24,344 research outputs found
Linearisation instability of gravity waves?
Gravity waves in irrotational dust spacetimes are characterised by nonzero
magnetic Weyl tensor . In the linearised theory, the divergence of
is set to zero. Recently Lesame et al. [Phys. Rev. D {\bf 53}, 738
(1996)] presented an argument to show that, in the exact nonlinear theory, forces , thus implying a linearisation instability for gravity
waves interacting with matter. However a sign error in the equations
invalidates their conclusion. Bianchi type V spacetimes are shown to include
examples with . An improved covariant formalism is used to
show that in a generic irrotational dust spacetime, the covariant constraint
equations are preserved under evolution. It is shown elsewhere that \mbox{div}
H=0 does not generate further conditions.Comment: 8 pages Revtex; to appear Phys. Rev.
Virtual QCD corrections to Higgs boson plus four parton processes
We report on the calculation of virtual processes contributing to the
production of a Higgs boson and two jets in hadron-hadron collisions. The
coupling of the Higgs boson to gluons, via a virtual loop of top quarks, is
treated using an effective theory, valid in the large top quark mass limit. The
calculation is performed by evaluating one-loop diagrams in the effective
theory. The primary method of calculation is a numerical evaluation of the
virtual amplitudes as a Laurent series in , where is the
dimensionality of space-time. For the cases and we confirm the numerical results by an explicit analytic
calculation.Comment: 21 pages, 2 figures. v2 modifies the text to agree with published
version and corrects typos in the analytical expressions for the four quark
amplitude
Dynamics of Inflationary Universes with Positive Spatial Curvature
If the spatial curvature of the universe is positive, then the curvature term
will always dominate at early enough times in a slow-rolling inflationary
epoch. This enhances inflationary effects and hence puts limits on the possible
number of e-foldings that can have occurred, independently of what happened
before inflation began and in particular without regard for what may have
happened in the Planck era. We use a simple multi-stage model to examine this
limit as a function of the present density parameter and the epoch
when inflation ends.Comment: 9 Pages RevTex4. Revised and update
Consistency of dust solutions with div H=0
One of the necessary covariant conditions for gravitational radiation is the
vanishing of the divergence of the magnetic Weyl tensor H_{ab}, while H_{ab}
itself is nonzero. We complete a recent analysis by showing that in
irrotational dust spacetimes, the condition div H=0 evolves consistently in the
exact nonlinear theory.Comment: 3 pages Revte
Irrotational dust with Div H=0
For irrotational dust the shear tensor is consistently diagonalizable with
its covariant time derivative: , if
and only if the divergence of the magnetic part of the Weyl tensor vanishes:
. We show here that in that case, the consistency of the Ricci
constraints requires that the magnetic part of the Weyl tensor itself vanishes:
.Comment: 19 pages. Latex. Also avaliable at
http://shiva.mth.uct.ac.za/preprints/text/lesame2.te
Exact non-equilibrium solutions of the Einstein-Boltzmann equations. II
We find exact solutions of the Einstein-Boltzmann equations with relaxational
collision term in FRW and Bianchi I spacetimes. The kinematic and thermodynamic
properties of the solutions are investigated. We give an exact expression for
the bulk viscous pressure of an FRW distribution that relaxes towards
collision-dominated equilibrium. If the relaxation is toward collision-free
equilibrium, the bulk viscosity vanishes - but there is still entropy
production. The Bianchi I solutions have zero heat flux and bulk viscosity, but
nonzero shear viscosity. The solutions are used to construct a realisation of
the Weyl Curvature Hypothesis.Comment: 16 pages LaTex, CQG documentstyle (ioplppt
Luminosity Density of Galaxies and Cosmic Star Formation Rate from Lambda-CDM Hydrodynamical Simulations
We compute the cosmic star formation rate (SFR) and the rest-frame comoving
luminosity density in various pass-bands as a function of redshift using
large-scale \Lambda-CDM hydrodynamical simulations with the aim of
understanding their behavior as a function of redshift. To calculate the
luminosity density of galaxies, we use an updated isochrone synthesis model
which takes metallicity variations into account. The computed SFR and the
UV-luminosity density have a steep rise from z=0 to 1, a moderate plateau
between z=1 - 3, and a gradual decrease beyond z=3. The raw calculated results
are significantly above the observed luminosity density, which can be explained
either by dust extinction or the possibly inappropriate input parameters of the
simulation. We model the dust extinction by introducing a parameter f; the
fraction of the total stellar luminosity (not galaxy population) that is
heavily obscured and thus only appears in the far-infrared to sub-millimeter
wavelength range. When we correct our input parameters, and apply dust
extinction with f=0.65, the resulting luminosity density fits various
observations reasonably well, including the present stellar mass density, the
local B-band galaxy luminosity density, and the FIR-to-submm extragalactic
background. Our result is consistent with the picture that \sim 2/3 of the
total stellar emission is heavily obscured by dust and observed only in the
FIR. The rest of the emission is only moderately obscured which can be observed
in the optical to near-IR wavelength range. We also argue that the steep
falloff of the SFR from z=1 to 0 is partly due to the shock-heating of the
universe at late times, which produces gas which is too hot to easily condense
into star-forming regions.Comment: 25 pages, 6 figures. Accepted version in ApJ. Substantially revised
from the previous version. More emphasis on the comparison with various
observations and the hidden star formation by dust extinctio
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