Beyond the Cosmological Standard Model
arXiv:1407.0059 · doi:10.1016/j.physrep.2014.12.002
Abstract
After a decade and a half of research motivated by the accelerating universe, theory and experiment have a reached a certain level of maturity. The development of theoretical models beyond Λ, or smooth dark energy, often called modified gravity, has led to broader insights into a path forward, and a host of observational and experimental tests have been developed. In this review we present the current state of the field and describe a framework for anticipating developments in the next decade. We identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests. We begin by reviewing attempts to consistently modify Einstein gravity in the infrared, focusing on the notion that additional degrees of freedom introduced by the modification must screen themselves from local tests of gravity. We categorize screening mechanisms into three broad classes: mechanisms which become active in regions of high Newtonian potential, those in which first derivatives become important, and those for which second derivatives are important. Examples of the first class, such as f(R) gravity, employ the familiar chameleon or symmetron mechanisms, whereas examples of the last class are galileon and massive gravity theories, employing the Vainshtein mechanism. In each case, we describe the theories as effective theories. We describe experimental tests, summarizing laboratory and solar system tests and describing in some detail astrophysical and cosmological tests. We discuss future tests which will be sensitive to different signatures of new physics in the gravitational sector. Parts that are more relevant to theorists vs. observers/experimentalists are clearly indicated, in the hope that this will serve as a useful reference for both audiences, as well as helping those interested in bridging the gap between them.
175 pages, 24 figures. v2: Minor corrections, added references. Review article, comments welcome
References in corpus (288)
- Dynamics of dark energy
- Modules for Experiments in Stellar Astrophysics (MESA)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- The Confrontation between General Relativity and Experiment
- Dark Energy and the Accelerating Universe
- Resummation of Massive Gravity
- Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
- Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
- Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
- Disappearing cosmological constant in f(R) gravity
- The Effective Field Theory of Inflation
- Covariant Galileon
- Causality, Analyticity and an IR Obstruction to UV Completion
- Extra force in modified theories of gravity
- Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
- Observational Signatures and Non-Gaussianities of General Single Field Inflation
- Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
- Extended Theories of Gravity and their Cosmological and Astrophysical Applications
- Class of viable modified gravities describing inflation and the onset of accelerated expansion
- Flux Compactification
- Cosmological Evolution of a Quintom Model of Dark Energy
- Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
- Test of the Equivalence Principle Using a Rotating Torsion Balance
- Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
- Palatini Approach to Modified Gravity: f(R) Theories and Beyond
- Reconstructing Dark Energy
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Conditions for the cosmological viability of f(R) dark energy models
- Imperfect Dark Energy from Kinetic Gravity Braiding
- Can dark energy evolve to the Phantom?
- The Anthropic Landscape of String Theory
- Are f(R) dark energy models cosmologically viable ?
- Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
- Avoiding Dark Energy with 1/R Modifications of Gravity
- The Large Scale Structure of f(R) Gravity
- G-inflation: inflation driven by the Galileon field
- Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
- Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
- Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
- A Parameterized Post-Friedmann Framework for Modified Gravity
- Measuring the dark side (with weak lensing)
- A discriminating probe of gravity at cosmological scales
- Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
- Constraining f(R) Gravity as a Scalar Tensor Theory
- Approaches to Understanding Cosmic Acceleration
- Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter
- Spherically symmetric solutions of modified field equations in f(R) theories of gravity
- No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
- Solar System constraints to general f(R) gravity
- New Ekpyrotic Cosmology
- Environmental Dependence of Masses and Coupling Constants
- Correlation of CMB with large-scale structure: I. ISW Tomography and Cosmological Implications
- Confirmation of general relativity on large scales from weak lensing and galaxy velocities
- Galilean Genesis: an alternative to inflation
- Infrared-modified gravities and massive gravitons
- Metric-affine f(R) theories of gravity
- The Cosmology of f(R) Gravity in the Metric Variational Approach
- f(R) Gravity and Chameleon Theories
- Interacting Spin-2 Fields
- Galileon Cosmology
- Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
- Energy conditions in f(R)-gravity
- Dark energy and dark matter as curvature effects
- Introduction to Effective Field Theory
- Modified non-local-F(R) gravity as the key for the inflation and dark energy
- Modified gravity models of dark energy
- The future evolution and finite-time singularities in -gravity unifying the inflation and cosmic acceleration
- Galileon inflation
- Searching for modified growth patterns with tomographic surveys
- On the renormalization group flow of f(R)-gravity
- Degravitation of the Cosmological Constant and Graviton Width
- Massive gravity: nonlinear instability of the homogeneous and isotropic universe
- Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
- The Effective Theory of Quintessence: the w<-1 Side Unveiled
- Observational Tests of Modified Gravity
- Crossing the Phantom Divide with Parameterized Post-Friedmann Dark Energy
- Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
- Solar System tests DO rule out 1/R gravity
- Stability of Cosmological Solution in f(R) Models of Gravity
- A f(R) gravity without cosmological constant
- On the consistency relation of the 3-point function in single field inflation
- Cluster Constraints on f(R) Gravity
- Improved constraints on non-Newtonian forces at 10 microns
- A Singularity Problem with f(R) Dark Energy
- Thawing quintessence with a nearly flat potential
- Perturbations in generalized multi-field inflation
- Multi-field galileons and higher co-dimension branes
- Cosmic Acceleration and the Helicity-0 Graviton
- Non-linear evolution of f(R) cosmologies II: power spectrum
- The Dynamics of Quintessence, The Quintessence of Dynamics
- Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: New results and constraints on dark energy
- Strongly Coupled Chameleon Fields: New Horizons in Scalar Field Theory
- N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
- Current constraints on the cosmic growth history
- Relativistic stars in f(R) gravity, and absence thereof
- DGP Specteroscopy
- Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
- Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
- Screening Modifications of Gravity through Disformally Coupled Fields
- The matter power spectrum in f(R) gravity
- Non-linear evolution of f(R) cosmologies I: methodology
- On the Growth of Perturbations as a Test of Dark Energy
- The evolution of density perturbations in f(R) gravity
- The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
- Gravity Resonance Spectroscopy Constrains Dark Energy and Dark Matter Scenarios
- Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills- gravity and non-minimal vector- gravity
- Global topological k-defects
- The Inflationary Trispectrum for Models with Large Non-Gaussianities
- Non-Local Modification of Gravity and the Cosmological Constant Problem
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
- f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
- The acceleration of the universe and the physics behind it
- A high redshift detection of the integrated Sachs-Wolfe effect
- Higgs G-inflation
- Primordial fluctuations and non-Gaussianities in multi-field DBI inflation
- Generalized Global Defect Solutions
- Symmetries for Galileons and DBI scalars on curved space
- Kinetic k-essence and Quintessence
- Cascading DGP
- Cosmological Constraints on f(R) Acceleration Models
- Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
- The recovery of General Relativity in massive gravity via the Vainshtein mechanism
- Ghosts in the self-accelerating universe
- Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
- On causality and superluminal behavior in classical field theories. Applications to k-essence theories and MOND-like theories of gravity
- On model selection forecasting, Dark Energy and modified gravity
- Probing modifications of General Relativity using current cosmological observations
- Acausality of Massive Gravity
- Compatibility of the chameleon-field model with fifth-force experiments, cosmology, and PVLAS and CAST results
- Observational constraints on Galileon cosmology
- Constraints on a New Post-General Relativity Cosmological Parameter
- Can Cosmic Structure form without Dark Matter?
- Quasi-Dilaton: Theory and Cosmology
- Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
- Dynamical Masses in Modified Gravity
- Large-Scale Tests of the DGP Model
- Detecting Chameleons through Casimir Force Measurements
- Bi-galileon theory I: motivation and formulation
- Primordial non-Gaussianity from the DBI Galileons
- Predictive Power of Strong Coupling in Theories with Large Distance Modified Gravity
- Matter perturbations in Galileon cosmology
- Black Holes in Bi-scalar Extensions of Horndeski Theories
- Brans-Dicke Scalar Field as a Chameleon
- Parametrized Post-Friedmann Signatures of Acceleration in the CMB
- Constraining f(R) theories with the energy conditions
- Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
- Density perturbations in general modified gravitational theories
- Density perturbations in f(R) gravity theories in metric and Palatini formalisms
- Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution
- Simultaneous Falsification of LCDM and Quintessence with Massive, Distant Clusters
- The existence of relativistic stars in f(R) gravity
- Modified gravity a la Galileon: Late time cosmic acceleration and observational constraints
- Cross-correlation of WMAP 3rd year and the SDSS DR4 galaxy survey: new evidence for Dark Energy
- The quantum mechanics of perfect fluids
- Axions as Quintessence in String Theory
- Galileons as Wess-Zumino Terms
- Primordial non-Gaussianities in general modified gravitational models of inflation
- Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity
- Linear perturbations in Galileon gravity models
- Next Generation Redshift Surveys and the Origin of Cosmic Acceleration
- No-go theorem for k-essence dark energy
- Dynamical analysis of generalized Galileon cosmology
- DBI-essence
- Lorentz-violating graviton masses: getting around ghosts, low strong coupling scale and VDVZ discontinuity
- Spherically symmetric spacetimes in f(R) gravity theories
- General Embedded Brane Effective Field Theories
- N-Body Simulations of DGP and Degravitation Theories
- Dark energy, inflation and dark matter from modified F(R) gravity
- Vainshtein Mechanism in Binary Pulsars
- Subluminal Galilean Genesis
- Spontaneous Lorentz Breaking and Massive Gravity
- Superluminality and UV Completion
- Is Modified Gravity Required by Observations? An Empirical Consistency Test of Dark Energy Models
- Lorentz violation and perpetual motion
- Can higher curvature corrections cure the singularity problem in f(R) gravity?
- Symmetries, Sum Rules and Constraints on Effective Field Theories
- Ghost Constraints on Modified Gravity
- Primordial non-Gaussianity from G-inflation
- Riding on irrelevant operators
- Where in the String Landscape is Quintessence
- Detecting Chameleons: The Astronomical Polarization Produced by Chameleon-like Scalar Fields
- k-defects as compactons
- Gauge k-vortices
- Vacuum Energy Sequestering: The Framework and Its Cosmological Consequences
- A relativistic non-relativistic Goldstone theorem: gapped Goldstones at finite charge density
- Lorentz Breaking Massive Gravity in Curved Space
- Stability and superluminality of spherical DBI galileon solutions
- Curvature scalar instability in f(R) gravity
- Dynamical behavior of generic quintessence potentials: constraints on key dark energy observables
- N-Body Simulations of Alternate Gravity Models
- A k-essence Model Of Inflation, Dark Matter and Dark Energy
- Time-dependent spherically symmetric covariant Galileons
- Constraint on the Post-Newtonian Parameter gamma on Galactic Size Scales
- Degrees of Freedom in Massive Gravity
- CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism
- Cosmology Based on f(R) Gravity Admits 1 eV Sterile Neutrinos
- DBI Realizations of the Pseudo-Conformal Universe and Galilean Genesis Scenarios
- Covariant constraints in ghost free massive gravity
- Multi-galileons, solitons and Derrick's theorem
- No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
- Massive gravity from bimetric gravity
- How (Not) to Palatini
- Cosmology of the proxy theory to massive gravity
- Phantom boundary crossing and anomalous growth index of fluctuations in viable f(R) models of cosmic acceleration
- The Vainshtein mechanism in the Decoupling Limit of massive gravity
- K-mouflage Cosmology: the Background Evolution
- A small cosmological constant from Abelian symmetry breaking
- Laboratory constraints on chameleon dark energy and power-law fields
- Effective field theory of modified gravity with two scalar fields: dark energy and dark matter
- Spontaneous Lorentz Breaking at High Energies
- Theories of Dark Energy with Screening Mechanisms
- A search for chameleon particles using a photon regeneration technique
- Doppelganger defects
- Generalized Galileon Duality
- A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
- A Covariant Master Theory for Novel Galilean Invariant Models and Massive Gravity
- The Effect of a Chameleon Scalar Field on the Cosmic Microwave Background
- Unveiling Chameleons in Tests of Gravitational Inverse-Square Law
- K fields, compactons, and thick branes
- Attractor scenarios and superluminal signals in k-essence cosmology
- Compactlike kinks and vortices in generalized models
- Cosmology of the selfaccelerating third order Galileon
- Fab Four: When John and George play gravitation and cosmology
- The effective field theory of inflation/dark energy and the Horndeski theory
- Equivalence Principle Violation in Vainshtein Screened Two-Body Systems
- K-mouflage Cosmology: Formation of Large-Scale Structures
- Nonlinear Properties of Vielbein Massive Gravity
- Bigravity and Lorentz-violating Massive Gravity
- Fab 5: Noncanonical Kinetic Gravity, Self Tuning, and Cosmic Acceleration
- Derrick's theorem beyond a potential
- Nonlinear perturbations of cosmological scalar fields with non-standard kinetic terms
- Cosmology and perturbations in massive gravity
- The Wall of Fundamental Constants
- Microcausality in Curved Space-Time
- Gravitating Global k-monopole
- Spherical Collapse and Cluster Counts in Modified Gravity Models
- Nonlinear realizations of symmetries and unphysical Goldstone bosons
- Superluminality in DGP
- A step towards testing general relativity using weak gravitational lensing and redshift surveys
- Large-Scale Structure in Brane-Induced Gravity I. Perturbation Theory
- Towards a UV Completion for Chameleon Scalar Theories
- On ghosts in theories of self-interacting massive spin-2 particles
- Instabilities of Spherical Solutions with Multiple Galileons and SO(N) Symmetry
- f(R) Gravity and its Cosmological Implications
- Quintessence in a quandary: prior dependence in dark energy models
- Induced gravity on intersecting brane-worlds Part I: Maximally symmetric solutions
- Induced gravity on intersecting brane-worlds Part II: Cosmology
- Bumpy black holes from spontaneous Lorentz violation
- Thermodynamics of k-essence
- New Regions for a Chameleon to Hide
- All Fierz-Paulian massive gravity theories have ghosts or superluminal modes
- Inequivalence of Coset Constructions for Spacetime Symmetries
- Road Signs for UV-Completion
- The nonlinear dynamical stability of infrared modifications of gravity
- Galaxy clustering constraints on deviations from Newtonian gravity at cosmological scales II: Perturbative and numerical analyses of power spectrum and bispectrum
- Hall viscosity from effective field theory
- Cosmological Implications of the Effective Field Theory of Cosmic Acceleration
- Metric Formulation of Ghost-Free Multivielbein Theory
- Derivative Chameleons
- Probing Modified Gravity Theories with ISW and CMB Lensing
- Large Scale Structure Formation of Normal Branch in DGP Brane World Model
- Dirac Born Infeld (DBI) Cosmic Strings
- Reconstructing a model of quintessential inflation
- Self-accelerating solutions in massive gravity on an isotropic reference metric
- Spherically symmetric analysis on open FLRW solution in non-linear massive gravity
- The Big Constant Out, The Small Constant In
- Imprints of deviations from the gravitational inverse-square law on the power spectrum of mass fluctuations
- The content of f(R) gravity
- Classical Duals of Derivatively Self-Coupled Theories
- Solar system constraints on the Dvali-Gabadadze-Porrati braneworld theory of gravity
- Cosmology in rotation-invariant massive gravity with non-trivial fiducial metric
- Chameleon Cosmology Model Describing the Phantom Divide Line Crossing
- TASI Lectures: Introduction to Cosmology
- Revisiting the screening mechanism in gravity
- Exact Solution to the "Auxiliary Extra Dimension" Model of Massive Gravity
- Plane waves in the generalized Galileon theory
- A Positive Energy Theorem for P(X,phi) Theories
- From Lovelock to Horndeski's generalised scalar-tensor theory
- Screening bulk curvature in the presence of large brane tension
- Phantom behaviour and growth index anomalous evolution in viable f(R) gravity models
- Lectures on Screened Modified Gravity
- Generalized Framework for Auxiliary Extra Dimensions
- Solar System tests disfavor gravities
- Cosmological evolutions of nonlinear massive gravity
- Lunar Laser Ranging - a comprehensive probe of post-Newtonian gravity
- Multifractal analysis and lacunarity spectrum of the galaxies of the ninth Sloan Digital Sky Survey (SDSS) data release
- Cosmology from weak lensing of CMB
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- The XMM Cluster Survey: Testing chameleon gravity using the profiles of clusters
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- Disformal Theories of Gravity: From the Solar System to Cosmology
- Neutron Interferometry constrains dark energy chameleon fields
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- Shaken, not stirred: kinetic mixing in scalar-tensor theories of gravity
- Cosmology of bigravity with doubly coupled matter
- Constraints and tensions in testing general relativity from Planck and CFHTLenS including intrinsic alignment systematics
- CDM Bounce Cosmology without CDM: the case of modified gravity
- Halo velocity profiles in screened modified gravity theories
- Dark Energy and Equation of State Oscillations with Collisional Matter Fluid in Exponential Modified Gravity
- Completing Lorentz violating massive gravity at high energies
- Vainshtein Solutions Without Superluminal Modes
- On covariant expansion of the gravitational Stückelberg trick
- Cosmological Issues in Gravity Theory
- Revisiting Noether gauge symmetry approach in quintom cosmology
- Does f(R,T) gravity admit a stationary scenario between dark energy and dark matter in its framework?