Relativistic gravitation theory for the MOND paradigm

Abstract

The modified newtonian dynamics (MOND) paradigm of Milgrom can boast of a number of successful predictions regarding galactic dynamics; these are made without the assumption that dark matter plays a significant role. MOND requires gravitation to depart from Newtonian theory in the extragalactic regime where dynamical accelerations are small. So far relativistic gravitation theories proposed to underpin MOND have either clashed with the post-Newtonian tests of general relativity, or failed to provide significant gravitational lensing, or violated hallowed principles by exhibiting superluminal scalar waves or an \textit{a priori} vector field. We develop a relativistic MOND inspired theory which resolves these problems. In it gravitation is mediated by metric, a scalar field and a 4-vector field, all three dynamical. For a simple choice of its free function, the theory has a Newtonian limit for nonrelativistic dynamics with significant acceleration, but a MOND limit when accelerations are small. We calculate the $\beta$ and $\gamma$ PPN coefficients showing them to agree with solar system measurements. The gravitational light deflection by nonrelativistic systems is governed by the same potential responsible for dynamics of particles. To the extent that MOND successfully describes dynamics of a system, the new theory's predictions for lensing by that system's visible matter will agree as well with observations as general relativity's predictions made with a dynamically successful dark halo model. Cosmological models based on the theory are quite similar to those based on general relativity; they predict slow evolution of the scalar field. For a range of initial conditions, this last result makes it easy to rule out superluminal propagation of metric, scalar and vector waves.

ReVTeX and 3 eps figures; 34 pages; postpublication replacement with some corrections to Secs.IV.A+C, V and Appendix D (incorporates erratum Phys. Rev. D71, 069901(E) (2005))

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• Determining Cosmology for a Nonlocal Realization of MOND
• Modified Kepler's Law, Escape Speed and Two-body Problem in MOND-like Theories
• Testing MONDian Dark Matter with Galactic Rotation Curves
• Three-dimensional charged Einstein-aether black holes and Smarr formula
• Finslerian MOND vs. observations of Bullet Cluster 1E0657-558
• Radial Acceleration Relation between Baryons and Dark or Phantom Matter in the Super-critical Acceleration Regime of Nearly Spherical Galaxies
• Galactic rotation curves in brane world models
• Structure formation on the brane: A mimicry
• Aether scalar tensor theory: Linear stability on Minkowski space
• Scalars, Vectors and Tensors from Metric-Affine Gravity
• Spin-orbit effects for compact binaries in scalar-tensor gravity
• Torsion in string-inspired cosmologies and the universe dark sector
• Some Aspects of Virtual Black Holes
• The Cosmological Constant Problem, an Inspiration for New Physics
• A Decisive test to confirm or rule out the existence of dark matter emulators using gravitational wave observations
• The Milky Way's rotation curve with superfluid dark matter
• The velocity field in MOND cosmology
• Dark matter, and its darkness
• Instabilities in the nonsymmetric theory of gravitation
• An Elementary Canonical Classical and Quantum Dynamics for General Relativity
• Phenomenology of Dark Matter via a Bimetric Extension of General Relativity
• Vector field and rotational curves in dark galactic halos
• General virial theorem for modified-gravity MOND
• Inflation and accelerated expansion TeVeS cosmological solutions
• Testing quasilinear modified Newtonian dynamics in the Solar System
• Gravitational Lenses in Generalized Einstein-Aether theory: the Bullet Cluster
• Generalized virial theorem in Palatini $f(R)$ gravity
• Conformal Gravity: Dark Matter and Dark Energy
• Confronting MOND and TeVeS with strong gravitational lensing over galactic scales: an extended survey
• Modifying Gravity: You Can't Always Get What You Want
• Debye entropic force and modified Newtonian dynamics
• Observing Dark Matter via the Gyromagnetic Faraday Effect
• Testing general relativity with compact-body orbits: A modified Einstein-Infeld-Hoffmann framework
• The Gravitational Wave Stress-Energy (pseudo)-Tensor in Modified Gravity
• Distant star clusters of the Milky Way in MOND
• The Train Wreck Cluster Abell 520 and the Bullet Cluster 1E0657-558 in a Generalized Theory of Gravitation
• Extended disformal approach in the scenario of Rainbow Gravity
• Kerr Metric, Geodesic Motion, and Flyby Anomaly in Fourth-Order Conformal Gravity
• Strong gravitational lensing in $f\left(\chi \right)={\chi }^{3/2}$ gravity
• Challenges for Lambda-CDM and MOND
• The holographic screen at low temperatures
• Strong lensing probability in TeVeS theory
• Mass of Galactic Lenses in Modified Newtonian Dynamics
• Global Deep-MOND Parameter as a Theory Discriminant
• Testing MOND with Local Group spiral galaxies
• Scalar Fields Near Compact Objects: Resummation versus UV Completion
• Dark Matter Superfluidity
• The Geometry Of Modified Newtonian Dynamics
• Evidence for the Fifth Element Astrophysical status of Dark Energy
• A mission to test the Pioneer anomaly: estimating the main systematic effects
• Brane-$f(R)$ gravity and dark matter
• Wave propagation and shock formation in the most general scalar-tensor theories
• Is the Universe Simpler than LCDM?
• Mass-Temperature relation in $\Lambda$CDM and modified gravity
• A fluid os strings as a viable candidate to the dark side of the universe
• Precision Cosmology: Successes and Challenges
• Black hole accretion in scalar-tensor-vector gravity
• Large scale distribution of total mass versus luminous matter from Baryon Acoustic Oscillations: First search in the SDSS-III BOSS Data Release 10
• Newtonian Fractional-Dimension Gravity and MOND
• Extended galactic rotational velocity profiles in $f(R)$ gravity background
• Tripotential MOND theories
• Cosmological evolution of interacting dark energy in Lorentz violation
• Tensor-vector-scalar-modified gravity: from small scale to cosmology
• Back-in-time dynamics of the cluster IE 0657-56 (the Bullet System)
• Intrinsic and Extrinsic curvatures in Finsler-esque spaces
• Effect of transitions in the Planck mass during inflation on primordial power spectra
• Cosmological nonlinear structure formation in full general relativity
• Indistinguishable Macroscopic Behaviour of Palatini Gravities and General Relativity
• Estimating the weak-lensing rotation signal in radio cosmic shear surveys
• On the gravitational instability in the Newtonian limit of MOG
• Constraints on a MOND effect for isolated aspherical systems in deep Newtonian regime from orbital motions
• The luminosity-redshift relation in brane-worlds: I. Analytical results
• TeVeS/MOND is in harmony with gravitational redshifts in galaxy clusters
• Testing General Relativity with LISA including Spin Precession and Higher Harmonics in the Waveform
• Imprints of deviations from the gravitational inverse-square law on the power spectrum of mass fluctuations
• The thickness of HI in galactic discs under MOND: theory and application to the Galaxy
• A universal velocity dispersion profile for pressure supported systems: evidence for MONDian gravity across 7 orders of magnitude in mass
• Testing MOG, Non-Local Gravity and MOND with rotation curves of dwarf galaxies
• Exact cosmological solutions for MOG
• Can Dark Matter be an artifact of extended theories of gravity?
• FRW cosmology in Milgrom's bimetric theory of gravity
• A tensor theory of space-time as a strained material continuum
• $f(Q,L_m)$ gravity, and its cosmological implications
• Nonlinearities in modified gravity cosmology I: signatures of modified gravity in the nonlinear matter power spectrum
• Induced geometry from disformal transformation
• The Cosmology of a Universe with Spontaneously-Broken Lorentz Symmetry
• TASI 2014 Lectures: The Hunt for Dark Matter
• Testing MOdified Gravity (MOG) theory and dark matter model in Milky Way using the local observables
• Nonhomogeneous Cooling, Entropic Gravity and MOND Theory
• Disformally Coupled Quintessence
• Charged particle motions near non-Schwarzschild black holes with external magnetic fields in modified theories of gravity
• A useful guide for gravitational wave observers to test modified gravity models
• Dynamical system analysis of cosmological evolution in the Aether scalar tensor theory
• Fourth Order Gravity, Scalar-Tensor-Vector Gravity, and Galaxy Rotation Curves
• Spherical Collapse in Modified Newtonian Dynamics (MOND)
• The Pioneer Anomaly: Seeking an explanation in newly recovered data
• Gravitational orbits in the expanding universe revisited
• MONDian three-body predictions for LISA Pathfinder
• Slowly Rotating Relativistic Stars in Tensor-Vector-Scalar Theory
• Delta-gravity and Dark Energy
• Substructure lensing in galaxy clusters as a constraint on low-mass sterile neutrinos in tensor-vector-scalar theory: The straight arc of Abell 2390
• Majorana neutrino mass matrix with CP symmetry breaking
• On the disformal invariance of the Dirac equation
• Gravity with Perturbative Constraints: Dark Energy Without New Degrees of Freedom
• Emergence of fractal cosmic space from fractional quantum gravity
• Thermodynamics and phase transitions of galactic clustering in higher-order Modified Gravity
• Constraining gravity with a new precision $E_G$ estimator using Planck + SDSS BOSS
• Dark Matter, Modified Gravity and the Mass of the Neutrino
• The D-material universe
• On Bianchi type III Cosmological Model with Quadratic EoS in Lyra Geometry
• Self-consistent models of triaxial galaxies in MOND gravity
• Axionic extension of the Einstein-aether theory
• The phase space analysis of modified gravity (MOG)
• A cosmological dust model with extended f(chi) gravity
• Modeling the formation of galaxy clusters in MOND
• Testing Alternative Theories of Dark Matter with the CMB
• Stability and Quasinormal Modes of Black holes in Tensor-Vector-Scalar theory: Scalar Field Perturbations
• Testing the tensor-vector-scalar Theory with the latest cosmological observations
• Consequences of the external field effect for MOND disk galaxies in galaxy clusters
• Relativistic Khronon Theory in agreement with Modified Newtonian Dynamics and Large-Scale Cosmology
• MOND cosmology from entropic force
• Dynamics of Elliptical Galaxies with Planetary Nebulae in Modified Newtonian Dynamics
• MOND vs. Newtonian dynamics in early-type galaxies. The case of NGC 4649 (M60)
• Dipolar Dark Matter as an Effective Field Theory
• Theoretical bounds on dark matter masses
• Milky Way and M31 rotation curves: $\Lambda$CDM vs. MOND
• Galactic orbital motions in the Dark Matter, MOdified Newtonian Dynamics and MOdified Gravity scenarios
• Axisymmetric equilibrium models for magnetised neutron stars in Scalar-Tensor Theories
• Perturbations of Keplerian Orbits in Stationary Spherically Symmetric Spacetimes
• Constraining gravitational-wave polarizations with Taiji
• Is Gravitational Lensing by Intercluster Filaments Always Negligible?
• Covariant Equations of Motion of Extended Bodies with Arbitrary Mass and Spin Multipoles
• MOND orbits in the Oort cloud
• MOND-like acceleration in integrable Weyl geometric gravity
• The ground-state of General Relativity, Topological Theories and Dark Matter
• Physics of galactic colliders: high speed satellites in LCDM vs MONDian cosmology
• Baryon-Interacting Dark Matter: heating dark matter and the emergence of galaxy scaling relations
• Galaxy rotation curves. The theory
• Cosmological Dynamics of Relativistic MOND
• Sedna and the cloud of comets surrounding the Solar System in Milgromian dynamics
• An alternative to the dark matter paradigm: relativistic MOND gravitation
• Foundations of a theory of quantum gravity
• A thin disk in higher dimensional space-time and dark matter interpretation
• Dressed black holes in the new tensor-vector-scalar theory
• Cosmological signature change in Cartan Gravity with dynamical symmetry breaking
• Gravitomagnetic effects in conformal gravity
• Dark matter as a dynamic effect due to a non-minimal gravitational coupling with matter
• Testing the Newton second law in the regime of small accelerations
• Stringy Models of Modified Gravity: Space-time defects and Structure Formation
• Comparing the dark matter models, modified Newtonian dynamics and modified gravity in accounting for the galaxy rotation curves
• Einstein-Aether Theory
• Birkhoff's theorem fails to save MOND from non-local physics
• A novel MOND effect in isolated high-acceleration systems
• Whether Lyra's Manifold Itself is a Hidden Source of Dark Energy
• Second-order matter fluctuations via higher-order galaxy correlators
• Emergent Modified Gravity
• Can TeVeS be a viable theory of gravity?
• Transient Weak-Lensing by Cosmological Dark Matter Microhaloes
• Self-gravitating Equilibria of Non-minimally Coupled Dark Matter Halos
• Modified Gravity: living without Birkhoff I. DGP
• Time evolution of the local gravitational parameters and gravitational wave polarizations in a relativistic MOND theory
• Does Planck mass run on the cosmological horizon scale?
• Cosmology of the Galileon extension of Bekenstein's theory of relativistic Modified Newtonian Dynamics
• Repulsive gravity model for dark energy
• Halo Acceleration Relation
• Mass Discrepancy-Acceleration Relation in Einstein Rings
• Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
• Global stability of self-gravitating disks in modified gravity
• Classical Duals, Legendre Transforms and the Vainshtein Mechanism
• Dark Matter in Fractional Gravity I: Astrophysical Tests on Galactic Scales
• Empirical Evidence of Non-Minimally Coupled Dark Matter in the Dynamics of Local Spiral Galaxies?
• Mimicking general relativity in the solar system
• Conformally and Disformally Coupled Vector field Models of Dark Energy
• Phenomenology of MOND and gravitational polarization
• Gravitational constant in multiple field gravity
• Structure Formation in Nonlocal MOND
• Post-Newtonian parameters in the tensor-vector-scalar theory
• The Dark Matter Constraints on the Left-Right Symmetric Model with Z_2 Symmetry
• MOND as the weak field limit of an extended metric theory of gravity with a matter-curvature coupling
• Predictions for the sky-averaged depth of the 21cm absorption signal at high redshift in cosmologies with and without non-baryonic cold dark matter
• Is dark matter an extra-dimensional effect?
• Testing Modified Dark Matter with Galaxy Clusters: Does Dark Matter know about the Cosmological Constant?
• Compact binary systems in Einstein-Aether gravity: Direct integration of the relaxed field equations to 2.5 post-Newtonian order
• Classification of Gravitational Waves in Higher-dimensional Space-time and Possibility of Observation
• Superradiant (In)stability, Greybody Radiation, and Quasinormal Modes of Rotating Black Holes in non-linear Maxwell f (R) Gravity
• Testing gravity with interstellar precursor missions
• Galaxy Rotation Curves via Conformal Factors
• Dark matter, a new proof of the predictive power of general relativity
• Testing MOG theory in the Milky Way
• The Parameterized Post-Newtonian-Vainshteinian formalism for the Galileon field
• Bianchi type-V Transitioning model in Brans-Dicke theory with Observational Constraint
• MOND as the weak field limit of an extended metric theory of gravity with torsion
• Gravitational waves from inspiraling black holes in quadratic gravity
• Tightening weak lensing constraints on the ellipticity of galaxy-scale dark matter haloes
• A simple model for explaining Galaxy Rotation Curves
• Testing Modified Gravity theory (MOG) with Type Ia Supernovae, Cosmic Chronometers and Baryon Acoustic Oscillations
• Godel Type Metrics in Einstein-Aether Theory II: Nonflat Background in Arbitrary Dimensions
• Non-Newtonian mathematics instead of non-Newtonian physics: Dark matter and dark energy from a mismatch of arithmetics
• Satellite Test of the Equivalence Principle as a Probe of Modified Newtonian Dynamics
• The B-L Phase Transition: Implications for Cosmology and Neutrinos
• Testing alternative theories of gravity with space-based gravitational wave detectors
• A relativistic description of MOND using the Palatini formalism in an extended metric theory of gravity
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• Gravitational waves in Brans-Dicke Theory with a cosmological constant
• MOND reveals the thermodynamics of gravity
• Acausality in Superfluid Dark Matter and MOND-like Theories
• Cosmology in doubly coupled massive gravity: constraints from SNIa, BAO and CMB
• An extension of the cosmological standard model with a bounded Hubble expansion rate
• MONDian dynamical modeling of NGC 288 with $\beta \ne 0$
• Approaching the Dark Sector through a bounding curvature criterion
• Cosmology in Delta-Gravity
• Aether scalar tensor theory: Hamiltonian Formalism
• What do gas-rich galaxies actually tell us about modified Newtonian dynamics?
• Detection of gravitational wave mixed polarization with single space-based detectors
• Galaxy-galaxy lensing data: $f(T)$ gravity challenges General Relativity
• Scalar-tensor black holes in an expanding universe
• Challenges for Emergent Gravity
• Theoretically motivated dark electromagnetism as the origin of relativistic MOND
• Unifying static analysis of gravitational structures with a scale-dependent scalar field gravity as an alternative to dark matter
• A first-order approach to conformal gravity
• Singular Hamiltonians in models with spontaneous Lorentz symmetry breaking
• On the separation between baryonic and dark matter: evidence for phantom dark matter?
• Novel Screening with Two Bodies: Summing the ladder in disformal scalar-tensor theories
• Toroidal oscillations of slowly rotating relativistic star in tensor-vector-scalar theory
• Ultra faint dwarf galaxies: an arena for testing dark matter versus modified gravity
• Gravitational Cherenkov losses in MOND theories
• A modern view of galaxies and their stellar populations
• Torsional oscillations in tensor-vector-scalar theory
• Formal analogies between gravitation and electrodynamics
• Modified Gravitational Equations on Braneworld with Lorentz Invariant Violation
• Ground-states for the liquid drop and TFDW models with long-range attraction
• ΛCDM with baryons vs. MOND: the time evolution of the universal acceleration scale in the Magneticum simulations
• Brownian Motion of Stars, Dust, and Invisible Matter
• Multimetric extension of the PPN formalism: experimental consistency of repulsive gravity
• Polarization modes of gravitational waves in general Einstein-vector theory
• Testing modified gravity with motion of satellites around galaxies
• Observational Constraints on the Modified Gravity Model (MOG) Proposed by Moffat: Using the Magellanic System
• Dispersion relation and surface gravity of universal horizons
• Can $\Lambda$CDM model reproduce MOND-like behavior?
• Dwarf Galaxies, MOND, and Relativistic Gravitation
• Galaxy Bulges As Tests of CDM vs MOND in Strong Gravity
• A Cusp-Core like challenge for Modified Newtonian Dynamics
• Cosmology of fermionic dark matter
• Helium preenrichment in the star-forming regions
• Galaxy rotation curve in hyperconical universes: a natural relativistic MOND
• MONDified Gravity
• The Volume of the Past Light-Cone and the Paneitz Operator
• Is the physics within the Solar system really understood?
• Possible relation between galactic flat rotational curves and the Pioneers' anomalous acceleration
• Cosmic ray backgrounds for dark matter indirect detection
• The Diffuse Light of the Universe - On the microwave background before and after its discovery: open questions
• Could the Lyra manifold be the hidden source of the dark energy?
• Turbulence-induced deviation between baryonic field and dark matter field in the spatial distribution of the Universe
• The Tully-Fisher's law and Dark Matter effects derived via modified symmetries
• Towards the explanation of flatness of galaxies rotation curves
• Causal Modifications of Gravity and Their Observational Bounds
• Dark Energy from the Fifth Dimension
• Probing modified Newtonian dynamics with hypervelocity stars
• Reproducing the asymptotic behaviour of galaxy rotation curves by a novel constraint in general relativity
• Emergent gravity fails to explain color-dependent galaxy-galaxy lensing signals from SDSS Dr7
• Linear cosmological perturbations in Scalar-tensor-vector gravity
• Investigating Dark Matter and MOND Models with Galactic Rotation Curve Data
• Halos of Modified Gravity
• Towards an explanation of orbits in the extreme trans-Neptunian region: The effect of Milgromian dynamics
• Randers geometry as MOND/dark matter
• Gravitational deflection of light in Rindler-type potential as a possible resolution to the observations of Bullet Cluster 1E0657-558
• Dark energy density predicted and explained
• The Cosmology of Asymmetric Brane Modified Gravity
• Dark matter from cosmic defects on galactic scales?
• Instantaneous interaction in massive gravity
• Summary of session A4 at the GRG18 conference: Alternative Theories of Gravity
• Minimally modified gravity with auxiliary constraints formalism
• Constraints and degrees of freedom in Lorentz-violating field theories
• A Phase Space Diagram for Gravity
• Cosmological Principle in Newtonian Dynamics
• Bondi Accretion in the Spherically Symmetric Johannsen-Psaltis Spacetime
• A Possible Late Time $\Lambda$CDM-like Background Cosmology in Relativistic MOND Theory
• Dipolar dark matter simulations on galaxy scales with the RAMSES code
• Laser interferometer response to scalar massive gravitational waves
• Two-body problem in theories with kinetic screening
• Broader view of bimetric MOND
• A Higher Dimensional Cosmological Model for the Search of Dark Energy Source
• Exact semianalytical calculation of rotation curves with Bekenstein-Milgrom nonrelativistic MOND
• Non-Gaussianity in the Cosmic Microwave Background Induced by Dipolar Dark Matter
• The Pioneer anomaly and the holographic scenario
• External Field Effect in Gravity
• On the gravitational stability of the Maclaurin disk
• Constraining MOND Using the Vertical Motion of Stars in the Solar Neighborhood
• Clusters of galaxies in a Weyl geometric approach to gravity
• Gravity, Cartan geometry, and idealized waywisers
• Is it possible to relate MOND with Horava Gravity?
• Quantum Gravity and Dark Matter
• Black Hole Dynamics in Power-law based Metric $f(R)$ Gravity
• The environmental effects in the origin of angular momenta of galaxies
• Off-shell Dark Matter: A Cosmological relic of Quantum Gravity
• Alternative proposal to modified Newtonian dynamics
• Strong lensing constraints on modified gravity models
• An f(R) model for dark matter: rotation curves and gravitational lensing
• Perfect fluid dark matter: a viability test with galaxy rotation curves
• The distinguishing factor for gravity models: stellar population synthesis
• Stealth black holes in Aether Scalar Tensor theory
• Gravitational anomalies signaling the breakdown of classical gravity
• Cosmological extrapolation of MOND
• Thermodynamics of Non-Commutative Scalar-Tensor-Vector Gravity Black holes
• A Critique of Covariant Emergent Gravity
• Notes on several phenomenological laws of quantum gravity
• Prospects of constraining on the polarizations of gravitational waves from binary black holes using space- and ground-based detectors
• On the constraint equations in Einstein-aether theories and the weak gravitational field limit
• Dark Energy, scalar-curvature couplings and a critical acceleration scale
• Results from PAMELA, ATIC and FERMI : Pulsars or Dark Matter ?
• Disformal invariance of continuous media with linear equation of state
• Using global positioning systems to test extensions of General Relativity
• Consistency of $f(R)$ gravity models around solar polytropes
• Oscillating cosmological force modifies Newtonian dynamics
• Ricci-Determinant Gravity: Dynamical Aspects and Astrophysical Implications
• Quasi-linear static solutions in massive gravity
• The initial value problem of scalar-tensor theories of gravity
• A scalar field inducing a non-metrical contribution to gravitational acceleration and a compatible add-on to light deflection
• Gas expulsion in MOND: the possible origin of diffuse globular clusters and ultra-faint dwarf galaxies
• Weak-field approximation of effective gravitational theory with local Galilean invariance
• A new constant behind the rotational velocity of galaxies
• Simulations of cluster ultra-diffuse galaxies in MOND
• Dark Coincidences: Small-Scale Solutions with Refracted Gravity and MOND
• Saddle stresses for generic theories with a preferred acceleration scale
• Dark Matter phenomenology : from simplified WIMP models to refined alternative solutions
• Parameterised free functions and saddle stresses in modified gravity
• Revisiting metric perturbations in tensor-vector-scalar theory
• An introduction to the physics of Cartan gravity
• An Accelerating Universe without Lambda: Delta~Gravity Using Monte Carlo
• Time delays across saddles as a test of modified gravity
• Space and time ambiguities in vacuum electrodynamics
• Influence of dark matter on gravitational stability of isothermal gas clouds
• Prospects for a local detection of dark matter with future missions to Uranus and Neptune
• Can Massive Gravity Explain the Mass Discrepancy - Acceleration Relation of Disk Galaxies?
• Big Bang Nucleosynthesis constraints on the Energy-Momentum Squared Gravity: The ${\mathbb{T}}^2$ model
• Current tests of alternative gravity theories: the Modified Newtonian Dynamics case
• Buchdahl bound, photon ring, ISCO and radial acceleration in Einstein-æther theory
• Relativistic MOND from Modified Energetics
• Why did the dark matter hypothesis supersede modified gravity in the 1980s?
• Cluster formation and the Sunyaev-Zel'dovich power spectrum in modified gravity: the case of a phenomenologically extended DGP model
• The spacetime structure of MOND with Tully-Fisher relation and Lorentz invariance violation
• Distribution of Phantom Dark Matter in Dwarf Spheroidals
• Contemplating the fate of modified gravity
• Power-law solutions for TeVeS
• Consistent cosmological structure formation on all scales in relativistic extensions of MOND
• Resolving Puzzles of Massive Gravity with and without violation of Lorentz symmetry
• Higher derivative gravity with spontaneous symmetry breaking: Hamiltonian analysis of new covariant renormalizable gravity
• From disformal electrodynamics to exotic spacetime singularities
• Dark matter effect attributed to the inherent structure of cosmic space
• Can MONDian vector theories explain the cosmic speed up ?
• Quantum Effects on Cosmic Scales as an Alternative to Dark Matter and Dark Energy
• Sudden cosmological singularities in Aether scalar-tensor theories
• Extending cosmology: the metric approach
• Testing Cotton gravity as dark matter substitute with weak lensing
• Constraining light fermionic dark matter with binary pulsars
• APSIS - an Artificial Planetary System in Space to probe extra-dimensional gravity and MOND
• Neutrino Lorentz invariance violation from the CPT-even SME coefficients through a tensor interaction with cosmological scalar fields
• Cosmological implications of the Gaia Milky Way declining rotation curve
• Modified Newtonian Dynamics (MOND) as a Modification of Newtonian Inertia
• Approach of background metric expansion to a new metric ansatz for gauged and ungauged Kaluza-Klein supergravity black holes
• MUSE-DARK III: The evolution of the radial acceleration relation at intermediate redshifts
• Ultralocal energy density in massive gravity
• Options for a nondedicated mission to test the Pioneer anomaly
• End of a Dark Age?
• N-body self-consistent stars-halo modeling of the Fornax dwarf galaxy
• Gravitational lensing due to dark matter modelled by vector field
• Modified Einstein-Cartan Gravity and its Implications for Cosmology
• Generalized virial theorem in warped DGP brane-world
• Classical Tests of General Relativity: Probing Topologically Charged Black Holes on Brane Worlds in f(R) Bulk
• Non-vacuum relativistic extensions of MOND using metric theories of gravity with curvature-matter couplings and their applications to the accelerated expansion of the Universe without dark components
• Alleviating the Hubble tension with Torsion Condensation (TorC)
• Comment on "The Real Problem with MOND" by Scott Dodelson, arXiv:1112.1320
• Hubble Diagrams in the Jordan and Einstein Frames
• MOND-like behavior in the Dirac-Milne universe -- Flat rotation curves and mass/velocity relations in galaxies and clusters
• Unified Brane Gravity: Cosmological Dark Matter from Scale Dependent Newton Constant
• A new paradigm for the dynamics of the early Universe
• Modified Inertia as Nonconservative Newtonian Dynamics
• General relativity and cosmology
• Impacts of Perfect Fluid Dark Matter on Spacetime Geometry -- the Exponential Metric
• The need for a nonlocal expansion in general relativity
• The Atacama Cosmology Telescope: A Test of the Gravitational Force Law on Cosmological Scales Using the Kinematic Sunyaev-Zeldovich Effect
• Gravitational Waves and Electromagnetic Transients
• Three-Body Problem in Modified Dynamics
• Mach Principle and a new theory of gravitation
• Bounding the Cosmological Constant using Galactic Rotation Curves from the SPARC Dataset
• Generalization of Rindler Potential at Cluster Scales in Randers-Finslerian Spacetime: a Possible Explanation of the Bullet Cluster 1E0657-558?
• Impact of nuclear structure from shell model calculations on nuclear responses to WIMP elastic scattering for ${}^{19}$F and ${}^{nat}$Xe targets
• Modified Newtonian Dynamics and Induced gravity
• Quark-Novae Ia in the Hubble diagram: Implications For Dark Energy
• Linearized Lorentz-Violating Gravity and Discriminant Locus in the Moduli Space of Mass Terms
• Dark matter: A phenomenological existence proof
• Modified gravitational collapse, or the wonders of the MOND
• On the hypotheses of Penrose's singularity theorem under disformal transformations
• Probing Modified Gravity with Entanglement of Microspheres
• Central MONDian spike in spherically symmetric systems
• Principle action for particles faster than light
• Phenomenology of the Higgs at the hadron colliders: from the Standard Model to Supersymmetry
• Self-Interactions in the Spacetime of a Scalar-Tensor Cosmic String
• Dipolar Dark Matter and Cosmology
• Tests of Modified Gravity Theories in the Solar System
• GravitoMagnetic Force in Modified Newtonian Dynamics
• Les composantes obscures de l'Univers
• Searching for MOND in scalar-tensor theories of gravity
• Dark Matter in the Central Region of the Spiral Galaxy NGC 4321
• Metric Expansion from Microscopic Dynamics in an Inhomogeneous Universe
• Disk galaxies and their dark halos as self-organized patterns
• Gravity of Cosmological Perturbations in the CMB
• Pattern dark matter and galaxy scaling relations
• Post-Newtonian properties of EMRI with Power Law Potential
• Spacetime expansion in the presence of a background velocity field
• Supporting Abstract Relational Space-Time as Fundamental without Doctrinism against Emergence
• MOND via Matrix Gravity
• Fast particle-mesh code for Milgromian dynamics
• Observational Constraints on Chaplygin Gas Models in Non-Minimally Coupled Power Law $f(Q)$ Gravity with Quasars
• Terrestrial Sagnac delay in scalar-tensor-vector-gravity
• Test of conformal gravity as an alternative to dark matter from the observations of elliptical galaxies
• Refracted Gravity Solutions from Small to Large Scales
• Testing QUMOND theory with Galactic globular clusters in a weak external field
• Absence of gravitational polarization mechanism in the canonical bimetric theory
• Around MOND: Lagrangians, Hubble Equations, Perturbations and External Field Effect
• A Null Test of the Metric Nature of the Cosmic Acceleration
• Recovering the fundamental plane of galaxies by $f(R)$ gravity
• Notes on f(R) Theories of Gravity
• Data Analysis Methods for Testing Alternative Theories of Gravity with LISA Pathfinder
• The "Graviton Picture": a Bohr Model for Gravitation on Galactic Scales?
• Merging Galaxy Clusters and the Search for New Physics of Dark Matter: A Review
• Machian MOND: a variable $a_0$ in galaxy clusters
• The modified Newtonian dynamics with an extra anti-dissipation term can yield the MOND model
• Mass distribution of highly flattened galaxies and modified Newtonian dynamics
• Tests of scalar polarizations with multi-messenger events
• Bimetric MOND as a framework for variable-$G$ theories -- local systems and cosmology
• Finslerian MOND versus the Strong Gravitational Lensing of the Early-type Galaxies
• The LTP Experiment on LISA Pathfinder: Operational Definition of TT Gauge in Space
• Does the Cosmological Expansion Change Local Dynamics?
• Geodesics in Quantum Gravity
• Introduction of the generalized Lorenz gauge condition into the vector-tensor theory
• Screening Solutions in Modified Gravity Theories
• Machian gravity and a cosmology without dark matter and dark energy
• Probing single-field inflation: predictions, constraints, and theoretical viewpoints
• Modified Newtonian Dynamics as an extra dimensional effect
• Distinct radial acceleration relations of galaxies and galaxy clusters supports hyperconical modified gravity
• Linearized Treatment of Scalar perturbations in the Asymptotic Cosmological Model
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling
• Effect of bulk Lorentz violation on anisotropic brane cosmologies
• Constraints on a cubic Galileon disformally coupled to Standard Model matter
• The motion of stars in galaxies and the gravitational time dilatation
• Extragalactic Searches for Dark Matter Annihilation
• A Modified Mass Concept could explain both the Dark Matter and the Dark Energy Phenomenon
• The Effects of Gravitational Slip on the Higher-Order Moments of the Matter Distribution
• Matrix theory of gravitation
• Cosmic topology affects dynamics
• Constraining the MOdified Newtonian Dynamics from spherically symmetrical hydrodynamic accretion
• An Underlying Geometrical Manifold for Hamiltonian Mechanics
• Local Inertial Coordinate System and The Principle of Equivalence
• On the flat galactic rotational curves in $f(\mathcal{R})$ gravity
• Point-like source solutions in modified gravity with a critical acceleration
• Constraints on Energy Conditions in $f(R,L_m)$ Gravity
• The total mass of the early-type galaxy NGC 4649 (M60)
• What is the amount of baryonic dark matter in galaxies?
• Cosmological Asymptotics in Higher-Order Gravity Theories