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