71,317 research outputs found
Generalised hyperbolicity in spacetimes with string-like singularities
In this paper we present well-posedness results of the wave equation in
for spacetimes that contain string-like singularities. These results
extend a framework able to characterise gravitational singularities as
obstruction to the dynamics of test fields rather than point particles. In
particular, we discuss spacetimes with cosmic strings and the relation of our
results to the Strong Cosmic Censorship Conjecture.Comment: Accepted for publication in Classical and Quantum Gravit
The legal form of labour conflicts and their time persistence: an empirical analysis with a large firms' panel
Using a panel of large firms from Spain, we check the relative time persistence of different types of labour conflicts such as strikes, collective conflicts, lockouts and other conflicts with lost working hours but without the previous stated legal forms for labour conflicts. We present random-effects probit estimations comparing observations with each type of conflicts with the same set of observations without any type of conflict. The results show that no legal form labour conflicts do not have long-term persistence (persistence is only in the short-term, from quarter to quarter), and the other types of conflicts suffer short and long-term persistence of confliction at the firm level, corresponds to strikes the higher size of both types of persistence. As short and long term persistence of strikes have almost the same size these results do not support asymmetric information theories of strike.Strike; labour conflict; time persistence; asymmetric information
Near field and far field scattering of surface plasmon polaritons by one-dimensional surface defects
A rigorous formulation for the scattering of surface plasmon polaritons (SPP)
from a one-dimensional surface defect of any shape that yields the
electromagnetic field in the vacuum half-space above the vacuum-metal interface
is developed by the use of an impedance boundary condition. The electric and
magnetic near fields, the angular distribution of the far-field radiation into
vacuum due to SPP-photon coupling, and the SPP reflection and transmission
coefficients are calculated by numerically solving the k-space integral
equation upon which the formulation is based. In particular, we consider
Gaussian-shaped defects and study the dependence of the above mentioned
physical quantities on their 1/e half-width a and height h. SPP reflection is
significant for narrow defects; maximum reflection (plasmon mirrors) is
achieved for a~lambda/10. For increasing defect widths, protuberances and
indentations behave differently. The former give rise to a monotonic increase
of radiation at the expense of SPP transmission for increasing defect
half-width. Indentations exhibit a significant increase of radiation (decrease
of SPP transmission) for half-widths of the order of or smaller than the
wavelength, but tend to total SPP transmission in an oscillatory manner upon
further increasing the half-width. Light-emitters might thus be associated with
either wide indentations, or protuberances with widths that are of the order of
or smaller than the wavelength.Comment: REVTeX 3.1, 10 pages with 9 EPS figures (epsf macro
The Effect of Spatial Curvature on the Classical and Quantum Strings
We study the effects of the spatial curvature on the classical and quantum
string dynamics. We find the general solution of the circular string motion in
static Robertson-Walker spacetimes with closed or open sections. This is given
closely and completely in terms of elliptic functions. The physical properties,
string length, energy and pressure are computed and analyzed. We find the {\it
back-reaction} effect of these strings on the spacetime: the self-consistent
solution to the Einstein equations is a spatially closed spacetime with
a selected value of the curvature index (the scale f* is normalized to
unity). No self-consistent solutions with exist. We semi-classically
quantize the circular strings and find the mass in each case. For
the very massive strings, oscillating on the full hypersphere, have {\it independent} of and the level spacing {\it
grows} with while the strings oscillating on one hemisphere (without
crossing the equator) have and a {\it finite} number of
states For there are infinitely many string states
with masses that is, the level spacing grows {\it slower} than
The stationary string solutions as well as the generic string fluctuations
around the center of mass are also found and analyzed in closed form.Comment: 30 pages Latex + three tables and five figures (not included
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