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A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
Abstract
view Abstract Citations (2400) References (10) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis. Milgrom, M. Abstract The author considers the possibility that there is not, in fact, much hidden mass in galaxies and galaxy systems. If a certain modified version of the Newtonian dynamics is used to describe the motion of bodies in a gravitational field (of a galaxy, say), the observational results are reproduced with no need to assume hidden mass in appreciable quantities. Various characteristics of galaxies result with no further assumptions. The basis of the modification is the assumption that in the limit of small acceleration a very low a0, the acceleration of a particle at distance r from a mass M satisfies approximately a2/a0 ≈ MGr-2, where a0 is a constant of the dimensions of an acceleration. Publication: The Astrophysical Journal Pub Date: July 1983 DOI: 10.1086/161130 Bibcode: 1983ApJ...270..365M Keywords: Cosmology; Galactic Structure; Nonrelativistic Mechanics; Stellar Motions; Particle Acceleration; Solar System; Astrophysics full text sources ADS |
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“the baryonic Tully-Fisher relation (BTFR): the asymptotic circular speed depends only on the total baryonic mass and a 0, predicting a flat RC independent of radius.”
From The rotation curve of the Milky Way: State of the art, the Keplerian decline debate, and implications for dark matter (2026) · cites this paper as Milgrom (1983)
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Lensing measurements of the ellipticity of luminous red galaxies dark matter haloes
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“This approach has both advantages and disadvantages: on the positive side our method has promise in constraining MOdified Newtonian Dynamics (Milgrom 1983) and related modified gravity theories (Khoury 2015), which rely on the distribution of baryonic matter alone to produce every observable.”
MethodStrong Lensing Probability for Testing TeVeS Theory
Chen, D., & Zhao, H. (2006) · The Astrophysical Journal · doi:10.1086/508612 · Cited by 52
Universal Properties of Dark Matter Halos
Boyarsky, A. M., Neronov, A., Ruchayskiy, O., et al. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.191301 · Cited by 52
Papastergis, E., Adams, E. A. K., & van der Hulst, J. M. (2016) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201628410 · Cited by 52
“…compare our measurement with a representative set of semi-analytic models and hydrodynamic simulations in the ΛCDM context (Trujillo-Gomez et al. 2011; Desmond 2012; Governato et al. 2011; Governato et al. 2012; Brooks & Zolotov 2014; Christensen et al. 2014), as well as with MOND (Milgrom 1983a).”
BackgroundMethodEquilibrium configurations of 11 eV sterile neutrinos in MONDian galaxy clusters
Angus, G. W., Famaey, B., & Diaferio, A. (2009) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2009.15895.x · Cited by 53
Structure of neutron stars in tensor-vector-scalar theory
Lasky, P. D., Sotani, H., & Giannios, D. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.78.104019 · Cited by 51
The Cusp/Core problem: supernovae feedback versus the baryonic clumps and dynamical friction model
Popolo, A. D., & Pace, F. (2016) · Astrophysics and Space Science · doi:10.1007/s10509-016-2742-z · Cited by 51
“Concerning how the Cusp/Core problem could be solved, therear at least two different approaches: a) cosmological solutions, based on a different spectrum atsm ll scales (e.g. Zentner & Bullock 2003), different nature of the dark matter particles (Colı́n et al. 2000; Goodman 2000; Hu et al. 2000; Kaplinghat et al. 2000…”
A unified solution to the small scale problems of the ΛCDM model
Popolo, A. D., Lima, J. A. S., Fabris, J. C., & Rodrigues, D. C. (2014) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2014/04/021 · Cited by 57
The fundamental plane of elliptical galaxies with modified Newtonian dynamics
Sanders, R. H. (2000) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2000.03272.x · Cited by 51
From cusps to cores: a stochastic model
El‐Zant, A. A., Freundlich, J., & Combes, F. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw1398 · Cited by 57
“…dark matter (e.g., Spergel & Steinhardt 2000; Burkert 2000; Kochanek & White 2000; Miralda-Escudé 2002; Peter et al. 2013; Zavala et al. 2013; Elbert et al. 2015), and models that radically change the gravitational law (e.g., Milgrom 1983; Gentile et al. 2011; Famaey & McGaugh 2012).”
BackgroundHaghi, H., Kroupa, P., Banik, I., et al. (2019) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stz1465 · Cited by 51
“In a MOND context, this relation is a consequence of fundamental physics for isolated systems (Milgrom 1983b; McGaugh et al. 2000).”
BackgroundInfluentialUsing globular clusters to test gravity in the weak acceleration regime
Scarpa, R., Marconi, G., & Gilmozzi, R. (2003) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20030762 · Cited by 51
Einstein’s Theory of Gravity and the Problem of Missing Mass
Ferreira, P. G., & Starkman, G. D. (2009) · Science · doi:10.1126/science.1172245 · Cited by 48
Aspects of nonlocality in quantum field theory, quantum gravity and cosmology
Barvinsky, A. O. (2015) · Modern Physics Letters A · doi:10.1142/s0217732315400039 · Cited by 59
“This modification can successfully compete with popular phenomenological mechanisms of infrared modifications, induced, say, by braneworld scenarios with extra dimensions [7, 8, 9] or other models [10, 11].”
BackgroundHaghi, H., Baumgardt, H., Kroupa, P., et al. (2009) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2009.14656.x · Cited by 50
Sanders, R. H. (2008) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2008.13140.x · Cited by 50
Testing Verlinde's emergent gravity with the radial acceleration relation
Lelli, F., McGaugh, S., & Schombert, J. M. (2017) · Monthly Notices of the Royal Astronomical Society Letters · doi:10.1093/mnrasl/slx031 · Cited by 58
“This is analogous to Modified Newtonian Dynamics (MOND, Milgrom 1983), but the theoretical basis of the two theories are markedly different (see Milgrom & Sanders 2016, for a comment).”
MethodThe Polarizations of Gravitational Waves
Gong, Y., & Hou, S. (2018) · Universe · doi:10.3390/universe4080085 · Cited by 50
Nonlocal cosmology II. Cosmic acceleration without fine tuning or dark energy
Deser, S., & Woodard, R. P. (2019) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2019/06/034 · Cited by 56
On testing CDM and geometry-driven Milky Way rotation curve models with Gaia DR2
Crosta, M., Giammaria, M., Lattanzi, M. G., & Poggio, E. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa1511 · Cited by 71
Gravitational lensing in modified Newtonian dynamics
Mortlock, D. J., & Turner, E. L. (2001) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2001.04774.x · Cited by 50
A generic problem with purely metric formulations of MOND
Soussa, M., & Woodard, R. P. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.10.090 · Cited by 49
On the surface density of dark matter haloes
Saburova, A. S., & Popolo, A. D. (2014) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stu1957 · Cited by 48
“This low quantity of DM in the centre of dwarfs has been related by G09 to the “mass discrepancy-acceleration relation” (McGaugh 2004; Milgrom 1983b), and MOND.”
BackgroundTHE OUTSKIRTS OF GLOBULAR CLUSTERS AS MODIFIED GRAVITY PROBES
Hernández, X., & Jiménez, M. A. (2012) · The Astrophysical Journal · doi:10.1088/0004-637x/750/1/9 · Cited by 49
“…require the hypothesis of dark matter, is that as accelerations fall below a0 ≈ 1.2 × 10 −10m/s2, a transition should occur away from Newtonian gravity (e.g. MOND in Milgrom 1983, TeVeS in Bekenstein 2004, QUMOND, BIMOND in Zhao & Famaey 2010, modified Newtonian force law in Mendoza et al. 2011).”
BackgroundInfluentialCould the Pioneer anomaly have a gravitational origin?
Tangen, K. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.042005 · Cited by 49
The properties of energetically unbound stars in stellar clusters
Claydon, I., Gieles, M., & Zocchi, A. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw3309 · Cited by 49
“In modified Newtonian dynamics E-mail: I.claydon@surrey.ac.uk (IC); m.gieles@surrey.ac.uk (MG); a.zocchi@surrey.ac.uk (AZ) (MOND; Milgrom 1983), there is a transition into this regime from Newtonian dynamics if both the acceleration of the GC around the galaxy and the internal acceleration of stars…”
BackgroundHints of modified gravity in cosmos and in the lab?
Perivolaropoulos, L., & Kazantzidis, L. (2019) · International Journal of Modern Physics D · doi:10.1142/s021827181942001x · Cited by 53
“[11] M.”
BackgroundRings and shells of "dark matter'' as mond artifacts
Milgrom, M., & S, R. H. (2008) · University of Groningen research database (University of Groningen / Centre for Information Technology) · Cited by 49
Self-citationVariations in the Width, Density, and Direction of the Palomar 5 Tidal Tails
Bonaca, A., Pearson, S., Price-Whelan, A., Dey, A., Geha, M., Kallivayalil, N., Moustakas, J., Muñoz, R., Myers, A., Schlegel, D., et al. (2019) · Astrophysical Journal · doi:10.3847/1538-4357/ab5afe · Cited by 44
The modified Newtonian dynamics Fundamental Plane
Cardone, V. F., Angus, G. W., Diaferio, A., et al. (2011) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2010.18081.x · Cited by 48
“Motivated by this consideration, Milgrom (1983) proposed to modify Newton’s second law of dynamics as F = mg, where the acceleration g is now related to the Newtonian one gN as gµ(g/a0) = gN .”
MethodCosmological simulations in MOND: the cluster scale halo mass function with light sterile neutrinos
Angus, G. W., Diaferio, A., Famaey, B., & van der Heyden, K. J. (2013) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stt1564 · Cited by 49
“…the standard cosmological model with CDM and pure GR can produce all the relevant phenomenology of galaxies (see Kroupa et al. 2010 for an exhaustive review) with the same success as Milgrom’s Modified Newtonian Dynamics (MOND; Milgrom 1983 and see Famaey & McGaugh 2012 for a detailed review).”
MethodSpherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture
Guo, J.-Q., Wang, D., & Frolov, A. V. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.024017 · Cited by 47
“, inflation, the orbital velocities of galaxies in clusters and the cosmic acceleration, also encourage considerations of new gravitational theories [2, 5, 6, 7, 8, 9, 10].”
BackgroundModified gravity black hole lensing observables in weak and strong field of gravity
Izmailov, R. N., Karimov, R. K., Zhdanov, E. R., et al. (2018) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/sty3350 · Cited by 48
Figure Rotation of Cosmological Dark Matter Halos
Bailin, J., & Steinmetz, M. (2004) · The Astrophysical Journal · doi:10.1086/424912 · Cited by 48
Polar ring galaxies as tests of gravity
Lüghausen, F., Famaey, B., Kroupa, P., et al. (2013) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stt639 · Cited by 47
“These independent occurences of a0 are not at all understood in the standard context, whereas, surprisingly, all these relations can be summarized by the empirical formula of Milgrom (1983).”
BackgroundKlypin, A., & Prada, F. (2008) · The Astrophysical Journal · doi:10.1088/0004-637x/690/2/1488 · Cited by 47
Jeans analysis in modified gravity
Roshan, M., & Abbassi, S. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.044010 · Cited by 47
Field equations and cosmology for a class of nonlocal metric models of MOND
Deffayet, C., Esposito-Farèse, G., & Woodard, R. P. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.064038 · Cited by 54
Anisotropic models for globular clusters, Galactic bulges, and dark halos
Nguyen, P., & Pedraza, J. F. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.064020 · Cited by 47
“Among them, the most popular ones involve certain modification of the laws of gravity, starting with the seminal works [87, 88] and continuing with a large body of work that includes [89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99] and the recent additions [100, 101, 102, 103, 104, 105].”
BackgroundA historical perspective on modified Newtonian dynamics
Sanders, R. H. (2014) · Canadian Journal of Physics · doi:10.1139/cjp-2014-0206 · Cited by 47
A QUMOND galactic N-body code - I. Poisson solver and rotation curve fitting
Angus, G. W., van der Heyden, K. J., Famaey, B., et al. (2012) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2012.20532.x · Cited by 47
“These tighter constraints are of paramount importance for testing alternative theories of gravity, in particular those with no galactic dark matter like Modified Newtonian Dynamics (MOND - Milgrom 1983, but see also Famaey & McGaugh 2011).”
BackgroundOrigin of the Local Group satellite planes
Banik, I., O’Ryan, D., & Zhao, H. (2018) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/sty919 · Cited by 49
“We therefore considered how these observations might be explained in the alternative theory called MOND (Milgrom 1983).”
BackgroundFitting rotation curves of galaxies by de Rham-Gabadadze-Tolley massive gravity
Panpanich, S., & Burikham, P. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.064008 · Cited by 47
Dynamics of the NGC 4636 globular cluster system
Schuberth, Y., Richtler, T., Dirsch, B., et al. (2006) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20053134 · Cited by 47
Marriage à-la-MOND: Baryonic dark matter in galaxy clusters and the cooling flow puzzle
Milgrom, M. (2008) · New Astronomy Reviews · doi:10.1016/j.newar.2008.03.023 · Cited by 53
Self-citationProbable member stars of the gravitational theory-testing globular clusters AM 1, Pal 3 and Pal 14
Hilker, M. (2006) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20054327 · Cited by 47
Black holes surrounded by Einstein clusters as models of dark matter fluid
Jusufi, K. (2023) · The European Physical Journal C · doi:10.1140/epjc/s10052-023-11264-w · Cited by 47
OBSERVING GRAVITATIONAL LENSING EFFECTS BY Sgr A* WITH GRAVITY
Bozza, V., & Mancini, L. (2012) · The Astrophysical Journal · doi:10.1088/0004-637x/753/1/56 · Cited by 50
Radioscience simulations in general relativity and in alternative theories of gravity
Hees, A., Lamine, B., Reynaud, S., Jaekel, M.-T., Poncin-Lafitte, C. L., Lainey, V. J., Füzfa, A., Courty, J.-M., Dehant, V., & Wolf, P. (2012) · Classical and Quantum Gravity · doi:10.1088/0264-9381/29/23/235027 · Cited by 46
“The MOND theory [39] consists in a modification of the gravity law at low acceleration.”
MethodWEAK-LENSING RESULTS FOR THE MERGING CLUSTER A1758
Ragozzine, B., Clowe, D., Markevitch, M., et al. (2011) · The Astrophysical Journal · doi:10.1088/0004-637x/744/2/94 · Cited by 46
Tests of general relativity on astrophysical scales
Uzan, J. (2010) · General Relativity and Gravitation · doi:10.1007/s10714-010-1047-8 · Cited by 62
The link between the baryonic mass distribution and the rotation curve shape
Swaters, R. A., Sancisi, R., van der Hulst, J. M., & van Albada, T. S. (2012) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2012.21599.x · Cited by 47
“We have also explored baryonic scaling in the context of MOND (Milgrom 1983a,b).”
InfluentialDynamics of the NGC 4636 globular cluster system
Schuberth, Y., Richtler, T., Hilker, M., et al. (2012) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201015038 · Cited by 46
Mavromatos, N. E., Sakellariadou, M., & Yusaf, M. F. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.081301 · Cited by 46
Astrophysical Constraints on Modifying Gravity at Large Distances
Aguirre, A. N., Burgess, C. P., Friedland, A., & Nolte, D. R. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 45
Galaxy clusters in the context of superfluid dark matter
Hodson, A. O., Zhao, H., Khoury, J., & Famaey, B. (2017) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201630069 · Cited by 50
“…can be summarised by the radial acceleration relation (McGaugh et al. 2016), which is equivalent to the well-known modified Newtonian dynamics (or MOND) phenomenology for isolated rotationally supported systems (Milgrom 1983a,b,c; Bekenstein & Article number, page 1 of 11 ar X iv :1 61 1.”
MethodThe limitations of inertial frame spacetime functionalism
Read, J. A. M., & Menon, T. (2019) · Synthese · doi:10.1007/s11229-019-02299-2 · Cited by 45
“4.1 TeVeS Our first example concerns Bekenstein’s bimetric TeVeS (‘Tensor-Vector-Scalar’) theory—a relativistic generalisation of the ‘modified Newtonian dynamics’ (MOND) programme in cosmology (Milgrom 1983)—as presented in Bekenstein (2004, 2005), [6].”
BackgroundInfluentialDark matter as a Weyl geometric effect
Burikham, P., Harko, T., Pimsamarn, K., & Shahidi, S. (2023) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.107.064008 · Cited by 45
THE DISKMASS SURVEY. IV. THE DARK-MATTER-DOMINATED GALAXY UGC 463
Westfall, K. B., Bershady, M. A., Verheijen, M. A. W., Andersen, D. R., Martinsson, T. P. K., Swaters, R. A., & Schechtman-Rook, A. (2011) · The Astrophysical Journal · doi:10.1088/0004-637x/742/1/18 · Cited by 54
“…the mass-discrepancy–acceleration relation (McGaugh 2004) is noteworthy; however, it is possible that this is more reflective of the ability of MOND (Milgrom 1983) to fit rotation curves and/or the disk-halo conspiracy than it is of the absolute calibration of these Υ∗ measurements. clear Type…”
BackgroundExtended ΛCDM: generalized non-minimal coupling for dark matter fluids
Bettoni, D., Liberati, S., & Sindoni, L. (2011) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2011/11/007 · Cited by 50
“An alternative proposal to the DM is the well known MOND paradigm [14, 15].”
BackgroundCusps and cores in the presence of galactic bulges
Popolo, A. D., & Hiotelis, N. (2014) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2014/01/047 · Cited by 45
Jejjala, V., Kavic, M., & Minić, D. (2007) · International Journal of Modern Physics A · doi:10.1142/s0217751x07036981 · Cited by 48
Generalizing MOND to explain the missing mass in galaxy clusters
Hodson, A. O., & Zhao, H. (2016) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201629358 · Cited by 45
“Originally, MOND was proposed and introduced as an empirical law in the 1983 Milgrom 1983 papers (Milgrom 1983a), (Milgrom 1983b) and (Milgrom 1983c) by analysing galaxy rotation curves.”
BackgroundMethodInnermost stable circular orbit of Kerr-MOG black hole
Lee, H., & Han, Y.-J. (2017) · The European Physical Journal C · doi:10.1140/epjc/s10052-017-5152-7 · Cited by 44
New explanation for accelerated expansion and flat galactic rotation curves
Sheykhi, A. (2020) · The European Physical Journal C · doi:10.1140/epjc/s10052-019-7599-1 · Cited by 44
HALOGAS: Extraplanar gas in NGC 3198
Gentile, G., Józsa, G. I. G., Serra, P., Heald, G. H., de Blok, W. J. G., Fraternali, F., Patterson, M. T., Walterbos, R. A. M., & Oosterloo, T. A. (2013) · Springer Link (Chiba Institute of Technology) · doi:10.1051/0004-6361/201321116/pdf · Cited by 45
A Philosophical Approach to MOND: Assessing the Milgromian Research Program in CosmologyPreprint
Merritt, D. R. (2020) · PhilSci-Archive (University of Pittsburgh) · doi:10.1017/9781108610926 · Cited by 16
Reconciling MOND and dark matter?
Bruneton, J.-P., Liberati, S., Sindoni, L., & Famaey, B. (2009) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2009/03/021 · Cited by 57
Resolving the timing problem of the globular clusters orbiting the Fornax dwarf galaxy
Angus, G. W., & Diaferio, A. (2009) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2009.14745.x · Cited by 45
Galaxy rotation curves from general relativity with renormalization group corrections
Rodrigues, D. C., Letelier, P. S., & Shapiro, I. L. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/04/020 · Cited by 61
Testing theories of gravity with planetary ephemerides
Fienga, A., & Minazzoli, O. (2024) · Living Reviews in Relativity · doi:10.1007/s41114-023-00047-0 · Cited by 45
Dark energy and dark matter as curvature effects?
Capozzıello, S., Cardone, V. F., & Troisi, A. (2007) · New Astronomy Reviews · doi:10.1016/j.newar.2006.11.036 · Cited by 44
Unifying all mass discrepancies with one effective gravity law?
Zhao, H., & Famaey, B. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.86.067301 · Cited by 44
Testing an exactf(R)-gravity model at Galactic and local scales
Capozziello, S., Piedipalumbo, E., Rubano, C., et al. (2009) · Astronomy and Astrophysics · doi:10.1051/0004-6361/200911992 · Cited by 44
Theoretical Aspects of Gravitational Lensing in TeVeS
Chiu, M., Ko, C., & Tian, Y. (2006) · The Astrophysical Journal · doi:10.1086/498241 · Cited by 44
Galaxy mass models: MOND versus dark matter haloes
Randriamampandry, T. H., & Carignan, C. (2014) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stu100 · Cited by 44
“The standardµ-function is the original form of the interpolating function proposed by Milgrom (1983b) but Zhao & Famaey (2006) found that a simplified form of the interpolating function not only provides good fits to the observed RCs but also the derived mass-to-light ratios are more compatible…”
MethodMOND as a regime of quantum gravity
Smolin, L. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.96.083523 · Cited by 47
Stellar streams as gravitational experiments
Thomas, G. F., Famaey, B., Ibata, R., Lüghausen, F., & Kroupa, P. (2017) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201730531 · Cited by 46
“This hypothesis is known as Modified Newtonian Dynamics (MOND), or Milgromian dynamics (Milgrom 1983), which has predicted all the aforementioned galaxy scaling relations (and pushed observers to look for them), and especially the RAR, well before they were precisely assessed by observations…”
Unified superfluid dark sector
Ferreira, E. G. M., Franzmann, G., Khoury, J., & Brandenberger, R. (2019) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2019/08/027 · Cited by 46
“The MDAR was of course predicted by Milgrom over thirty years ago [28].”
BackgroundDoes a black hole rotate in Chern-Simons modified gravity?
Konno, K., Matsuyama, T., & Tanda, S. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.024009 · Cited by 44
Brane-world black hole solutions via a confining potential
Heydari-Fard, M., Razmi, H., & Sepangi, H. R. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.066002 · Cited by 44
How Rare is the Bullet Cluster?Preprint
Hayashi, E., & White, S. D. M. (2006) · Cited by 44
Three problems about multi-scale modelling in cosmology
Massimi, M. (2018) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2018.04.002 · Cited by 43
“Alternatively, it could be that the appearance of a universal effective force law in galaxy data (the MDAR) is an indication of an actual modification of the force law (MOND: Milgrom, 1983).”
BackgroundMethodReview of Solutions to the Cusp-Core Problem of the ΛCDM Model
Popolo, A. D., & Delliou, M. L. (2021) · Galaxies · doi:10.3390/galaxies9040123 · Cited by 57
Bar formation and evolution in the cosmological context: inputs from the Auriga simulations
Fragkoudi, F., Grand, R. J. J., Pakmor, R., Gómez, F. A., Marinacci, F., & Springel, V. (2025) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staf389 · Cited by 51
Solar system constraints on Rindler acceleration
Carloni, S., Grumiller, D., & Preis, F. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.83.124024 · Cited by 45
Modified gravity approach based on a preferred time foliation
Blanchet, L., & Marsat, S. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.84.044056 · Cited by 43
Reconstructing the gravitational field of the local Universe
Desmond, H., Ferreira, P. G., Lavaux, G., & Jasche, J. (2017) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stx3062 · Cited by 42
“…case of screening described above (in which EP violation is typically effective at the macroscopic level, rather than fundamental at the level of the action), a paradigmatic example of a theory that exploits this gap to violate the EP is Modified Newtonian dynamics (MOND; Milgrom 1983a,b, 1983c).”
BackgroundModel independent constraints on transition redshift
Jesus, J. F., Holanda, R. F. L., & Pereira, S. H. (2018) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2018/05/073 · Cited by 46
The Extremely High Dark Matter Halo Concentration of the Relic Compact Elliptical Galaxy Mrk 1216
Buote, D. A., & Barth, A. J. (2019) · The Astrophysical Journal · doi:10.3847/1538-4357/ab1008 · Cited by 42
“Modified Newtonian Dynamics (MOND) and Radial Acceleration Relation (RAR) We have also interpreted our HE analysis in terms of modified Newtonian dynamics (MOND; Milgrom 1983) to compare to our traditional Newtonian analysis.”
MethodUnified superfluid dark sector
Ferreira, E., Franzmann, G., Khoury, J., & Brandenberger, R. (2019) · MPG.PuRe (Max Planck Society) · Cited by 42
Tests of fundamental quantum mechanics and dark interactions with low-energy neutrons
Sponar, S., Sedmik, R. I. P., Pitschmann, M., Abele, H., & Hasegawa, Y. (2021) · Nature Reviews Physics · doi:10.1038/s42254-021-00298-2 · Cited by 52
Spherical collapse and cluster counts in modified gravity models
Martino, M. C., Stabenau, H. F., & Sheth, R. K. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.084013 · Cited by 44
Can extra-dimensional effects replace dark matter?
Pal, S., Bharadwaj, S., & Kar, S. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.01.043 · Cited by 43
Lelli, F., Zhang, Z.-Y., Bisbas, T. G., Lin, L., Papadopoulos, P. P., Schombert, J. M., Teodoro, E. M. D., Marasco, A., & McGaugh, S. (2023) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202245105 · Cited by 42
Internal kinematics of Gaia DR3 wide binaries: anomalous behaviour in the low acceleration regime
Hernández, X. (2023) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stad2306 · Cited by 42
A simultaneous solution to the Hubble tension and observed bulk flow within 250 h−1 Mpc
Mazurenko, S., Banik, I., Kroupa, P., & Haslbauer, M. (2023) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stad3357 · Cited by 36
Do Newton’s G and Milgrom’s a0 vary with cosmological epoch?
Bekenstein, J. D., & Sagi, E. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.103512 · Cited by 41
POLYTROPIC MODEL FITS TO THE GLOBULAR CLUSTER NGC 2419 IN MODIFIED NEWTONIAN DYNAMICS
Ibata, R., Sollima, A., Nipoti, C., Bellazzini, M., Chapman, S., & Dalessandro, E. (2011) · The Astrophysical Journal · doi:10.1088/0004-637x/743/1/43 · Cited by 46
“However, a very interesting alternative to this possibility, proposed by Milgrom (1983), is that our theory of gravity is incorrect or incomplete.”
Background
Metadata
- Authors
- Milgrom, M.
- Corresponding author
- Milgrom, M.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1983-07
- Volume
- 270
- Pages
- 365
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W1990148897
- Cited by
- 3,316
- References
- 0
- Citations by year
- 2026: 147 · 2025: 181 · 2024: 191 · 2023: 187 · 2022: 155 · 2021: 200 · 2020: 191 · 2019: 165 · 2018: 189 · 2017: 149 · 2016: 146 · 2015: 138 · 2014: 135 · 2013: 122 · 2012: 122
- FWCI
- 6.70
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- The Astrophysical Journal (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Keywords
- MOND, dark matter, galaxy rotation curves, hidden mass, galaxy dynamics, modified gravity
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