917 research outputs found
The AdS/CFT Correspondence Conjecture and Topological Censorship
In gr-qc/9902061 it was shown that (n+1)-dimensional asymptotically
anti-de-Sitter spacetimes obeying natural causality conditions exhibit
topological censorship. We use this fact in this paper to derive in arbitrary
dimension relations between the topology of the timelike boundary-at-infinity,
\scri, and that of the spacetime interior to this boundary. We prove as a
simple corollary of topological censorship that any asymptotically anti-de
Sitter spacetime with a disconnected boundary-at-infinity necessarily contains
black hole horizons which screen the boundary components from each other. This
corollary may be viewed as a Lorentzian analog of the Witten and Yau result
hep-th/9910245, but is independent of the scalar curvature of \scri.
Furthermore, the topology of V', the Cauchy surface (as defined for
asymptotically anti-de Sitter spacetime with boundary-at-infinity) for regions
exterior to event horizons, is constrained by that of \scri. In this paper,
we prove a generalization of the homology results in gr-qc/9902061 in arbitrary
dimension, that H_{n-1}(V;Z)=Z^k where V is the closure of V' and k is the
number of boundaries interior to . As a consequence, V
does not contain any wormholes or other compact, non-simply connected
topological structures. Finally, for the case of n=2, we show that these
constraints and the onto homomorphism of the fundamental groups from which they
follow are sufficient to limit the topology of interior of V to either B^2 or
.Comment: Revtex, 20 page
Improved tensor-product expansions for the two-particle density matrix
We present a new density-matrix functional within the recently introduced
framework for tensor-product expansions of the two-particle density matrix. It
performs well both for the homogeneous electron gas as well as atoms. For the
homogeneous electron gas, it performs significantly better than all previous
density-matrix functionals, becoming very accurate for high densities and
outperforming Hartree-Fock at metallic valence electron densities. For isolated
atoms and ions, it is on a par with previous density-matrix functionals and
generalized gradient approximations to density-functional theory. We also
present analytic results for the correlation energy in the low density limit of
the free electron gas for a broad class of such functionals.Comment: 4 pages, 2 figure
Comments on the Boundary Scattering Phase
We present a simple solution to the crossing equation for an open string
worldsheet reflection matrix, with boundaries preserving a SU(1|2)^2 residual
symmetry, which constrains the boundary dressing factor. In addition, we also
propose an analogous crossing equation for the dressing factor where extra
boundary degrees of freedom preserve a SU(2|2)^2 residual symmetry.Comment: 14 pages, 2 figures; v2: affiliation correcte
The extremal limits of the C-metric: Nariai, Bertotti-Robinson and anti-Nariai C-metrics
In two previous papers we have analyzed the C-metric in a background with a
cosmological constant, namely the de Sitter (dS) C-metric, and the anti-de
Sitter (AdS) C-metric, following the work of Kinnersley and Walker for the flat
C-metric. These exact solutions describe a pair of accelerated black holes in
the flat or cosmological constant background, with the acceleration A being
provided by a strut in-between that pushes away the two black holes. In this
paper we analyze the extremal limits of the C-metric in a background with
generic cosmological constant. We follow a procedure first introduced by
Ginsparg and Perry in which the Nariai solution, a spacetime which is the
direct topological product of the 2-dimensional dS and a 2-sphere, is generated
from the four-dimensional dS-Schwarzschild solution by taking an appropriate
limit, where the black hole event horizon approaches the cosmological horizon.
Similarly, one can generate the Bertotti-Robinson metric from the
Reissner-Nordstrom metric by taking the limit of the Cauchy horizon going into
the event horizon of the black hole, as well as the anti-Nariai by taking an
appropriate solution and limit. Using these methods we generate the C-metric
counterparts of the Nariai, Bertotti-Robinson and anti-Nariai solutions, among
others. One expects that the solutions found in this paper are unstable and
decay into a slightly non-extreme black hole pair accelerated by a strut or by
strings. Moreover, the Euclidean version of these solutions mediate the quantum
process of black hole pair creation, that accompanies the decay of the dS and
AdS spaces
Spectropolarimetry of the Deep Impact target comet 9P/Tempel 1 with HiVIS
High resolution spectropolarimetry of the Deep Impact target, comet 9P/
Tempel 1, was performed during the impact event on July 4th, 2005 with the
HiVIS Spectropolarimeter and the AEOS 3.67m telescope on Haleakala, Maui. We
observed atypical polarization spectra that changed significantly in the few
hours after the impact. The polarization of scattered light as a function of
wavelength is very sensitive to the size and composition (complex refractive
index) of the scattering particles as well as the scattering geometry. As
opposed to most observations of cometary dust, which show an increase in the
linear polarization with the wavelength (at least in the visible domain and for
phase angles greater than about 30%, a red polarization spectrum) observations
of 9P/Tempel 1 at a phase angle of 41 degrees beginning 8 minutes after impact
and centered at 6:30UT showed a polarization of 4% at 650 nm falling to 3% at
950 nm. The next observation, centered an hour later showed a polarization of
7% at 650 nm falling to 2% at 950nm. This corresponds to a spectropolarimetric
gradient, or slope, of -0.9% per 1000 Angstroms 40 minutes after impact,
decreasing to a slope of -2.3% per 1000 Angstroms an hour and a half after
impact. This is an atypical blue polarization slope, which became more blue 1
hour after impact. The polarization values of 4% and 7% at 650nm are typical
for comets at this scattering angle, whereas the low polarization of 2% and 3%
at 950nm is not. We compare observations of comet 9P/Tempel 1 to that of a
typical comet, C/2004 Machholz, at a phase angle of 30 degrees which showed a
typical red slope, rising from 2% at 650nm to 3% at 950nm in two different
observations (+1.0 and +0.9% per 1000 Angstroms).Comment: Icarus Deep Impact special issue, accepted Aug 28 200
The Zamolodchikov-Faddeev algebra for open strings attached to giant gravitons
We extend the Zamolodchikov-Faddeev algebra for the superstring sigma model
on , which was formulated by Arutyunov, Frolov and
Zamaklar, to the case of open strings attached to maximal giant gravitons,
which was recently considered by Hofman and Maldacena. We obtain boundary
-matrices which satisfy the standard boundary Yang-Baxter equation.Comment: 22 pages, no figure; added a referenc
Quantum Locality
It is argued that while quantum mechanics contains nonlocal or entangled
states, the instantaneous or nonlocal influences sometimes thought to be
present due to violations of Bell inequalities in fact arise from mistaken
attempts to apply classical concepts and introduce probabilities in a manner
inconsistent with the Hilbert space structure of standard quantum mechanics.
Instead, Einstein locality is a valid quantum principle: objective properties
of individual quantum systems do not change when something is done to another
noninteracting system. There is no reason to suspect any conflict between
quantum theory and special relativity.Comment: Introduction has been revised, references added, minor corrections
elsewhere. To appear in Foundations of Physic
Radio Bursts Associated with Flare and Ejecta in the 13 July 2004 Event
We investigate coronal transients associated with a GOES M6.7 class flare and
a coronal mass ejection (CME) on 13 July 2004. During the rising phase of the
flare, a filament eruption, loop expansion, a Moreton wave, and an ejecta were
observed. An EIT wave was detected later on. The main features in the radio
dynamic spectrum were a frequency-drifting continuum and two type II bursts.
Our analysis shows that if the first type II burst was formed in the low
corona, the burst heights and speed are close to the projected distances and
speed of the Moreton wave (a chromospheric shock wave signature). The
frequency-drifting radio continuum, starting above 1 GHz, was formed almost two
minutes prior to any shock features becoming visible, and a fast-expanding
piston (visible as the continuum) could have launched another shock wave. A
possible scenario is that a flare blast overtook the earlier transient, and
ignited the first type II burst. The second type II burst may have been formed
by the same shock, but only if the shock was propagating at a constant speed.
This interpretation also requires that the shock-producing regions were located
at different parts of the propagating structure, or that the shock was passing
through regions with highly different atmospheric densities. This complex
event, with a multitude of radio features and transients at other wavelengths,
presents evidence for both blast-wave-related and CME-related radio emissions.Comment: 14 pages, 6 figures; Solar Physics Topical Issue, in pres
Some Findings Concerning Requirements in Agile Methodologies
gile methods have appeared as an attractive alternative to conventional methodologies. These methods try to reduce the time to market and, indirectly, the cost of the product through flexible development and deep customer involvement. The processes related to requirements have been extensively studied in literature, in most cases in the frame of conventional methods. However, conclusions of conventional methodologies could not be necessarily valid for Agile; in some issues, conventional and Agile processes are radically different. As recent surveys report, inadequate project requirements is one of the most conflictive issues in agile approaches and better understanding about this is needed. This paper describes some findings concerning requirements activities in a project developed under an agile methodology. The project intended to evolve an existing product and, therefore, some background information was available. The major difficulties encountered were related to non-functional needs and management of requirements dependencies
Pair creation of anti-de Sitter black holes on a cosmic string background
We analyze the quantum process in which a cosmic string breaks in an anti-de
Sitter (AdS) background, and a pair of charged or neutral black holes is
produced at the ends of the strings. The energy to materialize and accelerate
the pair comes from the strings tension. In an AdS background this is the only
study done in the process of production of a pair of correlated black holes
with spherical topology. The acceleration of the produced black holes is
necessarily greater than (|L|/3)^(1/2), where L<0 is the cosmological constant.
Only in this case the virtual pair of black holes can overcome the attractive
background AdS potential well and become real. The instantons that describe
this process are constructed through the analytical continuation of the AdS
C-metric. Then, we explicitly compute the pair creation rate of the process,
and we verify that (as occurs with pair creation in other backgrounds) the pair
production of nonextreme black holes is enhanced relative to the pair creation
of extreme black holes by a factor of exp(Area/4), where Area is the black hole
horizon area. We also conclude that the general behavior of the pair creation
rate with the mass and acceleration of the black holes is similar in the AdS,
flat and de Sitter cases, and our AdS results reduce to the ones of the flat
case when L=0.Comment: 13 pages, 3 figures, ReVTeX
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