229 research outputs found
Comments on photonic shells
We investigate in detail the special case of an infinitely thin static
cylindrical shell composed of counter-rotating photons on circular geodetical
paths separating two distinct parts of Minkowski spacetimes--one inside and the
other outside the shell--and compare it to a static disk shell formed by null
particles counter-rotating on circular geodesics within the shell located
between two sections of flat spacetime. One might ask whether the two cases are
not, in fact, merely one
Axially symmetric Einstein-Straus models
The existence of static and axially symmetric regions in a Friedman-Lemaitre
cosmology is investigated under the only assumption that the cosmic time and
the static time match properly on the boundary hypersurface. It turns out that
the most general form for the static region is a two-sphere with arbitrarily
changing radius which moves along the axis of symmetry in a determined way. The
geometry of the interior region is completely determined in terms of background
objects. When any of the most widely used energy-momentum contents for the
interior region is imposed, both the interior geometry and the shape of the
static region must become exactly spherically symmetric. This shows that the
Einstein-Straus model, which is the generally accepted answer for the null
influence of the cosmic expansion on the local physics, is not a robust model
and it is rather an exceptional and isolated situation. Hence, its suitability
for solving the interplay between cosmic expansion and local physics is
doubtful and more adequate models should be investigated.Comment: Latex, no figure
Small seed bank in grasslands and tree plantations in former grassland sites in the South Brazilian highlands
The soil seed bank can be an important source for vegetation regeneration, and data on the similarity between aboveground vegetation and the seed bank can provide information about successional pathways after disturbances or land‐use change. We conducted this study in natural grasslands in the subtropical highland region in southern Brazil. We evaluated the effect of silviculture on richness, density, and composition of the seed bank at former grassland sites converted to pine plantations 25 years ago. We worked at six grassland sites and three pine plantation sites and used the seedling emergence method. Seed bank density and richness in grasslands were lower than those reported in similar environments in other regions. Species richness and density varied considerably within each vegetation type; therefore, richness and density were not statistically significant, while composition varied among vegetation types. In terms of species, the pine plantation seed bank was a small subset of the grassland seed bank. Seeds of typical grassland species were missing in the pine plantation, but also had only low abundances in the grassland, and similarity of seed bank and vegetation were low (less than 20%). The low seed density found in this study, including in grasslands areas, indicates that regeneration of species from the soil seed bank likely is of a limited role for the maintenance of plant populations after disturbances in this system. Our data further suggest that natural regeneration after tree planting in grasslands is reduced due to seed limitation
The evolution of interdisciplinarity in physics research
Science, being a social enterprise, is subject to fragmentation into groups
that focus on specialized areas or topics. Often new advances occur through
cross-fertilization of ideas between sub-fields that otherwise have little
overlap as they study dissimilar phenomena using different techniques. Thus to
explore the nature and dynamics of scientific progress one needs to consider
the large-scale organization and interactions between different subject areas.
Here, we study the relationships between the sub-fields of Physics using the
Physics and Astronomy Classification Scheme (PACS) codes employed for
self-categorization of articles published over the past 25 years (1985-2009).
We observe a clear trend towards increasing interactions between the different
sub-fields. The network of sub-fields also exhibits core-periphery
organization, the nucleus being dominated by Condensed Matter and General
Physics. However, over time Interdisciplinary Physics is steadily increasing
its share in the network core, reflecting a shift in the overall trend of
Physics research.Comment: Published version, 10 pages, 8 figures + Supplementary Informatio
Gravitational Lensing by Wormholes
Gravitational lensing by traversable Lorentzian wormholes is a ew possibility
which is analyzed here in the strong field limit. Wormhole solutions are
considered in the Einstein minimally coupled theory and in the brane world
model. The observables in both the theories show significant differences from
those arising in the Schwarzschild black hole lensing. As a corollary, it
follows that wormholes with zero Keplerian mass exhibit lensing properties
which are qualitatively (though not quantitatively) the same as those of a
Schwarzschild black hole. Some special features of the considered solutions are
pointed out.Comment: 20 pages, no figure
Effects of time window size and placement on the structure of aggregated networks
Complex networks are often constructed by aggregating empirical data over
time, such that a link represents the existence of interactions between the
endpoint nodes and the link weight represents the intensity of such
interactions within the aggregation time window. The resulting networks are
then often considered static. More often than not, the aggregation time window
is dictated by the availability of data, and the effects of its length on the
resulting networks are rarely considered. Here, we address this question by
studying the structural features of networks emerging from aggregating
empirical data over different time intervals, focussing on networks derived
from time-stamped, anonymized mobile telephone call records. Our results show
that short aggregation intervals yield networks where strong links associated
with dense clusters dominate; the seeds of such clusters or communities become
already visible for intervals of around one week. The degree and weight
distributions are seen to become stationary around a few days and a few weeks,
respectively. An aggregation interval of around 30 days results in the stablest
similar networks when consecutive windows are compared. For longer intervals,
the effects of weak or random links become increasingly stronger, and the
average degree of the network keeps growing even for intervals up to 180 days.
The placement of the time window is also seen to affect the outcome: for short
windows, different behavioural patterns play a role during weekends and
weekdays, and for longer windows it is seen that networks aggregated during
holiday periods are significantly different.Comment: 19 pages, 11 figure
Exact Charged 2-Body Motion and the Static Balance Condition in Lineal Gravity
We find an exact solution to the charged 2-body problem in
dimensional lineal gravity which provides the first example of a relativistic
system that generalizes the Majumdar-Papapetrou condition for static balance.Comment: latex,7 pages, 2 figure
Consensus formation on coevolving networks: groups' formation and structure
We study the effect of adaptivity on a social model of opinion dynamics and
consensus formation. We analyze how the adaptivity of the network of contacts
between agents to the underlying social dynamics affects the size and
topological properties of groups and the convergence time to the stable final
state. We find that, while on static networks these properties are determined
by percolation phenomena, on adaptive networks the rewiring process leads to
different behaviors: Adaptive rewiring fosters group formation by enhancing
communication between agents of similar opinion, though it also makes possible
the division of clusters. We show how the convergence time is determined by the
characteristic time of link rearrangement. We finally investigate how the
adaptivity yields nontrivial correlations between the internal topology and the
size of the groups of agreeing agents.Comment: 10 pages, 3 figures,to appear in a special proceedings issue of J.
Phys. A covering the "Complex Networks: from Biology to Information
Technology" conference (Pula, Italy, 2007
A class of exact solutions of Einstein's field equations in higher dimensional spacetimes, d: Majumdar-Papapetrou solutions
The Newtonian theory of gravitation and electrostatics admit equilibrium
configurations of charged fluids where the charge density can be equal to the
mass density, in appropriate units. The general relativistic analog for charged
dust stars was discovered by Majumdar and by Papapetrou. In the present work we
consider Einstein-Maxwell solutions in d-dimensional spacetimes and show that
there are Majumdar-Papapetrou type solutions for all . It is
verified that the equilibrium is independent of the shape of the distribution
of the charged matter. It is also showed that for perfect fluid solutions
satisfying the Majumdar-Papapetrou condition with a boundary where the pressure
is zero, the pressure vanishes everywhere, and that the -dimensional spatial section of the spacetime is conformal to a
Ricci-flat space. The Weyl d-dimensional axisymmetric solutions are generalized
to include electric field and charged matter.Comment: 26 pages, no figure
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