751 research outputs found
Construction of G_2-instantons via twisted connected sums
We propose a method to construct G_2-instantons over a compact twisted
connected sum G_2-manifold, applying a gluing result of S\'a Earp and Walpuski
to instantons over a pair of 7-manifolds with a tubular end (see
arXiv:1310.7933). In our example, the moduli spaces of the ingredient
instantons are non-trivial, and their images in the moduli space over the
asymptotic cross-section K3 surface intersect transversely. Such a pair of
asymptotically stable holomorphic bundles is obtained using a twisted version
of the Hartshorne-Serre construction, which can be adapted to produce other
examples. Moreover, their deformation theory and asymptotic behaviour are
explicitly understood, results which may be of independent interest.Comment: 22 pages. Final version to appear in Mathematical Research Letter
Current driven magnetization dynamics in helical spin density waves
A mechanism is proposed for manipulating the magnetic state of a helical spin
density wave using a current. In this paper, we show that a current through a
bulk system with a helical spin density wave induces a spin transfer torque,
giving rise to a rotation of the order parameter.The use of spin transfer
torque to manipulate the magnetization in bulk systems does not suffer from the
obstacles seen for magnetization reversal using interface spin transfer torque
in multilayered systems. We demonstrate the effect by a quantitative
calculation of the current induced magnetization dynamics of Erbium. Finally we
propose a setup for experimental verification.Comment: In the previous version of this paper was a small numerical mistake
made when evaluating equation 3 and 9. The number of digits given in the
calculation of the torque current tensor is reduced to better represent the
accuracy of the calculation. A slightly modified paper have been published in
Phys. Rev. Lett. 96, 256601 (2006) 4 pages 3 figure
Higher order finite difference schemes for the magnetic induction equations
We describe high order accurate and stable finite difference schemes for the
initial-boundary value problem associated with the magnetic induction
equations. These equations model the evolution of a magnetic field due to a
given velocity field. The finite difference schemes are based on Summation by
Parts (SBP) operators for spatial derivatives and a Simultaneous Approximation
Term (SAT) technique for imposing boundary conditions. We present various
numerical experiments that demonstrate both the stability as well as high order
of accuracy of the schemes.Comment: 20 page
Homotopy Theoretic Models of Type Theory
We introduce the notion of a logical model category which is a Quillen model
category satisfying some additional conditions. Those conditions provide enough
expressive power that one can soundly interpret dependent products and sums in
it. On the other hand, those conditions are easy to check and provide a wide
class of models some of which are listed in the paper.Comment: Corrected version of the published articl
Boundary Inflation and the WMAP Data
Inflation in a five-dimensional brane world model with two boundary branes is
studied. We make use of the moduli space approximation whereby the low energy
theory reduces to a four-dimensional biscalar-tensor gravity plus a minimally
coupled scalar field. After a detailed analysis of the inflationary solutions,
we derive the evolution equations of the linear perturbations separating the
adiabatic mode from two entropy modes. We then examine the primordial scalar
and tensor power spectra and show that their tilt depends on the scalar-tensor
coupling constant. Finally, the induced CMB anisotropies are computed and we
present a Monte Carlo Markov Chains exploration of the parameter space using
the first year WMAP data. We find a marginalized probability bound for the
associated Eddington parameter at the end of inflation 1 - gamma < 0.002, at
95% confidence level. This suggests that future CMB data could provide crucial
information helping to distinguish scalar-tensor and standard inflationary
scenarios.Comment: 24 pages, 19 figures, uses RevTex. Qualitative discussions added,
matches published versio
Tachyonic perturbations in AdS orbifolds
We show that scalar as well as vector and tensor metric perturbations in the
Randall-Sundrum II braneworld allow normalizable tachyonic modes, i.e.,
possible instabilities. These instabilities require nonvanishing initial
anisotropic stresses on the brane. We show with a specific example that within
the Randall-Sundrum II model, even though the tachyonic modes are excited, no
instability develops. We argue, however, that in the cosmological context
instabilities might in principle be present. We conjecture that the tachyonic
modes are due to the singularity of the orbifold construction. We illustrate
this with a simple but explicit toy model.Comment: 11 pages, matches published versio
TMCalc - A fast code to derive Teff and [Fe/H] for FGK stars
We present a new direct spectroscopic calibration for a fast estimation of
the stellar metallicity [Fe/H]. These calibrations were computed using a large
sample of 451 solar-type stars for which we have precise spectroscopic
parameters derived from high quality spectra. The new [Fe/H] calibration is
based on weak Fe I lines, which are expected to be less dependent on surface
gravity and microturbulence, and require only a pre-determination of the
effective temperature. This temperature can be obtained using a previously
presented line-ratio calibration. We also present a simple code that uses the
calibrations and procedures presented in these works to obtain both the
effective temperature and the [Fe/H] estimate. The code, written in C, is
freely available for the community and may be used as an extension of the ARES
code. We test these calibrations for 582 independent FGK stars. We show that
the code can be used as a precise and fast indicator of the spectroscopic
temperature and metallicity for dwarf FKG stars with effective temperatures
ranging from 4500 K to 6500 K and with [Fe/H] ranging from -0.8 dex to 0.4 dex.Comment: 10 pages, 8 Figures, published in A&
Analogs of the double-Reissner-Nordstrom solution in magnetostatics and dilaton gravity: mathematical description and some physical properties
In this paper we consider a magnetic analog of the double-Reissner-Nordstrom
solution and construct the corresponding magnetic potential A_\varphi in the
explicit form. The behavior of the resulting solution under the Harrison
transformation then naturally singles out the asymmetric black diholes -
configurations composed of two non-extreme black holes possessing unequal
masses, and charges equal in magnitude but opposite in sign - as its most
general subclass for which equilibrium of the black-hole constituents can be
achieved with the aid of the external magnetic (or electric) field. We also
generalize the double-Reissner-Nordstrom solution to the dilaton gravity with
arbitrary dilaton coupling, yielding as the result the 4-dimensional
double-Gibbons-Maeda spacetime. The study of some physical properties of the
solutions obtained leads, in particular, to very simple formulas for the areas
of the horizons and surface gravities.Comment: 18 pages, 1 figure; title changed, typos corrected; a considerably
extended version which includes the discussion of the magnetostatic case and
the explicit formula for the magnetic potentia
Active gravitational mass and the invariant characterization of Reissner-Nordstrom spacetime
We analyse the concept of active gravitational mass for Reissner-Nordstrom
spacetime in terms of scalar polynomial invariants and the Karlhede
classification. We show that while the Kretschmann scalar does not produce the
expected expression for the active gravitational mass, both scalar polynomial
invariants formed from the Weyl tensor, and the Cartan scalars, do.Comment: 6 pages Latex, to appear in General Relativity and Gravitatio
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