Constraining dark sector perturbations II: ISW and CMB lensing tomography

Abstract

Any Dark Energy (DE) or Modified Gravity (MG) model that deviates from a cosmological constant requires a consistent treatment of its perturbations, which can be described in terms of an effective entropy perturbation and an anisotropic stress. We have considered a recently proposed generic parameterisation of DE/MG perturbations and compared it to data from the Planck satellite and six galaxy catalogues, including temperature-galaxy (Tg), CMB lensing-galaxy and galaxy-galaxy (gg) correlations. Combining these observables of structure formation with tests of the background expansion allows us to investigate the properties of DE/MG both at the background and the perturbative level. Our constraints on DE/MG are mostly in agreement with the cosmological constant paradigm, while we also find that the constraint on the equation of state w (assumed to be constant) depends on the model assumed for the perturbation evolution. We obtain $w=-0.92_{-0.16}^{+0.20}$ (95% CL; CMB+gg+Tg) in the entropy perturbation scenario; in the anisotropic stress case the result is $w=-0.86_{-0.16}^{+0.17}$. Including the lensing correlations shifts the results towards higher values of w. If we include a prior on the expansion history from recent Baryon Acoustic Oscillations (BAO) measurements, we find that the constraints tighten closely around $w=-1$, making it impossible to measure any DE/MG perturbation evolution parameters. If, however, upcoming observations from surveys like DES, Euclid or LSST show indications for a deviation from a cosmological constant, our formalism will be a useful tool towards model selection in the dark sector.

arXiv comment25 pages, 8 figures; minor update for consistency with version accepted by JCAP (13/01/2015)

References in corpus (85)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2013 results. XVI. Cosmological parameters
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Efficient Computation of CMB anisotropies in closed FRW models
• Modified Gravity and Cosmology
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• The Eighth Data Release of the Sloan Digital Sky Survey: First Data from SDSS-III
• Generalized G-inflation: Inflation with the most general second-order field equations
• From k-essence to generalised Galileons
• Weak Gravitational Lensing of the CMB
• 2MASS Extended Source Catalog: Overview and Algorithms
• Euclid Definition Study Report
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• Cosmic Growth History and Expansion History
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - I : Methods and Application to the Sloan Digital Sky Survey
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Planck 2013 results. XV. CMB power spectra and likelihood
• CMB power spectrum parameter degeneracies in the era of precision cosmology
• Probing the dark energy: methods and strategies
• k-Essence, superluminal propagation, causality and emergent geometry
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Planck 2013 results. XVII. Gravitational lensing by large-scale structure
• Efficient Photometric Selection of Quasars from the Sloan Digital Sky Survey: II. ~1,000,000 Quasars from Data Release Six
• Correlation of CMB with large-scale structure: I. ISW Tomography and Cosmological Implications
• Probing dark energy perturbations: the dark energy equation of state and speed of sound as measured by WMAP
• Distinguishing Modified Gravity from Dark Energy
• Looking for $\Lambda$ with the Rees-Sciama Effect
• Combined analysis of the integrated Sachs-Wolfe effect and cosmological implications
• Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope
• A measurement of gravitational lensing of the microwave background using South Pole Telescope data
• Searching for modified growth patterns with tomographic surveys
• Large Scale Cosmic Microwave Background Anisotropies and Dark Energy
• Crossing the Phantom Divide with Parameterized Post-Friedmann Dark Energy
• Effective Field Theory of Cosmic Acceleration: an implementation in CAMB
• Testing gravity with CAMB and CosmoMC
• Efficient Photometric Selection of Quasars from the Sloan Digital Sky Survey: 100,000 z<3 Quasars from Data Release One
• Is the Dark Matter a Solid?
• Ameliorating Systematic Uncertainties in the Angular Clustering of Galaxies: A Study using SDSS-III
• Current constraints on the cosmic growth history
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• Planck 2013 results. XIX. The integrated Sachs-Wolfe effect
• Observables and unobservables in dark energy cosmologies
• Challenges to the DGP Model from Horizon-Scale Growth and Geometry
• Probing modifications of General Relativity using current cosmological observations
• Parametrized Post-Friedmann Signatures of Acceleration in the CMB
• Improved Primordial Non-Gaussianity Constraints from Measurements of Galaxy Clustering and the Integrated Sachs-Wolfe Effect
• Modelling galaxy clustering at high redshift
• The significance of the integrated Sachs-Wolfe effect revisited
• The Atacama Cosmology Telescope: Cross-Correlation of CMB Lensing and Quasars
• Effective action approach to cosmological perturbations in dark energy and modified gravity
• Towards a fully consistent parameterization of modified gravity
• A Measurement of the Correlation of Galaxy Surveys with CMB Lensing Convergence Maps from the South Pole Telescope
• New constraints on parametrised modified gravity from correlations of the CMB with large scale structure
• Estimating the large-scale angular power spectrum in the presence of systematics: a case study of Sloan Digital Sky Survey quasars
• Hidden Negative Energies in Strongly Accelerated Universes
• Model-independent constraints on the cosmological anisotropic stress
• Consistent perturbations in an imperfect fluid
• Using correlations between CMB lensing and large-scale structure to measure primordial non-Gaussianity
• The Scalar, Vector and Tensor Contributions to CMB anisotropies from Cosmic Defects
• Consistent cosmological modifications to the Einstein equations
• Systematic effects in large-scale angular power spectra of photometric quasars and implications for constraining primordial nongaussianity
• Probing Dark Energy through Scale Dependence
• Effective Field Theory of Dark Energy: a Dynamical Analysis
• Cosmological Perturbations in Elastic Dark Energy Models
• Parameterizing dark sector perturbations via equations of state
• Effects of Dark Energy Perturbations on Cosmological Tests of General Relativity
• Probing Modified Gravity Theories with ISW and CMB Lensing
• Computing model independent perturbations in dark energy and modified gravity
• Massive gravity, the elasticity of space-time and perturbations in the dark sector
• The traces of anisotropic dark energy in light of Planck
• Simple numerical implementation of general dark energy models

Cited by in corpus (12)

• Cosmological Tests of Modified Gravity
• Planck 2015 results. XIV. Dark energy and modified gravity
• CMB lensing tomography with the DES Science Verification galaxies
• Weak lensing by voids in modified lensing potentials
• Constraints on deviations from $\Lambda$CDM within Horndeski gravity
• Gravitational wave constraints on dark sector models
• Distinguishing interacting dark energy from wCDM with CMB, lensing, and baryon acoustic oscillation data
• An extensive investigation of the Generalised Dark Matter model
• Microphysics of Early Dark Energy
• f(R) as a dark energy fluid
• Integrated Cosmological Probes: Extended Analysis
• Combined constraints on deviations of dark energy from an ideal fluid from Euclid and Planck