1,994 research outputs found
Radion stabilization from the vacuum on flat extra dimensions
Volume stabilization in models with flat extra dimension could follow from
vacuum energy residing in the bulk when translational invariance is
spontaneously broken. We study a simple toy model that exemplifies this
mechanism which considers a massive scalar field with non trivial boundary
conditions at the end points of the compact space, and includes contributions
from brane and bulk cosmological constants. We perform our analysis in the
conformal frame where the radion field, associated with volume variations, is
defined, and present a general strategy for building stabilization potentials
out of those ingredients. We also provide working examples for the interval and
the orbifold configuration.Comment: Comments and clarifications added throughout the text. Typos
corrected and references added. Final version, 27 pages, five figures
include
Inflating branes inside abelian strings
We study a 6-dimensional brane world model with an abelian string residing in
the two extra dimensions. We study both static as well as inflating branes and
find analytic solutions for the case of trivial matter fields in the bulk. Next
to singular space-times, we also find solutions which are regular including
cigar-like universes as well as solutions with periodic metric functions. These
latter solutions arise if in a singular space-time a static brane is replaced
by an inflating brane. We determine the pattern of generic solutions for
positive, negative and zero bulk cosmological constant.Comment: 14 Latex pages, 11 postscript figures; references added, discussion
extended; reference adde
Topological Properties from Einstein's Equations?
In this work we propose a new procedure for to extract global information of
a space-time. We considered a space-time immersed in a higher dimensional space
and we formulate the equations of Einstein through of the Frobenius conditions
to immersion. Through of an algorithm and the implementation into algebraic
computing system we calculate normal vectors from the immersion to find out the
second fundamental form. We make a application for space-time with spherical
symmetry and static. We solve the equations of Einstein to the vacuum and we
obtain space-times with different topologies.Comment: 7 pages, accepted for publication in Int. J. Mod. Phys.
Existence and Stability of Non-Trivial Scalar Field Configurations in Orbifolded Extra Dimensions
We consider the existence and stability of static configurations of a scalar
field in a five dimensional spacetime in which the extra spatial dimension is
compactified on an orbifold. For a wide class of potentials with
multiple minima there exist a finite number of such configurations, with total
number depending on the size of the orbifold interval. However, a
Sturm-Liouville stability analysis demonstrates that all such configurations
with nodes in the interval are unstable. Nodeless static solutions, of which
there may be more than one for a given potential, are far more interesting, and
we present and prove a powerful general criterion that allows a simple
determination of which of these nodeless solutions are stable. We demonstrate
our general results by specializing to a number of specific examples, one of
which may be analyzed entirely analytically.Comment: 23 pages, 7 figures, references added, factor of two corrected in
kink energy definition, submitted to PR
Boosted Top Quark Signals for Heavy Vector Boson Excitations in a Universal Extra Dimension Model
In view of the fact that the Kaluza-Klein (KK) modes in a model with
a Universal Extra Dimension (UED), could mimic supersymmetry signatures at the
LHC, it is necessary to look for the KK modes, which have no analogues
in supersymmetry. We discuss the possibility of searching for heavy
vector boson resonances -- especially the -- through their decays to a
highly-boosted top quark-antiquark pair using recently-developed top-jet
tagging techniques in the hadronic channel. It is shown that signals
from the gluon resonance are as efficient a discovery mode at the LHC
as dilepton channels from the and resonances.Comment: 22 pages, 8 embedded figure
Deformed vortices in (4+1)-dimensional Einstein-Yang-Mills theory
We study vortex-type solutions in a (4+1)-dimensional
Einstein-Yang-Mills-SU(2) model. Assuming all fields to be independent on the
extra coordinate, these solutions correspond in a four dimensional picture to
axially symmetric multimonopoles, respectively monopole-antimonopole solutions.
By boosting the five dimensional purely magnetic solutions we find new
configurations which in four dimensions represents rotating regular nonabelian
solutions with an additional electric charge.Comment: 11 pages, including 5 eps files; reference added, discussion
extended; typos correcte
Kaluza-Klein dimensional reduction and Gauss-Codazzi-Ricci equations
In this paper we imitate the traditional method which is used customarily in
the General Relativity and some mathematical literatures to derive the
Gauss-Codazzi-Ricci equations for dimensional reduction. It would be more
distinct concerning geometric meaning than the vielbein method. Especially, if
the lower dimensional metric is independent of reduced dimensions the
counterpart of the symmetric extrinsic curvature is proportional to the
antisymmetric Kaluza-Klein gauge field strength. For isometry group of internal
space, the SO(n) symmetry and SU(n) symmetry are discussed. And the
Kaluza-Klein instanton is also enquired.Comment: 15 page
Phase Synchronization in Railway Timetables
Timetable construction belongs to the most important optimization problems in
public transport. Finding optimal or near-optimal timetables under the
subsidiary conditions of minimizing travel times and other criteria is a
targeted contribution to the functioning of public transport. In addition to
efficiency (given, e.g., by minimal average travel times), a significant
feature of a timetable is its robustness against delay propagation. Here we
study the balance of efficiency and robustness in long-distance railway
timetables (in particular the current long-distance railway timetable in
Germany) from the perspective of synchronization, exploiting the fact that a
major part of the trains run nearly periodically. We find that synchronization
is highest at intermediate-sized stations. We argue that this synchronization
perspective opens a new avenue towards an understanding of railway timetables
by representing them as spatio-temporal phase patterns. Robustness and
efficiency can then be viewed as properties of this phase pattern
The fate of the zero mode of the five-dimensional kink in the presence of gravity
We investigate what becomes of the translational zero-mode of a
five-dimensional domain wall in the presence of gravity, studying the scalar
perturbations of a thick gravitating domain wall with AdS asymptotics and a
well-defined zero-gravity limit. Our analysis reveals the presence of a wide
resonance which can be seen as a remnant of the translational zero-mode present
in the domain wall in the absence of gravity and which ensures a continuous
change of the physical quantities (such as e.g. static potential between
sources) when the Planck mass is sent to infinity. Provided that the thickness
of the wall is much smaller than the AdS radius of the space-time, the
parameters of this resonance do not depend on details of the domain wall's
structure, but solely on the geometry of the space-time.Comment: 29 pages, 4 figures; v2: 2 machine-generated typos in the
introduction correcte
Spherically symmetric Yang-Mills solutions in a (4+n)- dimensional space-time
We consider the Einstein-Yang-Mills Lagrangian in a (4+n)-dimensional
space-time. Assuming the matter and metric fields to be independent of the n
extra coordinates, a spherical symmetric Ansatz for the fields leads to a set
of coupled ordinary differential equations. We find that for n > 1 only
solutions with either one non-zero Higgs field or with all Higgs fields
constant exist. We construct the analytic solutions which fulfill this
conditions for arbitrary n, namely the Einstein-Maxwell-dilaton solutions. We
also present generic solutions of the effective 4-dimensional
Einstein-Yang-Mills-Higgs-dilaton model, which possesses n Higgs triplets
coupled in a specific way to n independent dilaton fields. These solutions are
the abelian Einstein-Maxwell- dilaton solutions and analytic non-abelian
solutions, which have diverging Higgs fields. In addition, we construct
numerically asymptotically flat and finite energy solutions for n=2.Comment: 15 Latex pages, 4 eps figures; v2: discussion of results revisite
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