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We consider the recently estimated corrections \Delta\dot\varpi to the Newtonian/Einsteinian secular precessions of the longitudes of perihelia \varpi of several planets of the Solar System in order to evaluate whether they are compatible…

General Relativity and Quantum Cosmology · Physics 2008-11-27 Lorenzo Iorio , Matteo Luca Ruggiero

Most of the theories involving extra dimensions assume that only the gravitational interaction can propagate in them. In such approaches, called brane world models, the effective, 4-dimensional, Newton's law is modified at short as well as…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Buisseret , B. Silvestre-Brac , V. Mathieu

In theories with large extra dimensions, constraints from cosmology lead to non-trivial lower bounds on the fundamental scale M_F, corresponding to upper bounds on the radii of the compact extra dimensions. These constraints are especially…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lawrence J. Hall , David Smith

I discuss a novel MOND effect that entails a correction to the dynamics of isolated mass systems even when they are deep in the Newtonian regime: systems whose extent R<<Rm, where Rm=sqrt(GM/a0) is the MOND radius, and M the total mass.…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-24 Mordehai Milgrom

Modified Newtonian Dynamics (MOND), postulating a breakdown of Newtonian mechanics at low accelerations, has considerable success at explaining galaxy kinematics. However, the quadrupole of the gravitational field of the Solar System (SS)…

Astrophysics of Galaxies · Physics 2024-04-23 Harry Desmond , Aurélien Hees , Benoit Famaey

In the past few decades, various versions of modified gravity theories were proposed to mimic the effect of dark matter. Compared with the conventional Newtonian or relativistic dynamics, these theories contain some extra apparent force…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Man Ho Chan , Chak Man Lee

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

Hierarchical three-body systems offer a compelling framework to explore the subtle interplay between Newtonian and relativistic gravitational effects in astrophysical environments. In this work, we investigate post-Newtonian corrections to…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Pietro Farina , Mariafelicia De Laurentis , Hideki Asada , Ivan De Martino , Riccardo Della Monica

Although the (varying power)-law modified gravity toy model has the attractive feature of unifying the early and late-time expansions of the Universe, thanks to the peculiar dependence of the scalar field's potential on the scalar…

General Relativity and Quantum Cosmology · Physics 2015-12-22 Fayçal Hammad

In this paper, we explicitly calculate the aether-like corrections for the electromagnetic field in the case when the space-time involves an extra compact spatial dimension besides of usual four dimensions. Our methodology is based on an…

High Energy Physics - Theory · Physics 2023-06-05 J. Furtado , T. Mariz , J. R. Nascimento , A. Yu. Petrov

We calculate the quantum corrections to the gauge-invariant gravitational potentials of spinning particles in flat space, induced by loops of both massive and massless matter fields of various types. While the corrections to the Newtonian…

High Energy Physics - Theory · Physics 2016-12-13 Markus B. Fröb

We present analytic solutions of Maxwell equations in the internal and external background spacetime of a slowly rotating magnetized neutron star. The star is considered isolated and in vacuum, with a dipolar magnetic field not aligned with…

Astrophysics · Physics 2009-10-31 L. Rezzolla , B. J. Ahmedov , J. C. Miller

We consider quantum mechanical effects of the modified Newtonian potential in the presence of extra compactified dimensions. We develop a method to solve the resulting Schroedinger equation and determine the energy shifts caused by the…

High Energy Physics - Phenomenology · Physics 2011-06-27 E. G. Floratos , G. K. Leontaris , N. D. Vlachos

Motivated by recent work on low energy unification, in this short note we derive corrections on Newton's inverse square law due to the existence of extra decompactified dimensions. In the four-dimensional macroscopic limit we find that the…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. G. Floratos , G. K. Leontaris

Using a fixed-energy amplitude in Randall-Sundrum single brane scenario, we compute the Newton potential on the brane. It is shown that the correction terms to the Newton potential involve a logarithmic factor. Especially, when the distance…

High Energy Physics - Theory · Physics 2009-11-07 D. K. Park , S. Tamaryan

We analyze the rotation curves of 10 spiral galaxies with a newtonian potential corrected with an extra logarithmic term, using a disc modelization for the spiral galaxies. There is a new constant associated with the extra term in the…

Astrophysics · Physics 2009-01-16 J. C. Fabris , J. P. Campos

The general formalism for calculating the Newtonian potential in fine-tuned or critical Randall-Sundrum braneworlds is outlined. It is based on using the full tensor structure of the graviton propagator. This approach avoids the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Petter Callin , Finn Ravndal

We consider class of modified $f(R)$ gravities with the effective cosmological constant epoch at the early and late universe. Such models pass most of solar system tests as well they satisfy to cosmological bounds. Despite their very…

High Energy Physics - Theory · Physics 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov

Numerous experiments and observations have confirmed the existence of a dynamical 3-space, detectable directly by light-speed anisotropy experiments, and indirectly by means of novel gravitational effects, such as bore hole g anomalies,…

General Physics · Physics 2010-11-16 Richard D May , Reginald T Cahill

Building upon previous work that derived an alternative to (galactic) dark matter in the form of Modified Newtonian Dynamics (MOND), with a specific theoretical interpolating function, from the motion of a non-relativistic test particle in…

General Relativity and Quantum Cosmology · Physics 2025-11-20 M. E. Pietrzyk , V. A. Kholodnyi , I. V. Kanattšikov , J. Kozicki