Theoretical Priors On Modified Growth Parametrisations

Abstract

Next generation surveys will observe the large-scale structure of the Universe with unprecedented accuracy. This will enable us to test the relationships between matter over-densities, the curvature perturbation and the Newtonian potential. Any large-distance modification of gravity or exotic nature of dark energy modifies these relationships as compared to those predicted in the standard smooth dark energy model based on General Relativity. In linear theory of structure growth such modifications are often parameterised by virtue of two functions of space and time that enter the relation of the curvature perturbation to, first, the matter over-density, and second, the Newtonian potential. We investigate the predictions for these functions in Brans-Dicke theory, clustering dark energy models and interacting dark energy models. We find that each theory has a distinct path in the parameter space of modified growth. Understanding these theoretical priors on the parameterisations of modified growth is essential to reveal the nature of cosmic acceleration with the help of upcoming observations of structure formations.

10 pages, 5 figures

References in corpus (30)

• A Parameterized Post-Friedmann Framework for Modified Gravity
• Measuring the dark side (with weak lensing)
• A discriminating probe of gravity at cosmological scales
• Large-scale instability in interacting dark energy and dark matter fluids
• Large Scale Structure as a Probe of Gravitational Slip
• Distinguishing Modified Gravity from Dark Energy
• Dynamics of interacting dark energy
• Searching for modified growth patterns with tomographic surveys
• Observational Tests of Modified Gravity
• On the Growth of Perturbations as a Test of Dark Energy
• The acceleration of the universe and the physics behind it
• On the growth of linear perturbations
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• Ghosts in the self-accelerating universe
• Constraints on a New Post-General Relativity Cosmological Parameter
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• The Growth of Structure in Interacting Dark Energy Models
• Parametrized Post-Friedmann Signatures of Acceleration in the CMB
• Observational constraints on the linear fluctuation growth rate
• Velocities as a probe of dark sector interactions
• Is Modified Gravity Required by Observations? An Empirical Consistency Test of Dark Energy Models
• Fingerprinting dark energy
• Consistency test of general relativity from large scale structure of the Universe
• Can a galaxy redshift survey measure dark energy clustering?
• Anisotropic dark energy and CMB anomalies
• Scalar Field Dark Energy Perturbations and their Scale Dependence
• A step towards testing general relativity using weak gravitational lensing and redshift surveys
• The signature of dark energy perturbations in galaxy cluster surveys
• On the dangers of using the growth equation on large scales in the Newtonian gauge
• Clustering Properties of Dynamical Dark Energy Models

Cited by in corpus (61)

• f(R) theories
• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Cosmological Tests of Modified Gravity
• Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations
• Effective Field Theory of Cosmic Acceleration: an implementation in CAMB
• Testing gravity with CAMB and CosmoMC
• Dark energy in Horndeski theories after GW170817: A review
• Testing General Relativity with Current Cosmological Data
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• A practical approach to cosmological perturbations in modified gravity
• Density perturbations in general modified gravitational theories
• Cosmological constraints on interacting dark energy with redshift-space distortion after Planck data
• The Paths of Gravity in Galileon Cosmology
• Towards a fully consistent parameterization of modified gravity
• The phenomenological approach to modeling the dark energy
• Unraveling the effective fluid approach for $f(R)$ models in the subhorizon approximation
• Testing coupled dark energy with large scale structure observation
• Testing General Relativity at Cosmological Scales: Implementation and Parameter Correlations
• Complementarity of Weak Lensing and Peculiar Velocity Measurements in Testing General Relativity
• Effects of Anisotropic Stress in Interacting Dark Matter - Dark Energy Scenarios
• Effective field theory of modified gravity with two scalar fields: dark energy and dark matter
• Chameleon dark energy models with characteristic signatures
• Testing coupled dark energy with next-generation large-scale observations
• Confronting General Relativity with Further Cosmological Data
• Coupled dark energy with perturbed Hubble expansion rate
• Cosmological constraints on coupled dark energy
• Future CMB cosmological constraints in a dark coupled universe
• Technically natural dark energy from Lorentz breaking
• Ambiguous Tests of General Relativity on Cosmological Scales
• Effective Field Theory of Dark Energy: a Dynamical Analysis
• Figures of merit and constraints from testing General Relativity using the latest cosmological data sets including refined COSMOS 3D weak lensing
• Anisotropic stress and stability in modified gravity models
• COSMOS weak-lensing constraints on modified gravity
• Observational signatures of the theories beyond Horndeski
• Diagnostic of Horndeski Theories
• Consistency check of ΛCDM phenomenology
• Constraints on a decomposed dark fluid with constant adiabatic sound speed by jointing the geometry test and growth rate after Planck data
• Modified Gravity: the CMB, Weak Lensing and General Parameterisations
• Observable physical modes of modified gravity
• Imprints of interacting dark energy on cosmological perturbations
• The traces of anisotropic dark energy in light of Planck
• Modified Einstein versus Modified Euler for Dark Matter
• Combined constraints on deviations of dark energy from an ideal fluid from Euclid and Planck
• Constraining Cosmic Expansion and Gravity with Galaxy Redshift Surveys
• Density perturbations in $f(R,\varphi )$-gravity with an application to the (varying power)-law model
• Model Independent Tests of Cosmic Gravity
• Structure formation in $f(R)$ gravity: A distinguishing probe between the dark energy and modified gravity
• Cosmological Constraints from the Anisotropic Clustering Analysis using BOSS DR9
• Measuring the distortion of time with relativistic effects in large-scale structure
• Degeneracies in parametrized modified gravity models
• Dark energy homogeneity in general relativity: Are we applying it correctly?
• Parametrization for the Scale Dependent Growth in Modified Gravity
• Model Breaking Measure for Cosmological Surveys
• The Effective Fluid approach for Modified Gravity and its applications
• A representation learning approach to probe for dynamical dark energy in matter power spectra
• The Distinguishability of Interacting Dark Energy from Modified Gravity
• Effects of Dark Energy anisotropic stress on the matter power spectrum
• Realizing the phantom-divide crossing with vector and scalar fields
• Testing General Relativity through the $E_G$ Statistic Using the Weyl Potential and Galaxy Velocities
• Matter growth in extended $\Lambda$CDM cosmology