Keywords

We use an alternative interpretation of quantum mechanics, based on the Bohmian trajectory approach, and show that quantum effects can be included in the classical equation of motion via a conformal transformation on the background metric. We apply this method to the Robertson–Walker metric to derive a modified version of Friedmann's equations for a universe consisting of scalar, spin-zero, massive particles. These modified equations include additional terms that result from the nonlocal nature of matter and appear as an acceleration in the expansion of the universe. We see that the same effect may also be present in the case of an inhomogeneous expansion.

In order to place constraints on cosmology through optical surveys of galaxy clusters, one must first understand the properties of those clusters. To this end, we introduce the Mass Analysis Tool for Chandra (MATCha), a pipeline that uses a parallellized algorithm to analyze archival Chandra data. MATCha simultaneously calculates X-ray temperatures and luminosities and performs centering measurements for hundreds of potential galaxy clusters using archival X-ray exposures. We run MATCha on the redMaPPer SDSS DR8 cluster catalog and use MATCha's output X-ray temperatures and luminosities to analyze the galaxy cluster temperature–richness, luminosity–richness, luminosity–temperature, and temperature–luminosity scaling relations. We detect 447 clusters and determine 246 r₂₅₀₀ temperatures across all redshifts. Within 0.1 < z < 0.35, we find that r₂₅₀₀ T_X scales with optical richness (λ) as $\mathrm{ln}\left(\tfrac{{k}_{B}{T}_{{\rm{X}}}}{1.0\,\mathrm{keV}}\right)=(0.52\pm 0.05)\mathrm{ln}\left(\tfrac{\lambda }{70}\right)+(1.85\pm 0.03)$ with an intrinsic scatter of $0.27\pm 0.02$ ($1\sigma$). We investigate the distribution of offsets between the X-ray center and redMaPPer center within 0.1 < z < 0.35, finding that 68%.3 ± 6.5% of clusters are well-centered. However, we find a broad tail of large offsets in this distribution, and we explore some of the causes of redMaPPer miscentering.

We show that derivation of Friedmann's equations from the Einstein–Hilbert action, paying attention to the requirements of isotropy and homogeneity during the variation, leads to a different interpretation of pressure than what is typically adopted. Our derivation follows if we assume that the unapproximated metric and Einstein tensor have convergent perturbation series representations on a sufficiently large Robertson–Walker coordinate patch. We find the source necessarily averages all pressures, everywhere, including the interiors of compact objects. We demonstrate that our considerations apply (on appropriately restricted spacetime domains) to the Kerr solution, the Schwarzschild constant-density sphere, and the static de-Sitter sphere. From conservation of stress–energy, it follows that material contributing to the averaged pressure must shift locally in energy. We show that these cosmological energy shifts are entirely negligible for non-relativistic material. In relativistic material, however, the effect can be significant. We comment on the implications of this study for the dark energy problem.

We develop an improved Alcock–Paczynski (AP) test method that uses the redshift-space two-point correlation function (2pCF) of galaxies. Cosmological constraints can be obtained by examining the redshift dependence of the normalized 2pCF, which should not change apart from the expected small nonlinear evolution. An incorrect choice of cosmology used to convert redshift to comoving distance will manifest itself as redshift-dependent 2pCF. Our method decomposes the redshift difference of the two-dimensional correlation function into the Legendre polynomials whose amplitudes are modeled by radial fitting functions. Our likelihood analysis with this 2D fitting scheme tightens the constraints on Ω_m and w by ∼40% compared to the method of Li et al. that uses one-dimensional angular dependence only. We also find that the correction for the nonlinear evolution in the 2pCF has a non-negligible cosmology dependence, which has been neglected in previous similar studies by Li et al. With an accurate accounting for the nonlinear systematics and use of full two-dimensional shape information of the 2pCF down to scales as small as 5 h⁻¹ Mpc it is expected that the AP test with redshift-space galaxy clustering anisotropy can be a powerful method to constraining the expansion history of the universe.

Measurements of the dark energy equation-of-state parameter, w, have been limited by uncertainty in the selection effects and photometric calibration of z < 0.1 Type Ia supernovae (SNe Ia). The Foundation Supernova Survey is designed to lower these uncertainties by creating a new sample of z < 0.1 SNe Ia observed on the Pan-STARRS system. Here we combine the Foundation sample with SNe from the Pan-STARRS Medium Deep Survey and measure cosmological parameters with 1338 SNe from a single telescope and a single, well-calibrated photometric system. For the first time, both the low-z and high-z data are predominantly discovered by surveys that do not target preselected galaxies, reducing selection bias uncertainties. The z > 0.1 data include 875 SNe without spectroscopic classifications, and we show that we can robustly marginalize over CC SN contamination. We measure Foundation Hubble residuals to be fainter than the preexisting low-z Hubble residuals by 0.046 ± 0.027 mag (stat + sys). By combining the SN Ia data with cosmic microwave background constraints, we find w = −0.938 ± 0.053, consistent with ΛCDM. With 463 spectroscopically classified SNe Ia alone, we measure w = −0.933 ± 0.061. Using the more homogeneous and better-characterized Foundation sample gives a 55% reduction in the systematic uncertainty attributed to SN Ia sample selection biases. Although use of just a single photometric system at low and high redshift increases the impact of photometric calibration uncertainties in this analysis, previous low-z samples may have correlated calibration uncertainties that were neglected in past studies. The full Foundation sample will observe up to 800 SNe to anchor the LSST and WFIRST Hubble diagrams.

The tomographic Alcock–Paczynski (AP) method can result in tight cosmological constraints by using small and intermediate clustering scales of the large-scale structure of the galaxy distribution. By focusing on the redshift dependence, the AP distortion can be distinguished from the distortions produced by the redshift space distortions. In this work, we combine the tomographic AP method with other recent observational data sets of SN Ia+BAO+CMB+H₀ to reconstruct the dark energy equation-of-state w in a nonparametric form. The result favors a dynamical DE at z ≲ 1, and shows a mild deviation (≲2σ) from w = −1 at z = 0.5–0.7. We find the addition of the AP method improves the low-redshift (z ≲ 0.7) constraint by ∼50%.

The Physics of the Accelerating Universe (PAU) Survey goal is to obtain photometric redshifts (photo-z) and spectral energy distributions (SEDs) of astronomical objects with a resolution roughly one order of magnitude better than current broadband (BB) photometric surveys. To accomplish this, a new large field-of-view (FoV) camera (PAUCam) has been designed, built, and commissioned and is now operated at the William Herschel Telescope (WHT). With the current WHT prime focus corrector, the camera covers an ∼1° diameter FoV, of which only the inner ∼40' diameter is unvignetted. The focal plane consists of a mosaic of 18 2k × 4k Hamamatsu fully depleted CCDs, with high quantum efficiency up to 1 μm in wavelength. To maximize the detector coverage within the FoV, filters are placed in front of the CCDs inside the camera cryostat (made out of carbon fiber) using a challenging movable tray system. The camera uses a set of 40 narrowband filters ranging from ∼4500 to ∼8500 Å complemented with six standard BB filters, ugrizY. The PAU Survey aims to cover roughly 100 deg² over fields with existing deep photometry and galaxy shapes to obtain accurate photometric redshifts for galaxies down to i_AB ∼ 22.5, also detecting galaxies down to i_AB ∼ 24 with less precision in redshift. With this data set, we will be able to measure intrinsic alignments and galaxy clustering and perform galaxy evolution studies in a new range of densities and redshifts. Here we describe the PAU camera, its first commissioning results, and its performance.

In order for the Wide-Field Infrared Survey Telescope (WFIRST) and other stage IV dark energy experiments (e.g., Large Synoptic Survey Telescope, LSST; and Euclid) to infer cosmological parameters not limited by systematic errors, accurate redshift measurements are needed. This accuracy can be met by using spectroscopic subsamples to calibrate the photometric redshifts for the full sample. In this work, we find the minimal number of spectra required for the WFIRST weak-lensing redshift calibration by employing the Self-Organizing Map (SOM) spectroscopic sampling technique. We use galaxies from the Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey (CANDELS) to build the LSST+WFIRST lensing analog sample of ∼36,000 objects and to train the LSST+WFIRST SOM. We find that 26% of the WFIRST lensing sample consists of sources fainter than the Euclid depth in the optical, 91% of which live in color cells already occupied by brighter galaxies. We demonstrate the similarity between faint and bright galaxies as well as the feasibility of redshift measurements at different brightness levels. Our results suggest that the spectroscopic sample acquired for calibration to the Euclid depth is sufficient for calibrating the majority of the WFIRST color space. For the spectroscopic sample to fully represent the synthetic color space of WFIRST, we recommend obtaining additional spectroscopy of ∼0.2–1.2k new sources in cells occupied by mostly faint galaxies. We argue that either the small area of the CANDELS fields and the small overall sample size or the large photometric errors might be the reason for no/fewer bright galaxies mapped to these cells. Acquiring the spectra of these sources will confirm the above findings and will enable the comprehensive calibration of the WFIRST color–redshift relation.

The cosmic spatial curvature parameter Ω_k is constrained, primarily by cosmic microwave background data, to be very small. Observations of the cosmic distance ladder and the large-scale structure can provide independent checks of the cosmic flatness. Such late-universe constraints on Ω_k, however, are sensitive to the assumptions of the nature of dark energy. For minimally coupled scalar-field models of dark energy, the equation of state w has nontrivial dependence on the cosmic spatial curvature Ω_k. Such dependence has not been taken into account in previous studies of future observational projects. In this paper we use the w parameterization proposed by Miao & Huang, where the dependence of w on Ω_k is encoded, and perform a Fisher forecast on mock data of three benchmark projects: a Wide Field InfraRed Survey Telescope–like SNe Ia survey, a Euclid-like spectroscopic redshift survey, and a Large Synoptic Survey Telescope–like photometric redshift survey. We find that the correlation between Ω_k and w is primarily determined by the data rather than by the theoretical prior. We thus validate the standard approaches of treating Ω_k and w as independent quantities.

We propose a new method for probing the time variation of the effective Newton's constant G_eff, based on the optimal redshift weighting scheme, and demonstrate the efficacy using the DESI galaxy spectroscopic survey. We find that with the optimal redshift weights, the evolution of ${G}_{\mathrm{eff}}(z)$ can be significantly better measured: the uncertainty of ${G}_{\mathrm{eff}}(z)$ can be reduced by a factor of 2.2 ∼ 12.8 using the DESI Bright Galaxy Survey sample at z ≲ 0.45, and by a factor of 1.3 ∼ 4.4 using the DESI Emission Line Galaxies sample covering 0.65 ≲ z ≲ 1.65.