561 research outputs found
Nonexistence of marginally trapped surfaces and geons in 2+1 gravity
We use existence results for Jang's equation and marginally outer trapped
surfaces (MOTSs) in 2+1 gravity to obtain nonexistence of geons in 2+1 gravity.
In particular, our results show that any 2+1 initial data set, which obeys the
dominant energy condition with cosmological constant \Lambda \geq 0 and which
satisfies a mild asymptotic condition, must have trivial topology. Moreover,
any data set obeying these conditions cannot contain a MOTS. The asymptotic
condition involves a cutoff at a finite boundary at which a null mean convexity
condition is assumed to hold; this null mean convexity condition is satisfied
by all the standard asymptotic boundary conditions. The results presented here
strengthen various aspects of previous related results in the literature. These
results not only have implications for classical 2+1 gravity but also apply to
quantum 2+1 gravity when formulated using Witten's solution space quantization.Comment: v3: Elements from the original two proofs of the main result have
been combined to give a single proof, thereby circumventing an issue with the
second proof associated with potential blow-ups of solutions to Jang's
equation. To appear in Commun. Math. Phy
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
Quantum Geons and Noncommutative Spacetimes
Physical considerations strongly indicate that spacetime at Planck scales is
noncommutative. A popular model for such a spacetime is the Moyal plane. The
Poincar\`e group algebra acts on it with a Drinfel'd-twisted coproduct. But the
latter is not appropriate for more complicated spacetimes such as those
containing the Friedman-Sorkin (topological) geons. They have rich
diffeomorphism groups and in particular mapping class groups, so that the
statistics groups for N identical geons is strikingly different from the
permutation group . We generalise the Drinfel'd twist to (essentially)
generic groups including to finite and discrete ones and use it to modify the
commutative spacetime algebras of geons as well to noncommutative algebras. The
latter support twisted actions of diffeos of geon spacetimes and associated
twisted statistics. The notion of covariant fields for geons is formulated and
their twisted versions are constructed from their untwisted versions.
Non-associative spacetime algebras arise naturally in our analysis. Physical
consequences, such as the violation of Pauli principle, seem to be the outcomes
of such nonassociativity.
The richness of the statistics groups of identical geons comes from the
nontrivial fundamental groups of their spatial slices. As discussed long ago,
extended objects like rings and D-branes also have similar rich fundamental
groups. This work is recalled and its relevance to the present quantum geon
context is pointed out.Comment: 41 page
Enhanced Magnetic Anisotropy of Mn12-acetate
Thin films of the Single Molecule Magnet (Mn12-acetate) have been fabricated
on a Si-substrate by the Dip-and-Dry method, a simple and robust technique.
Atomic force microscopy and X-ray photoelectron spectroscopy characterizations
reveal that homogeneous, thin films of a few molecular layers with smoothness
at the molecular level are deposited. Significant changes in magnetic
properties of Mn12-acetate exposed to the same solvent were observed in
zero-field-cooled and field-cooled magnetization, as well as ac-susceptibility
measurements. The blocking temperature was found to increase to TB > 10 K at
low magnetic fields, indicating an enhanced magnetic anisotropy.Comment: 14 pages, 4 figure
Charge Form Factor and Cluster Structure of Li Nucleus
The charge form factor of Li nucleus is considered on the basis of its
cluster structure. The charge density of Li is presented as a
superposition of two terms. One of them is a folded density and the second one
is a sum of He and the deuteron densities. Using the available
experimental data for He and deuteron charge form factors, a good
agreement of the calculations within the suggested scheme is obtained with the
experimental data for the charge form factor of Li, including those in
the region of large transferred momenta.Comment: 12 pages 5 figure
Fork pausing allows centromere DNA loop formation and kinetochore assembly
De novo kinetochore assembly, but not template-directed assembly, is dependent on COMA, the kinetochore complex engaged in cohesin recruitment. The slowing of replication fork progression by treatment with phleomycin (PHL), hydroxyurea, or deletion of the replication fork protection protein Csm3 can activate de novo kinetochore assembly in COMA mutants. Centromere DNA looping at the site of de novo kinetochore assembly can be detected shortly after exposure to PHL. Using simulations to explore the thermodynamics of DNA loops, we propose that loop formation is disfavored during bidirectional replication fork migration. One function of replication fork stalling upon encounters with DNA damage or other blockades may be to allow time for thermal fluctuations of the DNA chain to explore numerous configurations. Biasing thermodynamics provides a mechanism to facilitate macromolecular assembly, DNA repair, and other nucleic acid transactions at the replication fork. These loop configurations are essential for sister centromere separation and kinetochore assembly in the absence of the COMA complex
Missing values: sparse inverse covariance estimation and an extension to sparse regression
We propose an l1-regularized likelihood method for estimating the inverse
covariance matrix in the high-dimensional multivariate normal model in presence
of missing data. Our method is based on the assumption that the data are
missing at random (MAR) which entails also the completely missing at random
case. The implementation of the method is non-trivial as the observed negative
log-likelihood generally is a complicated and non-convex function. We propose
an efficient EM algorithm for optimization with provable numerical convergence
properties. Furthermore, we extend the methodology to handle missing values in
a sparse regression context. We demonstrate both methods on simulated and real
data.Comment: The final publication is available at http://www.springerlink.co
Jacobi-like bar mode instability of relativistic rotating bodies
We perform some numerical study of the secular triaxial instability of
rigidly rotating homogeneous fluid bodies in general relativity. In the
Newtonian limit, this instability arises at the bifurcation point between the
Maclaurin and Jacobi sequences. It can be driven in astrophysical systems by
viscous dissipation. We locate the onset of instability along several constant
baryon mass sequences of uniformly rotating axisymmetric bodies for compaction
parameter . We find that general relativity weakens the Jacobi
like bar mode instability, but the stabilizing effect is not very strong.
According to our analysis the critical value of the ratio of the kinetic energy
to the absolute value of the gravitational potential energy for compaction parameter as high as 0.275 is only 30% higher than the
Newtonian value. The critical value of the eccentricity depends very weakly on
the degree of relativity and for is only 2% larger than the
Newtonian value at the onset for the secular bar mode instability. We compare
our numerical results with recent analytical investigations based on the
post-Newtonian expansion.Comment: 15 pages, 8 figures, submitted to Phys. Rev.
Tensor-scalar gravity and binary-pulsar experiments
Some recently discovered nonperturbative strong-field effects in
tensor-scalar theories of gravitation are interpreted as a scalar analog of
ferromagnetism: "spontaneous scalarization". This phenomenon leads to very
significant deviations from general relativity in conditions involving strong
gravitational fields, notably binary-pulsar experiments. Contrary to
solar-system experiments, these deviations do not necessarily vanish when the
weak-field scalar coupling tends to zero. We compute the scalar "form factors"
measuring these deviations, and notably a parameter entering the pulsar timing
observable gamma through scalar-field-induced variations of the inertia moment
of the pulsar. An exploratory investigation of the confrontation between
tensor-scalar theories and binary-pulsar experiments shows that nonperturbative
scalar field effects are already very tightly constrained by published data on
three binary-pulsar systems. We contrast the probing power of pulsar
experiments with that of solar-system ones by plotting the regions they exclude
in a generic two-dimensional plane of tensor-scalar theories.Comment: 35 pages, REVTeX 3.0, uses epsf.tex to include 9 Postscript figure
Microscopic description of d-wave superconductivity by Van Hove nesting in the Hubbard model
We devise a computational approach to the Hubbard model that captures the
strong coupling dynamics arising when the Fermi level is at a Van Hove
singularity in the density of states. We rely on an approximate degeneracy
among the many-body states accounting for the main instabilities of the system
(antiferromagnetism, d-wave superconductivity). The Fermi line turns out to be
deformed in a manner consistent with the pinning of the Fermi level to the Van
Hove singularity. For a doping rate , the ground state is
characterized by d-wave symmetry, quasiparticles gapped only at the
saddle-points of the band, and a large peak at zero momentum in the d-wave
pairing correlations.Comment: 4 pages, 2 Postscript figure
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