1,608 research outputs found
Lensing and high-z supernova surveys
Gravitational lensing causes the distribution of observed brightnesses of
standard candles at a given redshift to be highly non-gaussian. The
distribution is strongly, and asymmetrically, peaked at a value less than the
expected value in a homogeneous Robertson-Walker universe. Therefore, given any
small sample of observations in an inhomogeneous universe, the most likely
observed luminosity is at flux values less than the Robertson-Walker value.
This paper explores the impact of this systematic error due to lensing upon
surveys predicated on measuring standard candle brightnesses. We re-analyze
recent results from the high-z supernova team (Riess et al. 1998), both when
most of the matter in the universe is in the form of compact objects
(represented by the empty-beam expression, corresponding to the maximal case of
lensing), and when the matter is continuously distributed in galaxies. We find
that the best-fit model remains unchanged (at Omega_m=0, Omega_Lambda=0.45),
but the confidence contours change size and shape, becoming larger (and thus
allowing a broader range of parameter space) and dropping towards higher values
of matter density, Omega_m (or correspondingly, lower values of the
cosmological constant, Omega_Lambda). These effects are slight when the matter
is continuously distributed. However, the effects become considerably more
important if most of the matter is in compact objects. For example, neglecting
lensing, the Omega_m=0.5, Omega_Lambda=0.5 model is more than 2 sigma away from
the best fit. In the empty-beam analysis, this cosmology is at 1 sigma.Comment: 11 pages, 3 ps figures. uses aaspp4.sty. accepted to ApJ Letters.
includes analysis of lensing due to matter continuously distributed in
galaxie
On the structure of the BBGKY hierarchy for a Boltzmann gas
Structure of BBGKY hierarchy for Boltzmann gas and particle distribution
Cosmology from supernova magnification maps
High-z Type Ia supernovae are expected to be gravitationally lensed by the
foreground distribution of large-scale structure. The resulting magnification
of supernovae is statistically measurable, and the angular correlation of the
magnification pattern directly probes the integrated mass density along the
line of sight. Measurements of cosmic magnification of supernovae therefore
complements galaxy shear measurements in providing a direct measure of
clustering of the dark matter. As the number of supernovae is typically much
smaller than the number of sheared galaxies, the two-point correlation function
of lensed Type Ia supernovae suffers from significantly increased shot noise.
Neverthless, we find that the magnification map of a large sample of
supernovae, such as that expected from next generation dedicated searches, will
be easily measurable and provide an important cosmological tool. For example, a
search over 20 sq. deg. over five years leading to a sample of ~ 10,000
supernovae would measure the angular power spectrum of cosmic magnification
with a cumulative signal-to-noise ratio of ~20. This detection can be further
improved once the supernova distance measurements are cross-correlated with
measurements of the foreground galaxy distribution. The magnification maps made
using supernovae can be used for important cross-checks with traditional
lensing shear statistics obtained in the same fields, as well as help to
control systematics. We discuss two applications of supernova magnification
maps: the breaking of the mass-sheet degeneracy when estimating masses of
shear-detected clusters, and constraining the second-order corrections to weak
lensing observables.Comment: 4 pages, 2 figures, ApJL submitted; "Signal" discussed here is the
extra covariance in astro-ph/050958
Problems with Pencils: Lensing Covariance of Supernova Distance Measurements
While luminosity distances from Type Ia supernovae (SNe) provide a powerful
probe of cosmological parameters, the accuracy with which these distances can
be measured is limited by cosmic magnification due to gravitational lensing by
the intervening large-scale structure. Spatial clustering of foreground mass
fluctuations leads to correlated errors in distance estimates from SNe. By
including the full covariance matrix of supernova distance measurements, we
show that a future survey covering more than a few square degrees on the sky,
and assuming a total of ~2000 SNe, will be largely unaffected by covariance
noise. ``Pencil beam'' surveys with small fields of view, however, will be
prone to the lensing covariance, leading to potentially significant
degradations in cosmological parameter estimates. For a survey with 30 arcmin
mean separation between SNe, lensing covariance leads to a ~45% increase in the
expected errors in dark energy parameters compared to fully neglecting lensing,
and a ~20% increase compared to including just the lensing variance. Given that
the lensing covariance is cosmology dependent and cannot be mapped out
sufficiently accurately with direct weak lensing observations, surveys with
small mean SN separation must incorporate the effects of lensing covariance,
including its dependence on the cosmological parameters.Comment: 4 pages, 2 figures, PRL submitted; "Noise" discussed here is the
"signal" in astro-ph/050957
Lensing and Supernovae: Quantifying The Bias on the Dark Energy Equation of State
The gravitational magnification and demagnification of Type Ia supernovae
(SNe) modify their positions on the Hubble diagram, shifting the distance
estimates from the underlying luminosity-distance relation. This can introduce
a systematic uncertainty in the dark energy equation of state (EOS) estimated
from SNe, although this systematic is expected to average away for sufficiently
large data sets. Using mock SN samples over the redshift range
we quantify the lensing bias. We find that the bias on the dark energy EOS is
less than half a percent for large datasets ( 2,000 SNe). However, if
highly magnified events (SNe deviating by more than 2.5) are
systematically removed from the analysis, the bias increases to 0.8%.
Given that the EOS parameters measured from such a sample have a 1
uncertainty of 10%, the systematic bias related to lensing in SN data out to can be safely ignored in future cosmological measurements.Comment: 5 pages, 4 figures; one figure and references added; minor
modifications to text; reflects version accepted for publication in Ap
Multiple imaging by gravitational waves
Gravitational waves act like lenses for the light propagating through them.
This phenomenon is described using the vector formalism employed for ordinary
gravitational lenses, which was proved to be applicable also to a
non-stationary spacetime, with the appropriate modifications. In order to have
multiple imaging, an approximate condition analogous to that for ordinary
gravitational lenses must be satisfied. Certain astrophysical sources of
gravitational waves satisfy this condition, while the gravitational wave
background, on average, does not. Multiple imaging by gravitational waves is,
in principle, possible, but the probability of observing such a phenomenon is
extremely low.Comment: 23 pages, LaTeX, no figures, to appear in Int. J. Mod. Phys.
Dynamics and constraints of the Unified Dark Matter flat cosmologies
We study the dynamics of the scalar field FLRW flat cosmological models
within the framework of the Unified Dark Matter (UDM) scenario. In this model
we find that the main cosmological functions such as the scale factor of the
Universe, the scalar field, the Hubble flow and the equation of state parameter
are defined in terms of hyperbolic functions. These analytical solutions can
accommodate an accelerated expansion, equivalent to either the dark energy or
the standard models. Performing a joint likelihood analysis of the
recent supernovae type Ia data and the Baryonic Acoustic Oscillations traced by
the SDSS galaxies, we place tight constraints on the main cosmological
parameters of the UDM cosmological scenario. Finally, we compare the UDM
scenario with various dark energy models namely cosmology, parametric
dark energy model and variable Chaplygin gas. We find that the UDM scalar field
model provides a large and small scale dynamics which are in fair agreement
with the predictions by the above dark energy models although there are some
differences especially at high redshifts.Comment: 11 pages, 7 figures, published in Physical Review D, 78, 083509,
(2008
Cross-correlation Weak Lensing of SDSS galaxy Clusters II: Cluster Density Profiles and the Mass--Richness Relation
We interpret and model the statistical weak lensing measurements around
130,000 groups and clusters of galaxies in the Sloan Digital Sky Survey
presented by Sheldon et al. 2007 (Paper I). We present non-parametric
inversions of the 2D shear profiles to the mean 3D cluster density and mass
profiles in bins of both optical richness and cluster i-band luminosity. We
correct the inferred 3D profiles for systematic effects, including non-linear
shear and the fact that cluster halos are not all precisely centered on their
brightest galaxies. We also model the measured cluster shear profile as a sum
of contributions from the brightest central galaxy, the cluster dark matter
halo, and neighboring halos. We infer the relations between mean cluster virial
mass and optical richness and luminosity over two orders of magnitude in
cluster mass; the virial mass at fixed richness or luminosity is determined
with a precision of 13% including both statistical and systematic errors. We
also constrain the halo concentration parameter and halo bias as a function of
cluster mass; both are in good agreement with predictions of LCDM models. The
methods employed here will be applicable to deeper, wide-area optical surveys
that aim to constrain the nature of the dark energy, such as the Dark Energy
Survey, the Large Synoptic Survey Telescope and space-based surveys
The Projected Three-point Correlation Function: Theory and Observations
We report results for the angular three-point galaxy correlation function in
the APM survey and compare them with theoretical expectations. For the first
time, these measurements extend to sufficiently large scales to probe the
weakly non-linear regime. On large scales, the results are in good agreement
with the predictions of non-linear cosmological perturbation theory, for a
model with initially Gaussian fluctuations and linear power spectrum
consistent with that inferred from the APM survey. These results reinforce the
conclusion that large-scale structure is driven by non-linear gravitational
instability and that APM galaxies are relatively unbiased tracers of the mass
on large scales; they also provide stringent constraints upon models with
non-Gaussian initial conditions and strongly exclude the standard cold dark
matter model.Comment: 10 pages, latex, 2 figures, submited to ApJ Le
Charged Vacuum Bubble Stability
A type of scenario is considered where electrically charged vacuum bubbles,
formed from degenerate or nearly degenerate vacuua separated by a thin domain
wall, are cosmologically produced due to the breaking of a discrete symmetry,
with the bubble charge arising from fermions residing within the domain wall.
Stability issues associated with wall tension, fermion gas, and Coulombic
effects for such configurations are examined. The stability of a bubble depends
upon parameters such as the symmetry breaking scale and the fermion coupling. A
dominance of either the Fermi gas or the Coulomb contribution may be realized
under certain conditions, depending upon parameter values.Comment: 16 pages,revtex; accepted for publication in Phys.Rev.
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