2,078 research outputs found
Note on Signature Change and Colombeau Theory
Recent work alludes to various `controversies' associated with signature
change in general relativity. As we have argued previously, these are in fact
disagreements about the (often unstated) assumptions underlying various
possible approaches. The choice between approaches remains open.Comment: REVTex, 3 pages; to appear in GR
The Effect of Negative-Energy Shells on the Schwarzschild Black Hole
We construct Penrose diagrams for Schwarzschild spacetimes joined by massless
shells of matter, in the process correcting minor flaws in the similar diagrams
drawn by Dray and 't Hooft, and confirming their result that such shells
generate a horizon shift. We then consider shells with negative energy density,
showing that the horizon shift in this case allows for travel between the
heretofore causally separated exterior regions of the Schwarzschild geometry.
These drawing techniques are then used to investigate the properties of
successive shells, joining multiple Schwarzschild regions. Again, the presence
of negative-energy shells leads to a causal connection between the exterior
regions, even in (some) cases with two successive shells of equal but opposite
total energy.Comment: 12 pages, 10 figure
Reply Comment: Comparison of Approaches to Classical Signature Change
We contrast the two approaches to ``classical" signature change used by
Hayward with the one used by us (Hellaby and Dray). There is (as yet) no
rigorous derivation of appropriate distributional field equations. Hayward's
distributional approach is based on a postulated modified form of the field
equations. We make an alternative postulate. We point out an important
difference between two possible philosophies of signature change --- ours is
strictly classical, while Hayward's Lagrangian approach adopts what amounts to
an imaginary proper ``time" on one side of the signature change, as is
explicitly done in quantum cosmology. We also explain why we chose to use the
Darmois-Israel type junction conditions, rather than the Lichnerowicz type
junction conditions favoured by Hayward. We show that the difference in results
is entirely explained by the difference in philosophy (imaginary versus real
Euclidean ``time"), and not by the difference in approach to junction
conditions (Lichnerowicz with specific coordinates versus Darmois with general
coordinates).Comment: 10 pages, latex, no figures. Replying to - "Comment on `Failure of
Standard Conservation Laws at a Classical Change of Signature'", S.A.
Hayward, Phys. Rev. D52, 7331-7332 (1995) (gr-qc/9606045
A New Look at the Ashtekar-Magnon Energy Condition
In 1975, Ashtekar and Magnon showed that an energy condition selects a unique
quantization procedure for certain observers in general, curved spacetimes. We
generalize this result in two important ways, by eliminating the need to assume
a particular form for the (quantum) Hamiltonian, and by considering the
surprisingly nontrivial extension to nonminimal coupling.Comment: REVTeX, 10 page
Exploring Participatory Design Methods to Engage with Arab Communities
ArabHCI is an initiative inaugurated in CHI17 SIG Meeting that brought together 45+ HCI Arab and non-Arab researchers/practitioners who are conducting/interested in HCI within Arab communities. The goal of this workshop is to start dialogs that leverage our "insider" understanding of HCI research in the Arab context and assert our culture identity in design in order to explore challenges and opportunities for future research. In this workshop, we focus on one of the themes that derived our community discussions in most of the held events. We explore the extent to which participatory approaches in the Arab context are culturally and methodologically challenged. Our goal is to bring researchers/practitioners with success and failure stories while designing with Arab communities to discuss methods, share experiences and learned lessons. We plan to share the results of our discussions and research agenda with the wider CHI community through different social and scholarly channels
Comment on `Smooth and Discontinuous Signature Type Change in General Relativity'
Kossowski and Kriele derived boundary conditions on the metric at a surface
of signature change. We point out that their derivation is based not only on
certain smoothness assumptions but also on a postulated form of the Einstein
field equations. Since there is no canonical form of the field equations at a
change of signature, their conclusions are not inescapable. We show here that a
weaker formulation is possible, in which less restrictive smoothness
assumptions are made, and (a slightly different form of) the Einstein field
equations are satisfied. In particular, in this formulation it is possible to
have a bounded energy-momentum tensor at a change of signature without
satisfying their condition that the extrinsic curvature vanish.Comment: Plain TeX, 6 pages; Comment on Kossowski and Kriele: Class. Quantum
Grav. 10, 2363 (1993); Reply by Kriele: Gen. Rel. Grav. 28, 1409-1413 (1996
Motivation and Retention of Instrumental Music Students in a Suburban School District
The purpose of this study was to investigate the motivation of students to join and remain in instrumental music in suburban school districts through the analysis of quantitative and qualitative data. The goal was to seek which area of motivation in each grade level and school building had the highest impact on student involvement and retention. Areas of motivation studied include teacher/student relationships, intrinsic motivation, extrinsic motivation, approach success/avoid failure, competition/ego, peer involvement, parental support, and financial issues. The sample included 205 students from a suburban school district in New York. Students were broken into groups based on school buildings which are based on grade level: Group 1/4th grade (n=41), Group 2/ 5th and 6th grade (n=87), Group 3/ 7th and 8th grade (n=41), and Group 4/ 9th through 12th grade (n=53). Data indicated that at the elementary level (Group 1), strong motivators to join and remain in band include peer involvement, intrinsic motivation, and teacher-student relationships. At the intermediate level (Group 2), intrinsic motivation and peer involvement have the greatest influence on students. Teacher-student relationships, parental support, and intrinsic motivation highly impact junior high school (Group 3) students. At the high school level (Group 4), intrinsic motivation was very high. Extrinsic motivation was also highest at the high school level but was not ranked the highest among high school students in terms of motivational orientations. Financial issues did not appear to cause a great impact on any level
Actions for signature change
This is a contribution on the controversy about junction conditions for
classical signature change. The central issue in this debate is whether the
extrinsic curvature on slices near the hypersurface of signature change has to
be continuous ({\it weak} signature change) or to vanish ({\it strong}
signature change). Led by a Lagrangian point of view, we write down eight
candidate action functionals ,\dots as possible generalizations of
general relativity and investigate to what extent each of these defines a
sensible variational problem, and which junction condition is implied. Four of
the actions involve an integration over the total manifold. A particular
subtlety arises from the precise definition of the Einstein-Hilbert Lagrangian
density . The other four actions are constructed as sums of
integrals over singe-signature domains. The result is that {\it both} types of
junction conditions occur in different models, i.e. are based on different
first principles, none of which can be claimed to represent the ''correct''
one, unless physical predictions are taken into account. From a point of view
of naturality dictated by the variational formalism, {\it weak} signature
change is slightly favoured over {\it strong} one, because it requires less
{\it \`a priori} restrictions for the class of off-shell metrics. In addition,
a proposal for the use of the Lagrangian framework in cosmology is made.Comment: 36 pages, LaTeX, no figures; some corrections have been made, several
Comments and further references are included and a note has been added
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