Living Reviews in Relativity

"Cosmology and Fundamental Physics with the Euclid Satellite"
Luca Amendola et al. (The Euclid Theory Working Group) 

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List of acronyms
List of symbols
1 Dark Energy
1.1 Introduction
1.2 Background evolution
1.2.1 Parametrization of the background evolution
1.3 Perturbations
1.3.1 Cosmological perturbation theory
1.3.2 Modified growth parameters
1.4 Models of dark energy and modified gravity
1.4.1 Quintessence
1.4.2 K-essence
1.4.3 A definition of modified gravity
1.4.4 Coupled dark-energy models
1.4.5 Phantom crossing
1.4.6 f(R) gravity
1.4.7 Massive gravity and higher-dimensional models
1.4.8 Einstein Aether and its generalizations
1.4.9 The Tensor-Vector-Scalar theory of gravity
1.5 Generic properties of dark energy and modified gravity models
1.5.1 To which precision should we measure w?
1.5.2 The effective anisotropic stress as evidence for modified gravity
1.5.3 Parameterized frameworks for theories of modified gravity
1.6 Nonlinear aspects
1.6.1 N-body simulations of dark energy and modified gravity
1.6.2 The spherical collapse model
1.7 Observational properties of dark energy and modified gravity
1.7.1 General remarks
1.7.2 Observing modified gravity with weak lensing
1.7.3 Observing modified gravity with redshift surveys
1.7.4 Cosmological bulk flows
1.8 Forecasts for Euclid
1.8.1 A review of forecasts for parametrized modified gravity with Euclid
1.8.2 Euclid surveys
1.8.3 Forecasts for the growth rate from the redshift survey
1.8.4 Weak lensing non-parametric measurement of expansion and growth rate
1.8.5 Testing the nonlinear corrections for weak lensing forecasts
1.8.6 Forecasts for the dark-energy sound speed
1.8.7 Weak lensing constraints on f(R ) gravity
1.8.8 Forecast constraints on coupled quintessence cosmologies
1.8.9 Extra-Euclidean data and priors
1.9 Summary and outlook
2 Dark Matter and Neutrinos
2.1 Introduction
2.2 Dark matter halo properties
2.2.1 The halo mass function as a function of redshift
2.2.2 The dark matter density profile
2.3 Euclid dark matter studies: wide-field X-ray complementarity
2.4 Dark matter mapping
2.4.1 Charting the universe in 3D
2.5 Scattering cross sections
2.5.1 Dark matter–dark matter interactions
2.5.2 Dark matter–baryonic interactions
2.5.3 Dark matter–dark energy interactions
2.6 Cross-section constraints from galaxy clusters
2.6.1 Bulleticity
2.7 Constraints on warm dark matter
2.7.1 Warm dark matter particle candidates
2.7.2 Dark matter free-streaming
2.7.3 Current constraints on the WDM particle from large-scale structure
2.8 Neutrino properties
2.8.1 Evidence of relic neutrinos
2.8.2 Neutrino mass
2.8.3 Hierarchy and the nature of neutrinos
2.8.4 Number of neutrino species
2.8.5 Model dependence
2.8.6 Σ forecasted error bars and degeneracies
2.8.7 N eff forecasted errors and degeneracies
2.8.8 Nonlinear effects of massive cosmological neutrinos on bias and RSD
2.9 Coupling between dark energy and neutrinos
2.10 Unified Dark Matter
2.10.1 Theoretical background
2.10.2 Euclid Observables
2.11 Dark energy and dark matter
2.12 Ultra-light scalar fields
2.12.1 Requirements
2.13 Dark-matter surrogates in theories of modified gravity
2.13.1 Extra fields in modified gravity
2.13.2 Vector dark matter in Einstein-Aether models
2.13.3 Scalar and tensors in TeVeS
2.13.4 Tensor dark matter in models of bigravity
2.14 Outlook
3 Initial Conditions
3.1 Introduction
3.2 Constraining inflation
3.2.1 Primordial perturbations from inflation
3.2.2 Forecast constraints on the power spectrum
3.3 Probing the early universe with non-Gaussianities
3.3.1 Local non-Gaussianity
3.3.2 Shapes: what do they tell us?
3.3.3 Beyond shapes: scale dependence and the squeezed limit
3.3.4 Beyond inflation
3.4 Primordial Non-Gaussianity and Large-Scale Structure
3.4.1 Constraining primordial non-Gaussianity and gravity from 3-point statistics
3.4.2 Non-Gaussian halo bias
3.4.3 Number counts of nonlinear structures
3.4.4 Forecasts for Euclid
3.4.5 Complementarity
3.5 Isocurvature modes
3.5.1 The origin of isocurvature perturbations
3.5.2 Constraining isocurvature perturbations
3.6 Summary and outlook
4 Testing the Basic Cosmological Hypotheses
4.1 Introduction
4.2 Transparency and Etherington Relation
4.2.1 Violation of photon conservation
4.2.2 Axion-like particles
4.2.3 Mini-charged particles
4.3 Beyond homogeneity and isotropy
4.3.1 Anisotropic models
4.3.2 Late-time inhomogeneity
4.3.3 Inhomogeneous models: Large voids
4.3.4 Inhomogeneous models: Backreaction
4.4 Reconstructing the global curvature at different redshifts
4.5 Speculative avenues: non-standard models of primordial fluctuations
4.5.1 Probing the quantum origin of primordial fluctuations
4.5.2 Early-time anisotropy
4.5.3 Current and future constraints from CMB and LSS on an anisotropic power spectrum
5 Statistical Methods for Performance Forecasts
5.1 Introduction
5.2 Predicting the science return of a future experiment
5.2.1 The Gaussian linear model
5.2.2 Fisher-matrix error forecast
5.2.3 Figure of merits
5.2.4 The Bayesian approach
5.3 Survey design and optimization
5.4 Future activities and open challenges