This paper shows that emerging spatial curvature is a generic feature of
relativistic inhomogeneous models of the large-scale universe. This phenomenon
is absent in the Standard Cosmological Model, which has a flat and fixed
spatial curvature (small perturbations are considered in the Standard
Cosmological Model but their global average vanishes, leading to spatial
flatness at all times). This paper shows that with the nonlinear growth of
cosmic structures the global average deviates from zero. The analysis is based
on the {\em silent universes} (a wide class of inhomogeneous cosmological
solutions of the Einstein equations) interwoven into the Styrofoam-type
configuration. The initial conditions are set in the early universe as
perturbations around the $\Lambda$CDM model with $\Omega_m = 0.31$,
$\Omega_\Lambda = 0.69$, and $H_0 = 67.8$ km s$^{-1}$ Mpc$^{-1}$. As the growth
of structures becomes nonlinear, the model deviates from the $\Lambda$CDM
model, and at the present instant if averaged over a domain with mass $M = 3.2
\times 10^{20} M_{\odot}$ and volume $V = (2150\,{\rm Mpc})^3$ (at these scales
the cosmic variance is negligibly small) gives: $\Omega_m^{\cal D} = 0.22$,
$\Omega_\Lambda^{\cal D} = 0.61$, $\Omega_{\cal R}^{\cal D} = 0.15$ (in the
FLRW limit $\Omega_{\cal R}^{\cal D} \to \Omega_k$), and $\langle H
\rangle_{\cal D} = 72.2$ km s$^{-1}$ Mpc$^{-1}$. Given the fact that
low-redshift observations favor higher values of the Hubble constant and lower
values of matter density, compared to the CMB constraints, the emergence of the
spatial curvature in the low-redshift universe could be an obvious solution to
these discrepancies.
+1 Insensitivity of The Distance Ladder Hubble Constant Determination to Cepheid Calibration Modeling Choices.
Recent determination of the Hubble constant via Cepheid-calibrated supernovae
by \citet{riess_2.4_2016} (R16) find $\sim 3\sigma$ tension with inferences
based on cosmic microwave background temperature and polarization measurements
from $Planck$. This tension could be an indication of inadequacies in the
concordance $\Lambda$CDM model. Here we investigate the possibility that the
discrepancy could instead be due to systematic bias or uncertainty in the
Cepheid calibration step of the distance ladder measurement by R16. We consider
variations in total-to-selective extinction of Cepheid flux as a function of
line-of-sight, hidden structure in the period-luminosity relationship, and
potentially different intrinsic color distributions of Cepheids as a function
of host galaxy. Considering all potential sources of error, our final
determination of $H_0 = 73.3 \pm 1.7~{\rm km/s/Mpc}$ (not including systematic
errors from the treatment of geometric distances or Type Ia Supernovae) shows
remarkable robustness and agreement with R16. We conclude systematics from the
modeling of Cepheid photometry, including Cepheid selection criteria, cannot
explain the observed tension between Cepheid-variable and CMB-based inferences
of the Hubble constant. Considering a `model-independent' approach to relating
Cepheids in galaxies with known distances to Cepheids in galaxies hosting a
Type Ia supernova and finding agreement with the R16 result, we conclude no
generalization of the model relating anchor and host Cepheid magnitude
measurements can introduce significant bias in the $H_0$ inference.
Pure massive gravity is strongly coupled at a certain low scale, known as
Lambda_3. I show that the theory can be embedded into another one, with new
light degrees of freedom, to increase the strong scale to a significantly
larger value. Certain universal aspects of the proposed mechanism are
discussed, notably that the coupling of the longitudinal mode to a
stress-tensor is suppressed, thus making the linear theory consistent with the
fifth-force exclusion. An example of the embedding theory studied in detail is
5D AdS massive gravity, with a large cosmological constant. In this example the
4D strong scale can be increased by 19 orders of magnitude. Holographic duality
then suggests that the strong scale of the 4D massive gravity can be increased
by coupling it to a 4D non-local CFT, endowed with a UV cutoff; however, the 5D
classical gravity picture appears to be more tractable.
+1 Primordial black holes from scalar field evolution in the early universe.
Scalar condensates with large expectation values can form in the early
universe, for example, in theories with supersymmetry. The condensate can
undergo fragmentation into Q-balls before decaying. If the Q-balls dominate the
energy density for some period of time, statistical fluctuations in their
number density can lead to formation of primordial black holes (PBH). In the
case of supersymmetry the mass range is limited from above by $10^{23}$g. For a
general charged scalar field, this robust mechanism can generate black holes
over a much broader mass range, including the black holes with masses of 1-100
solar masses, which is relevant for LIGO observations of gravitational waves.
Topological defects can lead to formation of PBH in a similar fashion.
+1 Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles.
The most precise local measurements of $H_0$ rely on observations of Type Ia
supernovae (SNe Ia) coupled with Cepheid distances to SN Ia host galaxies.
Recent results have shown tension comparing $H_0$ to the value inferred from
CMB observations assuming $\Lambda$CDM, making it important to check for
potential systematic uncertainties in either approach. To date, precise local
$H_0$ measurements have used SN Ia distances based on optical photometry, with
corrections for light curve shape and colour. Here, we analyse SNe Ia as
standard candles in the near-infrared (NIR), where intrinsic variations in the
supernovae and extinction by dust are both reduced relative to the optical.
From a combined fit to 9 nearby calibrator SNe with host Cepheid distances from
Riess et al. (2016) and 27 SNe in the Hubble flow, we estimate the absolute
peak $J$ magnitude $M_J = -18.524\;\pm\;0.041$ mag and $H_0 = 72.8\;\pm\;1.6$
(statistical) $\pm$ 2.7 (systematic) km s$^{-1}$ Mpc$^{-1}$. The 2.2\%
statistical uncertainty demonstrates that the NIR provides a compelling avenue
to measuring SN Ia distances, and for our sample the intrinsic (unmodeled) peak
$J$ magnitude scatter is just $\sim$0.10 mag, even without light curve shape or
colour corrections. Our results do not vary significantly with different sample
selection criteria, though photometric calibration in the NIR may be a dominant
systematic uncertainty. Our findings suggest that tension in the competing
$H_0$ distance ladders is likely not a result of supernova systematics that
could be expected to vary between optical and NIR wavelengths, like dust
extinction. We anticipate further improvements in $H_0$ with a larger
calibrator sample of SNe Ia with Cepheid distances, more Hubble flow SNe Ia
with NIR light curves, and better use of the full NIR photometric data set
beyond simply the peak $J$-band magnitude.
+1 Exploring cosmic origins with CORE: gravitational lensing of the CMB.
Lensing of the CMB is now a well-developed probe of large-scale clustering
over a broad range of redshifts. By exploiting the non-Gaussian imprints of
lensing in the polarization of the CMB, the CORE mission can produce a clean
map of the lensing deflections over nearly the full-sky. The number of high-S/N
modes in this map will exceed current CMB lensing maps by a factor of 40, and
the measurement will be sample-variance limited on all scales where linear
theory is valid. Here, we summarise this mission product and discuss the
science that it will enable. For example, the summed mass of neutrinos will be
determined to an accuracy of 17 meV combining CORE lensing and CMB two-point
information with contemporaneous BAO measurements, three times smaller than the
minimum total mass allowed by neutrino oscillations. In the search for B-mode
polarization from primordial gravitational waves with CORE, lens-induced
B-modes will dominate over instrument noise, limiting constraints on the
gravitational wave power spectrum amplitude. With lensing reconstructed by
CORE, one can "delens" the observed polarization internally, reducing the
lensing B-mode power by 60%. This improves to 70% by combining lensing and CIB
measurements from CORE, reducing the error on the gravitational wave amplitude
by 2.5 compared to no delensing (in the null hypothesis). Lensing measurements
from CORE will allow calibration of the halo masses of the 40000 galaxy
clusters that it will find, with constraints dominated by the clean
polarization-based estimators. CORE can accurately remove Galactic emission
from CMB maps with its 19 frequency channels. We present initial findings that
show that residual Galactic foreground contamination will not be a significant
source of bias for lensing power spectrum measurements with CORE. [abridged]
0 Safely smoothing spacetime: backreaction in relativistic cosmological simulations.
A persistent theme in the study of dark energy is the question of whether it
really exists or not. It is often claimed hat we are mis-calculating the
cosmological model by neglecting the effects associated with averaging over
large-scale structures. In the Newtonian approximation this is clear: there is
no effect. Within the full relativistic picture this remains an important open
question however, owing to the complex mathematics involved. We study this
issue using particle numerical simulations which account for all relevant
relativistic effects without any problems from shell crossing. In this context
we show for the first time that the backreaction from structure can differ by
many orders of magnitude depending upon the slicing of spacetime one chooses to
average over. In the worst case, where smoothing is carried out in synchronous
spatial surfaces, the corrections can reach ten percent and more. However, when
smoothing on the constant time hypersurface of the Newtonian gauge backreaction
contributions remain 4-5 orders of magnitude smaller.
The standard theory of weak gravitational lensing relies on the infinitesimal
light beam approximation. In this context, images are distorted by convergence
and shear, the respective sources of which unphysically depend on the
resolution of the distribution of matter---the so-called Ricci-Weyl problem. In
this letter, we propose a strong-lensing-inspired formalism to describe the
lensing of finite beams. We address the Ricci-Weyl problem by showing
explicitly that convergence is caused by the matter enclosed by the beam,
regardless of its distribution. Furthermore, shear turns out to be
systematically enhanced by the finiteness of the beam. This implies, in
particular, that the Kaiser-Squires relation between shear and convergence is
violated, which could have profound consequences on the interpretation of weak
lensing surveys.
0 Was the Universe Actually Radiation Dominated Prior to Nucleosynthesis?.
Maybe not. String theory approaches to both beyond the Standard Model and
Inflationary model building generically predict the existence of scalars
(moduli) that are light compared to the scale of quantum gravity. These moduli
become displaced from their low energy minima in the early universe and lead to
a prolonged matter-dominated epoch prior to BBN. In this paper, we examine
whether non-perturbative effects such as parametric resonance or tachyonic
instabilities can shorten, or even eliminate, the moduli condensate and
matter-dominated epoch. Such effects depend crucially on the strength of the
couplings, and we find that unless the moduli become strongly coupled the
matter-dominated epoch is unavoidable. In particular, we find that in string
and M-theory compactifications where the lightest moduli are near the TeV-scale
that a matter-dominated epoch will persist until the time of Big Bang
Nucleosynthesis.
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