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The Modified Newtonian Dynamics (MOND) generically predicts a violation of the strong version of the equivalence principle. As a result the gravitational dynamics of a system depends on the external gravitational field in which the system…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-01 Luc Blanchet , Jerome Novak

We propose a new approach to test possible corrections to Newtonian gravity using solar physics. The high accuracy of current solar models and new precise observations allow one to constrain corrections to standard gravity at unprecedented…

Solar and Stellar Astrophysics · Physics 2011-12-30 Jordi Casanellas , Paolo Pani , Ilídio Lopes , Vitor Cardoso

We review the case for testing preferred acceleration scale theories of gravity (sometimes falling under the guise of MOdified Newtonian Dynamics) in the Solar System using the forthcoming LISA Pathfinder (LPF) mission. Using a combination…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Ali Mozaffari

The Modified Newtonian Dynamics (MOND) has been formulated as a modification of the Poisson equation for the Newtonian gravitational field. This theory generically predicts a violation of the strong version of the equivalence principle, and…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-26 Luc Blanchet , Jerome Novak

The predictions of General relativity (GR) are in good agreement with observations in the solar system. Nevertheless, unexpected anomalies appeared during the last decades, along with the increasing precision of measurements. Those…

General Relativity and Quantum Cosmology · Physics 2014-09-16 B. Lamine , J. -M. Courty , S. Reynaud , M. -T. Jaekel

The missing gravity in galaxies requires dark matter, or alternatively a modification of gravity or inertia. These theoretical possibilities of fundamental importance may be distinguished by the statistical relation between the observed…

Astrophysics of Galaxies · Physics 2022-12-21 Kyu-Hyun Chae

Dark matter or modifications of the Newtonian inverse-square law in the solar-system are studied with accurate planetary astrometric data. From extra-perihelion precession and possible changes in the third Kepler's law, we get an upper…

Astrophysics · Physics 2009-11-11 M. Sereno , Ph. Jetzer

The nonsymmetric gravitational theory predicts an acceleration law that modifies the Newtonian law of attraction between particles. For weak fields a fit to the flat rotation curves of galaxies is obtained in terms of the mass…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We review recent developments in modified gravity theories, focusing on higher dimensional approaches and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Bhuvnesh Jain , Justin Khoury

The modified gravitational theory by Hajdukovic [arXiv:1210.7421], based on the idea that quantum vacuum contains virtual gravitational dipoles, predicts, among other things, anomalous secular precessions of the planets of the Solar System…

General Physics · Physics 2019-08-09 Lorenzo Iorio

We apply the modified acceleration law obtained from Einstein gravity coupled explaining galaxy rotation curves without exotic dark matter. Our sample of galaxies includes low surface brightness (LSB) and high surface brightness (HSB)…

Astrophysics · Physics 2016-08-30 J. R. Brownstein , J. W. Moffat

I tentatively compile the formal uncertainties in the secular rates of change of the orbital elements $a,~e,~I,~\Omega$ and $\varpi$ of the planets of the solar system from the recently released formal errors in $a$ and the nonsingular…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Lorenzo Iorio

Galaxy rotation curves determined observationally out to a radius well beyond the galaxy cores can provide a critical test of modified gravity models without dark matter. The predicted rotational velocity curve obtained from…

Astrophysics of Galaxies · Physics 2015-03-05 J. W. Moffat , V. T. Toth

Building on previous work, we re-examine the possibility of testing MOdified Newtonian Dynamics near the saddle points of gravitational potentials in the Solar System, through an extension of the forthcoming LISA Pathfinder mission. We…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-24 Ali Mozaffari

A modified form of non-locally corrected theory of gravity is investigated in the context of cosmology and the Newtonian limit. This form of non-local correction to classic Einstein-Hilbert action can be locally represented by a…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Dao-Jun Liu , Bin Yang , Xing-Hua Jin

The gravitational dipole theory of Hadjukovic (2010) is based on the hypothesis that antimatter has a negative gravitational mass and thus falls upwards on Earth. Astrophysically, the model is similar to but more fundamental than Modified…

Earth and Planetary Astrophysics · Physics 2020-06-12 Indranil Banik , Pavel Kroupa

We investigate the long-distance, low-energy, leading quantum corrections to gravitational potential for scalarized neutron star (NS) binary systems, by treating general relativity as an effective field theory. We neglect the extended…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Jing Wang

We present an analysis of a devised sample of Rotation Curves (RCs), aimed at checking the consequences of a modified f(R) gravity on galactic scales. Originally motivated by the the dark energy mystery, this theory may serve as a…

Astrophysics · Physics 2008-11-26 Christiane Frigerio Martins , Paolo Salucci

A viable alternative to the dark energy as a solution of the cosmic speed up problem is represented by Extended Theories of Gravity. Should this be indeed the case, there will be an impact not only on cosmological scales, but also at any…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 V. F. Cardone , S. Capozziello

Mindful of the anomalous perihelion precession of Mercury discovered by U. Le Verrier in the second half of the nineteenth century and its successful explanation by A. Einstein with his General Theory of Relativity in the early years of the…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Lorenzo Iorio