755 research outputs found
Test Matter in a Spacetime with Nonmetricity
Examples in which spacetime might become non-Riemannian appear above Planck
energies in string theory or, in the very early universe, in the inflationary
model. The simplest such geometry is metric-affine geometry, in which {\it
nonmetricity} appears as a field strength, side by side with curvature and
torsion. In matter, the shear and dilation currents couple to nonmetricity, and
they are its sources. After reviewing the equations of motion and the Noether
identities, we study two recent vacuum solutions of the metric-affine gauge
theory of gravity. We then use the values of the nonmetricity in these
solutions to study the motion of the appropriate test-matter. As a
Regge-trajectory like hadronic excitation band, the test matter is endowed with
shear degrees of freedom and described by a world spinor.Comment: 14 pages, file in late
Density-matrix spectra for integrable models
The spectra which occur in numerical density-matrix renormalization group
(DMRG) calculations for quantum chains can be obtained analytically for
integrable models via corner transfer matrices. This is shown in detail for the
transverse Ising chain and the uniaxial XXZ Heisenberg model and explains in
particular their exponential character in these cases.Comment: 14 pages, 7 figures, to appear in Ann. Physi
Projective Invariance and One-Loop Effective Action in Affine-Metric Gravity Interacting with Scalar Field
We investigate the influence of the projective invariance on the
renormalization properties of the theory. One-loop counterterms are calculated
in the most general case of interaction of gravity with scalar field.Comment: 10 pages, LATE
Maxwell's field coupled nonminimally to quadratic torsion: Induced axion field and birefringence of the vacuum
We consider a possible (parity conserving) interaction between the
electromagnetic field and a torsion field of spacetime. For
generic elementary torsion, gauge invariant coupling terms of lowest order fall
into two classes that are both nonminimal and {\it quadratic} in torsion. These
two classes are displayed explicitly. The first class of the type
yields (undesirable) modifications of the Maxwell equations. The second class
of the type doesn't touch the Maxwell equations but rather
modifies the constitutive tensor of spacetime. Such a modification can be
completely described in the framework of metricfree electrodynamics. We
recognize three physical effects generated by the torsion: (i) An axion field
that induces an {\em optical activity} into spacetime, (ii) a modification of
the light cone structure that yields {\em birefringence} of the vacuum, and
(iii) a torsion dependence of the {\em velocity of light.} We study these
effects in the background of a Friedmann universe with torsion. {\it File
tor17.tex, 02 August 2003}Comment: 6 page
Use of Mobile Devices in Public Participation for the Design of Open Spaces
Mobile devices are ubiquitous nowadays. Their use is expanding into a wide range of
applications. The potential contribution of mobile devices for public participation during
the decision-making process is yet unclear. This study uses the case study of a new urban
park in Sheffield, UK. Using iPads, views of stakeholders including hard-to-reach groups,
students and professionals are sought regarding the mobile device technology and regarding
the park design. Participants were shown a short animated video of a three-dimensional
model of the study site and were asked questions about the mobile device visualization. The
study shows that visualization using mobile devices can contribute to enhancing the understanding
of the general public, thus creating a broader base for decision-making
The use of mobile devices in participatory decision-making
Simulations have always been used for public participation in the form of maps, photos, sketches and models. Technological developments in computing and mobile platform have brought a new perspective to simulations and their use for participation. To our best knowledge, no in-depth study has been conducted related to the strengths and weaknesses of mobile device 3D visualisation use in landscape architecture. Therefore, this paper investigates the opportunities and challenges and mobile device use during a participatory decision-making process, with the help of related literature and experiences from the surveys conducted. Although pre-prepared visualisations have positive influence on engaging the public and enhancing the understanding, there is still need for future research to decide which specific mobile visualisation technique is advantageous compared to the rest of visualisation techniques
Pound-Rebka experiment and torsion in the Schwarzschild spacetime
We develop some ideas discussed by E. Schucking [arXiv:0803.4128] concerning
the geometry of the gravitational field. First, we address the concept
according to which the gravitational acceleration is a manifestation of the
spacetime torsion, not of the curvature tensor. It is possible to show that
there are situations in which the geodesic acceleration of a particle may
acquire arbitrary values, whereas the curvature tensor approaches zero. We
conclude that the spacetime curvature does not affect the geodesic
acceleration. Then we consider the the Pound-Rebka experiment, which relates
the time interval of two light signals emitted at a position
, to the time interval of the signals received at a
position , in a Schwarzschild type gravitational field. The experiment is
determined by four spacetime events. The infinitesimal vectors formed by these
events do not form a parallelogram in the (t,r) plane. The failure in the
closure of the parallelogram implies that the spacetime has torsion. We find
the explicit form of the torsion tensor that explains the nonclosure of the
parallelogram.Comment: 16 pages, two figures, one typo fixed, one paragraph added in section
On reference frames in spacetime and gravitational energy in freely falling frames
We consider the interpretation of tetrad fields as reference frames in
spacetime. Reference frames may be characterized by an antisymmetric
acceleration tensor, whose components are identified as the inertial
accelerations of the frame (the translational acceleration and the frequency of
rotation of the frame). This tensor is closely related to
gravitoelectromagnetic field quantities. We construct the set of tetrad fields
adapted to observers that are in free fall in the Schwarzschild spacetime, and
show that the gravitational energy-momentum constructed out of this set of
tetrad fields, in the framework of the teleparallel equivalent of general
relatrivity, vanishes. This result is in agreement with the principle of
equivalence, and may be taken as a condition for a viable definition of
gravitational energy.Comment: 19 pages, no figures, accepted by Classical and Quantum Gravit
Linear connections with propagating spin-3 field in gravity
We show that Fronsdal's Lagrangian for a free massless spin-3 gauge field in
Minkowski spacetime is contained in a general Yang--Mills-like Lagrangian of
metric-affine gravity (MAG), the gauge theory of the general affine group in
the presence of a metric. Due to the geometric character of MAG, this can best
be seen by using Vasiliev's frame formalism for higher-spin gauge fields in
which the spin-3 frame is identified with the tracefree nonmetricity one-form
associated with the shear generators of GL(n,R). Furthermore, for specific
gravitational gauge models in the framework of full nonlinear MAG, exact
solutions are constructed, featuring propagating massless and massive spin-3
fields.Comment: References added. Minor corrections and clarifications. To be
published in Phys. Rev.
Electric field in 3D gravity with torsion
It is shown that in static and spherically symmetric configurations of the
system of Maxwell field coupled to 3D gravity with torsion, at least one of the
Maxwell field components has to vanish. Restricting our attention to the
electric sector of the theory, we find an interesting exact solution,
corresponding to the azimuthal electric field. Its geometric structure is to a
large extent influenced by the values of two different central charges,
associated to the asymptotic AdS structure of spacetime.Comment: LATEX, 15 pages, v2: minor correction
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