REVIEW 3 minor 124 cited by
Modified Gravity and Cosmology
T0 review · 0 major / 3 minor · reviewed 2026-05-13 · grok-4.3
Pith's one-line read Modified gravity theories alter cosmic expansion and structure growth in testable ways.
desk verdict This is a review that compiles existing modified gravity models and their cosmology without new results, but organizes them clearly enough to be a practical reference. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The Parameterised Post-Friedmannian formalism, a framework designed to parameterize deviations from general relativity in a form directly comparable to cosmological observations on the largest scales.
What would settle it
A major modified gravity theory or recent development that fits current cosmological data but is absent from the survey, or a dataset that cannot be accommodated by any reviewed model within the Parameterised Post-Friedmannian approach.
Extended reading notes
Core claim
The authors present a comprehensive survey of modified theories of gravity and their cosmological consequences, covering General Relativity, Scalar-Tensor, Einstein-Aether, and Bimetric theories, as well as TeVeS, f(R), general higher-order theories, Horava-Lifschitz gravity, Galileons, Ghost Condensates, and models of extra dimensions including Kaluza-Klein, Randall-Sundrum, DGP, and higher co-dimension braneworlds, together with efforts to construct a Parameterised Post-Friedmannian formalism suitable for constraining deviations from General Relativity in cosmology and comparing them with data.
Load-bearing premise
That the selected theories, references, and formalism represent the field without major omissions or selection bias in the literature covered.
Editorial extensions
If this is right
- Specific models such as DGP braneworlds and f(R) gravity predict distinct signatures in the expansion history and growth of structure that differ from a cosmological constant.
- The Parameterised Post-Friedmannian formalism enables direct comparison of modified gravity predictions with data from cosmic microwave background and large-scale structure surveys.
- Researchers gain a reference for interpreting whether observed acceleration requires new gravitational physics rather than dark energy.
- Models like Galileons and ghost condensates supply mechanisms for late-time acceleration that avoid certain fine-tuning issues of the standard model.
Reading between the lines
- This survey implies that future observations could systematically narrow the space of viable modified gravity models if no deviations appear.
- The overview could guide the construction of numerical simulations to check the stability of these models under realistic initial conditions.
- Connections between the reviewed classical modifications and underlying quantum gravity approaches remain open for exploration.
- The formalism might be extended to include scale-dependent or environment-dependent effects not fully parameterized in the original treatment.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper is a review article that presents a comprehensive survey of modified theories of gravity and their cosmological consequences. It covers General Relativity as a baseline, followed by scalar-tensor theories, Einstein-Aether and bimetric theories, TeVeS, f(R) gravity, general higher-order theories, Horava-Lifshitz gravity, Galileons, ghost condensates, and extra-dimensional models including Kaluza-Klein, Randall-Sundrum, DGP, and higher co-dimension braneworlds. It also reviews efforts to construct a Parameterised Post-Friedmannian (PPF) formalism for constraining deviations from GR on large scales, motivated by advances in observational cosmology.
Significance. If the survey accurately represents the cited literature without major omissions, the paper serves as a valuable self-contained reference tool and introduction for researchers and students in cosmology and gravitational physics. Its strength is the broad organization of diverse approaches and formalisms drawn from the existing literature, providing context for precision tests of gravity on cosmic scales without advancing new derivations or predictions.
minor comments (3)
- [Abstract and Introduction] The repeated use of 'thoroughly comprehensive' in the abstract and introduction is subjective; a brief statement of literature search criteria or scope boundaries would strengthen the central claim of completeness.
- [Sections on Galileons and Horava-Lifshitz gravity] In sections discussing specific models (e.g., Galileons or Horava-Lifshitz), ensure that the mapping between the modified action and the resulting cosmological equations is presented with consistent notation to aid readers new to the field.
- [PPF formalism discussion] The PPF formalism section would benefit from an explicit comparison table summarizing how different parameterizations relate to the covered theories, improving usability as a reference.
Simulated Author's Rebuttal
We thank the referee for their positive review and recommendation to accept the manuscript. We are pleased that the survey is viewed as a valuable self-contained reference tool and introduction for researchers and students.
Circularity Check
Review article with no internal derivations or self-referential predictions
full rationale
This is a survey paper whose central claim is to organize and reference existing literature on modified gravity theories and cosmology. No original equations, fitted parameters, or predictions are advanced that could reduce to the paper's own inputs by construction. All technical content is attributed to external citations, with no load-bearing self-citation chains or self-definitional steps present. The comprehensiveness claim rests on the breadth of referenced works rather than any internal derivation.
Assumptions & free parameters
Cite this review
Pith. "Pith review of Modified Gravity and Cosmology." pith.science (2026). https://pith.science/paper/GLVRAKOM
@misc{pith202611062476,
author = {Pith},
title = {Pith review of: Modified Gravity and Cosmology},
year = {2026},
howpublished = {\url{https://pith.science/paper/GLVRAKOM}},
note = {Machine review of arXiv:1106.2476}
}
read the original abstract
In this review we present a thoroughly comprehensive survey of recent work on modified theories of gravity and their cosmological consequences. Amongst other things, we cover General Relativity, Scalar-Tensor, Einstein-Aether, and Bimetric theories, as well as TeVeS, f(R), general higher-order theories, Horava-Lifschitz gravity, Galileons, Ghost Condensates, and models of extra dimensions including Kaluza-Klein, Randall-Sundrum, DGP, and higher co-dimension braneworlds. We also review attempts to construct a Parameterised Post-Friedmannian formalism, that can be used to constrain deviations from General Relativity in cosmology, and that is suitable for comparison with data on the largest scales. These subjects have been intensively studied over the past decade, largely motivated by rapid progress in the field of observational cosmology that now allows, for the first time, precision tests of fundamental physics on the scale of the observable Universe. The purpose of this review is to provide a reference tool for researchers and students in cosmology and gravitational physics, as well as a self-contained, comprehensive and up-to-date introduction to the subject as a whole.
Forward citations
Showing 60 of 124 Pith papers that cite this
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Disformal Maps: Classification and Singular Dynamics
Disformal transformations are classified by a Cayley-Hamilton degree and Hawking-Ellis type, and the mimetic energy-momentum tensor's type follows from a polynomial map of the original tensor.
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Vacuum Gravity from Entropy: Stability, Spectra, and Exact Waves
The vacuum sector of Gravity from Entropy reduces at quadratic order to Einstein gravity plus RμνRμν terms, and the resulting linear spectrum contains a tachyonic opposite-residue spin-2 pole for the foundational coup...
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Tests of general relativity at the fourth post-Newtonian order with GW230627 and GW250114
Bayesian analysis of GW230627 and GW250114 finds no deviation from GR at 4PN and 4.5PN orders, setting the first empirical baseline with 90% intervals of order O(1)-O(10).
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Testing Dark Energy with Black Hole Ringdown
Dynamical dark energy imprints O(1) shifts on black hole quasi-normal modes via cosmological hair, enabling constraints at 10^{-2} (LVK) to 10^{-4} (LISA) precision using the cubic Galileon as example.
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Stable black hole solutions with cosmological hair
Stable black hole solutions with cosmological scalar hair are explicitly derived in the cubic Galileon theory, recovering cosmological behavior at large distances and regular short-range dynamics.
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How deep can a cosmic void be? Voids-informed theoretical bounds in Galileon gravity
Galileon models must obey a void-depth limit tied to expansion history to avoid force breakdowns, excluding ~60% of a linear parameterization's space by z less than or equal to 10.
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Eckart heat-flux applicability in $F(\Phi,X)R$ theories and the existence of temperature gradients
Eckart heat flux holds for all timelike scalar configurations in F(Φ,X)R + G theories if and only if F_X ≡ 0, reducing the theory to a Jordan-like subclass of Horndeski.
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Degenerate higher-order scalar-tensor theories in metric-affine gravity
A metric-affine version of quadratic DHOST theories is derived and reduced to a one-function family that satisfies degeneracy conditions and light-speed gravitational wave propagation.
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Tidal Love Numbers of Neutron Stars in Horndeski Theories
In scalar-tensor theories, the 1/r^3 term used to extract neutron star tidal Love numbers contains a Love-number-independent contamination, computed here for minimally coupled and DEF scalar fields.
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Cosmological higher-curvature gravities
Higher-curvature gravities are constructed in which both FLRW backgrounds and linearized scalar perturbations obey at most second-order differential equations.
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Higher-derivative gravitational effective field theories are generically weakly hyperbolic
Any pure-metric higher-derivative gravity EFT with derivative-independent characteristics has a weakly hyperbolic physical spin-2 block that gauge fixing and constraint addition cannot remove.
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Emulating the nonlinear effects of modified gravity on the matter power spectrum for reconstruction
A neural-network emulator predicts the ratio of nonlinear to linear modified-gravity matter power spectra across a 28-dimensional cosmological and MG parameter space, matching MGCAMB+ReACT to roughly 1–2%.
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Phantom-divide crossing and suppressed structure growth in kinetically braided dark energy with momentum exchange
A linearly stable kinetic-braiding dark-energy model with CDM momentum exchange realizes upward phantom-divide crossing and weak CDM gravitational clustering, altering matter and CMB spectra.
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Gravitational Wave Birefringence in generalized Palatini Chern Simons
Palatini f(R)+Chern–Simons gravity predicts amplitude and velocity birefringence in GW propagation, with the effect controlled by f_R and, under de-Sitter approximations, growing polynomially with redshift.
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Precision Ringdown Measurements of Binary Black Hole Remnants
A ringdown analysis of 16 GWTC-3 binary black holes using cWB-reconstructed signals finds the dominant (2,2,0) mode consistent with GR: δf220 = 0.003±0.028 and δτ220 = 0.050^{+0.081}_{-0.086} (90% CI).
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Breaking the Dark Sector Degeneracy with Nonparametric Expansion--Growth Reconstruction
Joint nonparametric expansion–growth reconstruction finds no significant dark-sector interaction or dark-energy dynamics, remaining consistent with ΛCDM over 0≲z≲2.
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Degenerate and connection-dependent cosmological sectors in f(Q,C) gravity
Connection field equations force a degenerate f(R)-equivalent sector of f(Q,C) cosmology in which three geometric connections coincide, and only nonzero integration constants make the connections physically distinct.
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Disentangling modified gravity and galaxy bias with field-level inference
With fixed known initial phases, voxel-by-voxel Poisson likelihood on the galaxy number-counts field breaks the f(R)–bias degeneracy that power spectra cannot resolve, with voids and walls driving the gain.
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Scalarization and descalarization in hyperbolic encounters of black holes
Numerical relativity in the decoupling limit reveals dynamical scalarization and spin-induced (de)scalarization during hyperbolic black hole encounters for both signs of the coupling.
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A solid unification of the dark sector
A generalized Chaplygin-type solid unifies dark matter and dark energy via an early pressureless phase transitioning to a late solid phase that supports acceleration and produces distinct low-redshift perturbation signatures.
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The $\omega$-Effect from a Multimode Squeezed Graviton State
Derives explicit expression for ω in the ω-effect from Takagi supermodes of a squeezed graviton bath produced by an axion cloud around a Kerr black hole.
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Nonrotating and rotating black holes with secondary disformal hair in a ghost-free metric-affine parity-violating scalar-torsion theory
Exact Schwarzschild and Kerr geometries in a disformally related frame yield secondary disformal scalar hair on black holes in a projectively invariant scalar-torsion theory.
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The Coherence Principle: A Falsifiable Prior for Model Selection from the Grammar of Theories
The Coherence Principle supplies a falsifiable prior for Bayesian model selection by converting compatibility with a theory's validated grammar into prior weights via a maximum-entropy exponential controlled by one parameter.
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Curvature-induced scalarization of charged AdS black holes
The Breitenlohner-Freedman bound restricts Gauss-Bonnet scalarization of RN-AdS black holes to a single fundamental branch for 0<η<2.25, with a separate single branch for η<0.
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Unveiling $f(R)$ Gravity with Void-Galaxy Cross-Correlation Multipoles
Void-galaxy cross-correlation multipoles exhibit amplified size-dependent deviations from LCDM in f(R) gravity due to the scalaron fifth force and nonlinear shell dynamics, providing a new probe for modified gravity.
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A connection between Gravitational Scalar-Tensor theories and Generalized Hybrid theories
GST theories linear in □R are dynamically equivalent to generalized hybrid f(R,ℛ) models via a shared Einstein-frame bi-scalar representation that supplies an explicit reconstruction dictionary.
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Model-Independent Reconstruction of Quintessence Potential and Kinetic Energy from DESI DR2 and Pantheon+ Supernovae
Quintessence potential decreases monotonically with redshift while kinetic energy crosses zero near z=1, with negative values at intermediate redshifts being statistical artifacts from derivative reconstruction.
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Revisiting observational constraints on coupled exponential quintessence with energy and momentum transfers: degeneracy with massive neutrinos
Allowing the neutrino mass to vary removes the 2σ evidence for momentum transfer between dark energy and dark matter in coupled quintessence, via a degeneracy with the energy-exchange coupling.
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Lagrangian Identity and Mass Evolution of Particle-like Objects in Nonminimally Coupled Gravity
Nambu-Goto p-branes satisfy L_[p]=T_[p]/(p+1), so their rest mass scales as f2^{-p/(p+1)} under nonminimal matter-geometry coupling in FLRW cosmologies.
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Breathing Black Hole Shadows in Modified Gravity (MOG)
In MOG gravity, gravitational waves would make a black hole's shadow breathe in area and then wobble translationally after a time delay, signatures absent in general relativity.
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Cosmological Averaging in Nonminimally Coupled Gravity
In f(R,T) = R + F(T) gravity, nonlinear F makes the averaged modified term differ from F at averaged T, invalidating the common unity-ratio assumption and giving dust nonzero proper pressure.
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Evidence for deviation in gravitational light deflection from general relativity at cosmological scales with KiDS-Legacy and CMB lensing
KiDS-Legacy weak lensing plus CMB data yields a 3 sigma deviation in light deflection from GR in a Lambda CDM background, with the signal driven by large-scale CMB lensing amplitudes.
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Realizing the phantom-divide crossing with vector and scalar fields
A scalar-vector-tensor dark-energy model crosses the phantom divide at low redshift with no ghost or Laplacian instabilities and growth signatures close to LCDM.
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Neutrino Constraints on Scalar-Tensor Gravity
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Black Hole Spectroscopy and Tests of General Relativity with GW250114
GW250114 data confirm the remnant is consistent with a Kerr black hole and bound the dominant quadrupolar mode frequency to within a few percent of the GR prediction, with constraints tighter than prior multi-event catalogs.
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Quasinormal modes of nonlocal gravity black holes
Quasinormal frequencies of nonlocal gravity black holes deviate from Schwarzschild values by up to about 12%, and the derived bounds on the model parameters α and k depend on projected detector sensitivity.
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Fullshape power spectrum for the Symmetron modified gravity model
Applying the fkPT approximation to the Symmetron model yields a full-shape power spectrum within 1% of full kernels, and an MCMC pipeline recovers ΛCDM parameters from EZMocks.
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Neutron Stars in Causal Scalar-Tensor Theories
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In vacuum flat cosmology, type 1 newer general relativity cannot drive late-time acceleration, while type 2 theories produce either phantom or non-phantom dark energy depending on the sign of one free parameter.
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Geometric formulation of $k$-essence and late-time acceleration
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Nonlocal gravity in a proper tetrad frame: traversable wormholes
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The Regular Ricci-Inverse Cosmology with Multiple Anticurvature Scalars
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A Bright Future? Prospects for Cosmological Tests of GR with Multimessenger Gravitational Wave Events
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DESI 2024 VII: Cosmological Constraints from the Full-Shape Modeling of Clustering Measurements
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A combined fit of galaxy-growth, supernova, and CMB data finds at most a weak 2.2σ hint for scale-dependent suppression of structure growth, with an inconclusive Bayes factor.
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Gravitational wave echoes as probes of the maximum mass of strange stars in quadratic curvature-matter coupled gravity
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Corrections to inflationary models induced by non-minimal coupling between scalar field and curvature
Power-law non-minimal coupling F=(H/λ)^{2n} deforms inflationary potentials, shifts r and n_S while preserving n_T=-r/8 and GR-like reheating, enabling r(1-n_S) classification of models against Planck/ACT data.
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Modeling Uncertainties in Modified Gravity Predictions for the Stochastic Gravitational-Wave Background
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Distance duality relation in symmetric teleparallel gravity
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Extended parameterized spin expansion formalism for ringdown analysis with GW250114
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An Interplay Between Fractional Calculus and Holographic Dark Energy
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Synergy between the gravitational potential decay rate and other structure growth probes in testing gravity
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Rotating traversable wormholes and particle dynamics in $f(R,T)$ gravity
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Effective Constrained Scalar--Gauss--Bonnet Inflation Motivated by $f(R,\mathcal{G})$ Gravity
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Exploring the Dark Sector: Interacting Radiation in Light of Modern Cosmological Probes
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Another Look at the Weak-Field Limit of Generalized Hybrid Metric-Palatini Gravity
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The impact of evolving dark energy on the Weyl potential measured from the Dark Energy Survey Year 3 data
Evolving dark energy models lower the tension in DES Y3 Weyl potential measurements with GR+ΛCDM predictions to 1.6-2.2σ by changing the theoretical background evolution.
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