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
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- The Integrated Bispectrum in Modified Gravity Theories
- Quasi Static Evolution of Compact Objects in Modified Gravity
- Gravitational-wave constraints on scalar-tensor gravity from a neutron star and black-hole binary GW200115
- Cosmic Tsunamis in Modified Gravity: Disruption of Screening Mechanisms from Scalar Waves
- Multi-messenger Gravitational Lensing
- Can background cosmology hold the key for modified gravity tests?
- Thermodynamic analysis of black holes with cloud of strings and quintessence via Barrow entropy
- Testing gravity with gravitational waves electromagnetic probes cross-correlations
- Chebyshev cosmography in the framework of extended symmetric teleparallel theory
- Investigating dark energy by electromagnetic frequency shifts
- Fifth-Force Screening around Extremely Compact Sources
- Cosmological Tests of Dark Energy Model in FRW Universe
- Cosmological stability in gravity
- Search for environment-dependent dilatons
- Quintessence in the Weyl-Gauss-Bonnet model
- Multi-component DHOST analysis in galaxy clusters
- Geometric and topological corrections to Schwarzschild black hole
- Dark matter relic density from conformally or disformally coupled light scalars
- The impact of the Universe's expansion rate on constraints on modified growth of structure
- Cosmological study of a symmetric teleparallel gravity model
- Probing gravity with redshift-space distortions: effects of tracer bias and sample selection
- Screening the Higgs portal
- Tackling non-linearities with the effective field theory of dark energy and modified gravity
- Rotating Kerr-Newman space-times in Metric-Affine Gravity
- Accurate Computation of the Screening of Scalar Fifth Forces in Galaxies
- Some Recent Results on Ricci-Based Gravity Theories
- Structure formation in an anisotropic universe: Eulerian perturbation theory
- IR/UV mixing from local similarity maps of scalar non-Hermitian field theories
- Direct tests of General Relativity under screening effect with galaxy-scale strong lensing systems
- Separate Universes beyond General Relativity
- Probing modified gravitational-wave propagation through tidal measurements of binary neutron star mergers
- Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity
- Improved analytical modeling of the non-linear power spectrum in modified gravity cosmologies
- Vacuum states for gravitons field in de Sitter space
- Dynamical Dark Energy in Minimally Modified Gravity
- Search for dark energy with neutron interferometry
- Future evolution in a backreaction model and the analogous scalar field cosmology
- Investigating dark energy by electromagnetic frequency shifts II: the Pantheon+ sample
- 100 years of mathematical cosmology: Models, theories, and problems
- Observational constraints on interactions between dark energy and dark matter with momentum and energy transfers
- Dissipative quintessence, and its cosmological implications
- Scalar-Mediated Quantum Forces Between Macroscopic Bodies and Interferometry
- Magnetic-induced Spontaneous Scalarization in Dynamcial Chern-Simons Gravity
- Dynamical dark energy can amplify the expansion rate of the Universe
- Data-driven and Almost Model-independent Reconstruction of Modified Gravity
- Horndeski fermion-boson stars
- The effect of screening mechanisms on black hole binary inspiral waveforms
- A representation learning approach to probe for dynamical dark energy in matter power spectra
- Subpercent Accurate Fitting of Modified Gravity Growth
- Estimates of cluster masses in screened modified gravity
- Scalar emission from neutron star-black hole binaries in scalar-tensor theories with kinetic screening
- Spin precession as a new window into disformal scalar fields
- Reconstruction method in the kinetic gravity braiding theory with shift-symmetric
- A general framework to test gravity using galaxy clusters VI: Realistic galaxy formation simulations to study clusters in modified gravity
- Disentangling modified gravity from a dark force with gravitational redshift
- Cosmological fluids with boundary term couplings
- On the formation of "supermassive" neutron stars and dynamical transition to spontaneous scalarization
- Covariant formulation of refracted gravity
- Towards an accurate model of small-scale redshift-space distortions in modified gravity
- On Escaping a Galaxy Cluster in an Accelerating Universe
- Constraining Exponential f(Q) Gravity with Cosmic Chronometers and Supernovae: A Data-Driven Analysis
- Hair-dressing Horndeski: an approach to hairy solutions in cubic Horndeski gravity
- Gravitational radiation from binary systems in gravity: A semi-classical approach
- Absence of solid angle deficit singularities in beyond-generalized Proca theories
- Collapsing dynamics of relativistic fluid in modified gravity admitting a conformal Killing vector
- Cosmology of the interacting Tsallis holographic dark energy in gravity framework
- Stability of neutron stars in Horndeski theories with Gauss-Bonnet couplings
- The Nature of Dark Energy and Constraints on Its Hypothetical Constituents from Force Measurements
- On the galaxy 3-point correlation function in Modified Gravity
- Uncalibrated Cosmic Standards as a Robust Test on Late-Time Cosmological Models
- Cosmology at high redshift -- a probe of fundamental physics
- Causality and Stability from Acoustic Geometry
- Constraining the attractive fifth force in the general free scalar-tensor gravity with solar system experiments
- Shadows and photon spheres in static and rotating traversable wormholes
- Obtaining a scalar fifth force via a broken-symmetry couple between the scalar field and matter
- Frequency shifts induced by light scalar fields
- Combining strongly lensed and unlensed fast radio bursts: To be a more precise late-universe probe
- Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes
- Casimir Tests of Scalar-Tensor Theories
- Euclid preparation LXXI. Simulations and nonlinearities beyond CDM. 3. Constraints on models from the photometric primary probes
- A novel probe of graviton dispersion relations at nano-Hertz frequencies
- A new test of gravity -- I: Introduction to the method
- Thermodynamics of the Weyl Geometric Gravity Black Holes
- Extended minimal theories of massive gravity
- Weak-lensing tunnel voids in simulated light cones: A new pipeline to investigate modified gravity and massive neutrinos signatures
- Cosmic Acceleration and Geodesic Deviation in Chameleon Scalar Field Model
- Vainshtein Solutions Without Superluminal Modes
- On validity of the quasi-static approximation in scalar-tensor theories
- Probing a scale dependent gravitational slip with galaxy strong lensing systems
- Two-body problem in theories with kinetic screening
- The Galaxy Halo Connection in Modified Gravity Cosmologies: Environment Dependence of Galaxy Luminosity function
- General analysis of Noether symmetries in Horndeski gravity
- Cosmological Dynamics in Interacting Scalar-Torsion f(T,) Gravity: Investigating Energy and Momentum Couplings
- Gravitational wave signatures from dark sector interactions
- Testing screened scalar-tensor theories of gravity with atomic clocks
- Testing CCC+TL Cosmology with Galaxy Rotation Curves
- Some Specific Wormhole Solutions in Extended Gravity
- Calibrating galaxy formation effects in galactic tests of fundamental physics
- Non-linear density-velocity dynamics in gravity from spherical collapse
- I-Love-Q in Hořava-Lifshitz Gravity
- Stealth black holes in Aether Scalar Tensor theory
- Constraining primordial black hole masses through gravity scalarons in Big Bang Nucleosynthesis
- Instabilities of scalar fields around oscillating stars
- Inflation in non-local hybrid metric-Palatini gravity
- Novel electrically charged wormhole, black hole and black bounce exact solutions in hybrid metric-Palatini gravity
- Tadpole Cosmology: Self Tuning Without Degeneracy
- Imprints of extra dimensions in eccentric extreme-mass-ratio inspirals gravitational waveforms
- Novel modulus stabilization mechanism in higher dimensional f(R) Gravity
- Linearized Field Equations and Extra Force in Extended Gravity
- Teleparallel dark energy in a nonflat universe
- Extensions of two-field mimetic gravity
- On covariant expansion of the gravitational Stückelberg trick
- Well behaved class of Heintzmann's solution within framework
- Rotating black holes in valid vector-tensor theories after GW170817
- Dynamical Casimir effect with screened scalar fields
- Realizing the phantom-divide crossing with vector and scalar fields
- Cosmological Signatures of Dark Sector Physics: The Evolution of Haloes and Spin Alignment
- Features of the Primordial Universe in f(R)-gravity as viewed in the Jordan frame
- Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
- Cosmology in theories with spontaneous scalarization of neutron stars
- Energy Conditions in Extended Gravity
- Dark Matter Searches with Top Quarks
- Dynamical System Analysis Of Chameleon Mechanism in Brans-Dicke Scalar-Tensor Model
- Cosmological Issues in Gravity Theory
- Non-Parametric Analysis for the Dark Matter Density Evolution
- Luminal Scalar-Tensor theories for a not so dark Dark Energy
- Mimetic- gravity: cosmic reconstruction and energy conditions
- Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
- An Electrostatic Analogy for Symmetron Gravity
- Tests of gravitational scalar polarization and constraints of chameleon gravity from comprehensive analysis of binary pulsars
- Properties of compact objects in quadratic non-metricity gravity
- Vainshtein mechanism in massive gravity nonlinear sigma models
- Misinterpreting Modified Gravity as Dark Energy: a Quantitative Study
- Cosmological Solutions of Chameleon Scalar Field Model
- Tidal Love Numbers of Neutron Stars in Horndeski Theories
- Position-Dependent Correlation Function of Weak Lensing Convergence
- kSZ Pairwise Velocity Reconstruction with Machine Learning
- K-mouflage at high : extending the reach of
- Quantum and thermal pressures from light scalar fields
- PPN meets EFT of dark energy: Post-Newtonian approximation in higher-order scalar-tensor theories
- Post-Newtonian Gravity in Cosmology
- Gauge invariant perturbations in teleparallel Horndeski gravity
- Symmetry restoration in the vicinity of neutron stars with a nonminimal coupling
- Qualitative behaviour of higher-curvature gravity with boundary terms i.e the f(Q) gravity models by dynamical system analysis
- Could trapped quintessence account for the laser-detuning-dependent acceleration of cold atoms in varying-frequency time-of-flight experiments?
- Vainshtein screening in Horndeski theories nonminimally and kinetically coupled to ordinary matter
- Distribution of Phantom Dark Matter in Dwarf Spheroidals
- Cosmic structures in Ricci-inverse theories of gravity
- DESI constraints on two-field quintessence with exponential potentials
- Bending the web: exploring the impact of modified gravity on the density field and halo properties within the cosmic web
- Search for exotic gravitational wave signals beyond general relativity using deep learning
- On phenomenological parametrizations for the luminosity distance of gravitational waves
- Scalar-induced gravitational waves in spatially covariant gravity
- Dynamical Chameleon Neutron Stars: stability, radial oscillations and scalar radiation in spherical symmetry
- Exploring Scalarized Einstein-Gauss-Bonnet Theories Through the Lens of Parametrized Post-Newtonian Formalism
- Using Elliptical Galaxy Kinematics to Compare of the Strength of Gravity in Cosmological Regions of Differing Gravitational Potential -- A First Look
- Chameleon Gravity as an Alternative to Dark Matter
- Galactic dynamics in the presence of scalaron: A perspective from gravity
- Mapping the Weak-Field Limit of Scalar-Gauss-Bonnet Gravity
- Sub-Planckian scale and limits for models
- Signatures of Solar Chameleons in the Earth's Magnetic Field
- Co-interacting dark matter and conformally coupled light scalars
- Ricci cosmology in light of astronomical data
- Higgs-Induced Screening Mechanisms in Scalar-Tensor Theories
- Fermionic wave functions and Grassmann fields as possible sources of dark energy
- Cluster optical depth and pairwise velocity estimation using machine learning
- Cosmological perturbations in the spatially covariant gravity with a dynamical lapse function
- Dark Energy After DESI DR2: Observational Status, Reconstructions, and Physical Models
- Constraining scalar-tensor theories from higher harmonics with GW230529
- Gauge invariant perturbations of Cosmology
- Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop
- Quantum corrections to symmetron fifth-force profiles
- New dynamical features of pure k-essential cosmologies
- Scattering Amplitudes for Binary Systems beyond GR
- Modified Cosmology or Modified Galaxy Astrophysics is Driving the z>6 JWST Results? CMB Experiments can discover the Origin in the Near Future
- Horndeski in motion
- A New Estimator for Phase Statistics
- Constraining nonminimal f(T) gravity from Primordial Nucleosynthesis to Late-Universe observations
- Cosmography of Cardassian model
- Solutions of a slowly rotating Kerr flat-horizon black hole in dynamical Chern-Simons modified gravity
- Geometric formulation of -essence and late-time acceleration
- Metric Field as Emergence of Hilbert Space
- Weak gravitational flexion in various spacetimes: Exotic lenses and modified gravity
- Hamilton-Jacobi analysis of noncanonical inflation in gravity: Constraints from Planck/ACT data, and theoretical bounds
- On Weak Lensing Response Functions
- Reconstruction of a dark energy model for the Dirac-Born-Infeld scalar field with the Hubble and DESI data via Gaussian process
- Universality of the halo mass function in modified gravity cosmologies
- Topological Black Holes with curvature induced scalarization in the extended scalar-tensor theories
- Modifying CDM dynamics via out-of-equilibrium axions: reconciling SH0ES and DESI values
- Hypersurface Anchored Variational Principle for General Relativity
- Solar System and Atomic Clock Bounds on Locally Coupled Swampland Scalars
- Kinematic Probes of Type-II MMG: Padé Cosmographic Analysis of VCDM
- Ray-traced weak lensing convergence in screened modified gravity theories
- Post-Newtonian Constraints on Scalar-Tensor Gravity
- Bayesian and Machine-Learning Analyses of Nonminimal Gravity and Tension
- An Anti-halo Void Catalogue of the Local Super-Volume
- Cosmological perturbations in Energy-Momentum Squared Gravity
- Straight and Wiggly Cosmic Strings in Horndeski Theory
- Perturbations In Some Dark Energy Models
- Cavendish experiment with fast radio bursts on cosmological scales
- Cherenkov radiation as ghost instability
- Quartet-metric gravity, scalar-graviton dark substance and vacuum energy screening: extending GR vs. its WTDiff alternative
- Aspects of -dimensional Anisotropic Conformal Gravity
- Spherical symmetric solutions of gravity with a kinetic curvature scalar
- Physical Implications and Updated Observational Constraints of the PAge-like Unified Dark Fluid Model
- Tracing Signatures of Modified Gravity in Redshift-Space Galaxy Bispectrum Multipoles: Prospects for Euclid
- 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?
- Scalar-Induced Gravitational Waves in Palatini Gravity
- Insights in cosmology: the relevance of the connection
- Large scale structures: from inflation to today: a brief report