact black hole solution in a model having besides gravity a
dilaton and a monopole field. The solution has three free parameters, one of
which can be identified with the monopole charge, and another with the ADM
mass. The metric is asymptotically flat and has two horizons and irremovable
singularity only at $r=0$. The dilaton field is singular only at $r=0$. The
dominant and the strong energy condition are satisfied outside and on the
external horizon. According to a formulation of the no hair conjecture the
solution is "hairy". Also the well know GHS-GM solution is obtained from our
solution for certain values of its parameters.Comment: Selected for Honorable Mention in the Gravity Research Foundation
Essay Competition, 2006, 7 page

### Self-similarity and singularity formation in a coupled system of Yang-Mills-dilaton evolution equations

We study both analytically and numerically a coupled system of spherically
symmetric SU(2) Yang-Mills-dilaton equation in 3+1 Minkowski space-time. It has
been found that the system admits a hidden scale invariance which becomes
transparent if a special ansatz for the dilaton field is used. This choice
corresponds to transition to a frame rotated in the $\ln r-t$ plane at a
definite angle. We find an infinite countable family of self-similar solutions
which can be parametrized by the $N$ - the number of zeros of the relevant
Yang-Mills function. According to the performed linear perturbation analysis,
the lowest solution with N=0 only occurred to be stable. The Cauchy problem has
been solved numerically for a wide range of smooth finite energy initial data.
It has been found that if the initial data exceed some threshold, the resulting
solutions in a compact region shrinking to the origin, attain the lowest N=0
stable self-similar profile, which can pretend to be a global stable attractor
in the Cauchy problem. The solutions live a finite time in a self-similar
regime and then the unbounded growth of the second derivative of the YM
function at the origin indicates a singularity formation, which is in agreement
with the general expectations for the supercritical systems.Comment: 10 pages, 5 figure

### New Critical Behavior in Einstein-Yang-Mills Collapse

We extend the investigation of the gravitational collapse of a spherically
symmetric Yang-Mills field in Einstein gravity and show that, within the black
hole regime, a new kind of critical behavior arises which separates black holes
formed via Type I collapse from black holes formed through Type II collapse.
Further, we provide evidence that these new attracting critical solutions are
in fact the previously discovered colored black holes with a single unstable
mode.Comment: 13 pages, 4 figure

### Trapped surfaces in spherical expanding open universes

Consider spherically symmetric initial data for a cosmology which, in the
large, approximates an open $k = -1 ,\Lambda = 0$ Friedmann-Lema{\^\i}tre
universe. Further assume that the data is chosen so that the trace of the
extrinsic curvature is a constant and that the matter field is at rest at this
instant of time. One expects that no trapped surfaces appear in the data if no
significant clump of excess matter is to be found. This letter confirms this
belief by displaying a necessary condition for the existence of trapped
surfaces.This necessary condition, simply stated, says that a relatively large
amount of excess matter must be concentrated in a small volume for trapped
surfaces to appear.Comment: 8 pages, Late

### Experimental determination of transient strain in a thermally-cycled simulated turbine blade utilizing a non-contact technique

A type of noncontacting electro-optical extensometer was used to measure the displacement between parallel targets mounted on the leading edge of a simulated turbine blade throughout a complete heating and cooling cycle. The blade was cyclically heated and cooled by moving it into and out of a Mach 1 hot gas stream. The principle of operation and measurement procedure of the electro-optics extensometer are described

### Dispersion and collapse of wave maps

We study numerically the Cauchy problem for equivariant wave maps from 3+1
Minkowski spacetime into the 3-sphere. On the basis of numerical evidence
combined with stability analysis of self-similar solutions we formulate two
conjectures. The first conjecture states that singularities which are produced
in the evolution of sufficiently large initial data are approached in a
universal manner given by the profile of a stable self-similar solution. The
second conjecture states that the codimension-one stable manifold of a
self-similar solution with exactly one instability determines the threshold of
singularity formation for a large class of initial data. Our results can be
considered as a toy-model for some aspects of the critical behavior in
formation of black holes.Comment: 14 pages, Latex, 9 eps figures included, typos correcte

### Thermal-fatigue and oxidation resistance of cobalt-modified Udimet 700 alloy

Comparative thermal-fatigue and oxidation resistances of cobalt-modified wrought Udimet 700 alloy (obtained by reducing the cobalt level by direct substitution of nickel) were determined from fluidized-bed tests. Bed temperatures were 1010 and 288 C (1850 and 550 C) for the first 5500 symmetrical 6-min cycles. From cycle 5501 to the 14000-cycle limit of testing, the heating bed temperature was increased to 1050 C (1922 F). Cobalt levels between 0 and 17 wt% were studied in both the bare and NiCrAlY overlay coated conditions. A cobalt level of about 8 wt% gave the best thermal-fatigue life. The conventional alloy specification is for 18.5% cobalt, and hence, a factor of 2 in savings of cobalt could be achieved by using the modified alloy. After 13500 cycles, all bare cobalt-modified alloys lost 10 to 13 percent of their initial weight. Application of the NiCrAlY overlay coating resulted in weight losses of 1/20 to 1/100 of that of the corresponding bare alloy

### Comparative thermal fatigue resistances of twenty-six nickel and cobalt base alloys

Thermal fatigue resistances were determined from fluidized bed tests. Cycles to cracking differed by almost three orders of magnitude for these materials with directional solidification and surface protection of definite benefit. The alloy-coating combination with the highest thermal fatigue resistance was directionally solidified NASA TAZ-8A with an RT-XP coating. It oxidation resistance was excellent, showing almost no weight change after 15 000 fluidized bed cycles

### Formation of singularities for equivariant 2+1 dimensional wave maps into the two-sphere

In this paper we report on numerical studies of the Cauchy problem for
equivariant wave maps from 2+1 dimensional Minkowski spacetime into the
two-sphere. Our results provide strong evidence for the conjecture that large
energy initial data develop singularities in finite time and that singularity
formation has the universal form of adiabatic shrinking of the degree-one
harmonic map from $\mathbb{R}^2$ into $S^2$.Comment: 14 pages, 5 figures, final version to be published in Nonlinearit

### Thermal fatigue resistance of NASA WAZ-20 alloy with three commercial coatings

Screening tests using three commercial coatings (Jocoat, HI-15, and RT-1A) on the nickel-base alloy NASA WAZ-20 were performed by cyclic exposure in a Mach 1 burner facility. These tests showed Jocoated WAZ-20 to have the best cracking resistance. The thermal fatigue resistance of Jocoated WAZ-20 in both the random polycrystalline and directionally solidified polycrystalline forms relative to that of other superalloys was then evaluated in a fluidized-bed facility. This investigation showed that Jocoated random polycrystalline WAZ-20 ranked approximately in midrange in thermal fatigue life. The thermal fatigue life of directionally solidified Jocoated WAZ-20 was shorter than that of other directionally solidified alloys but still longer than that of all alloys in the random polycrystalline form

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