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Modified Newtonian equations for gravitational orbits in the expanding universe indicate that local gravitationally bounded systems like galaxies and planetary systems are unaffected by the expansion of the Universe. This result is derived…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Vaclav Vavrycuk

We analytically work out the long-term orbital perturbations induced by the first term of the expansion of the perturbing potential arising from the local modification of the Newton's inverse square law due to a topology R^2 x S^1 with a…

General Relativity and Quantum Cosmology · Physics 2012-04-27 Lorenzo Iorio

Globular clusters (GCs) in the Milky Way have characteristic velocity dispersions that are consistent with the predictions of Newtonian gravity, and may be at odds with Modified Newtonian Dynamics (MOND). We discuss a modified gravity (MOG)…

Astrophysics · Physics 2008-06-14 J. W. Moffat , V. T. Toth

We have recently discovered that the modified dynamics (MOND) implies some universal upper bound on the acceleration that can be contributed by a `dark halo'--assumed in a Newtonian analysis to account for the effects of MOND. Not…

Astrophysics · Physics 2011-02-11 Rafael Brada , Mordehai Milgrom

Vectorial analysis relating to derivation of deflection of light is presented. Curvilinear acceleration is distinguished from the Newtonian polar conic acceleration. The difference between the two is due to the curvature term. Lorentz…

General Physics · Physics 2014-12-09 Vikram H. Zaveri

The possibility that the apparent anomalous acceleration of the Pioneer 10 and 11 spacecraft may be due, at least in part, to a chameleon field effect is examined. A small spacecraft, with no thin shell, can have a more pronounced anomalous…

General Relativity and Quantum Cosmology · Physics 2012-07-24 John D. Anderson , J. R. Morris

It has recently been claimed that measurements of the baryonic Tully-Fisher relation (BTFR), a power-law relationship between the observed baryonic masses and outer rotation velocities of galaxies, support the predictions of modified…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-25 Simon Foreman , Douglas Scott

The gravitation theory is modified on the base of geometric identity and equivalence principle. This makes it possible to generalize the geodesics and solve several problems of classical GRT such as flat rotation curves of the spiral…

General Relativity and Quantum Cosmology · Physics 2009-08-02 Sergey Siparov

The Radial Acceleration Relation (RAR) shows a strong correlation between two accelerations associated to galaxy rotation curves. The relation between these accelerations is given by a nonlinear function which depends on an acceleration…

Astrophysics of Galaxies · Physics 2020-05-12 Valerio Marra , Davi C. Rodrigues , Álefe O. F. de Almeida

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

We give a careful general relativistic and (1+3)-covariant analysis of cosmological peculiar velocities induced by matter density perturbations in the presence of a cosmological constant. In our quasi-Newtonian approach, constraint…

General Relativity and Quantum Cosmology · Physics 2009-11-07 George F R Ellis , Henk van Elst , Roy Maartens

Most rotationally-supported galaxies strictly follow the Baryonic Tully-Fisher Relation (BFTR) linking circular velocity with baryon content. This firmly established empirical relationship is currently thought to have origins in either…

Astrophysics of Galaxies · Physics 2020-04-09 Jeffrey M. La Fortune

We have studied the origin of the Tully-Fisher relation by analysing hydrodynamical simulations in a Lambda-CDM universe. We found that smaller galaxies exhibit lower stellar masses than those predicted by the linear fit to high mass…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-13 Maria E. De Rossi , Patricia B. Tissera , Susana E. Pedrosa

We consider a General Relativistic generalized RW's metric,and find a field of Universal rotational global centripetal acceleration, numerically coincident with the value of the Pioneers Anomalous one.Related subjects are also treated.The…

General Physics · Physics 2012-11-06 Marcelo Samuel Berman , Fernando de Mello Gomide

We investigate galactic rotation curves in $f(T)$ gravity, where $T$ represents a torsional quantity. Our study centers on the particular Lagrangian $f(T)=T+\alpha{T^n}$, where $|n|\neq 1$ and $\alpha$ is a small unknown constant. To do…

Astrophysics of Galaxies · Physics 2018-08-01 Andrew Finch , Jackson Levi Said

Modified Newtonian Dynamics (MoND) is an empirically modification of Newtonian gravity at largest scales in order to explain rotation curves of galaxies, as an alternative to nonbaryonic dark matter. But MoND theories can hardly connect…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-21 Nelson Falcon

Modified Newtonian potentials have been proposed for the description of relativistic effects acting on particles and fluids in permanent orbital motion around black holes. Here we further discuss spherically symmetric potentials like the…

High Energy Astrophysical Phenomena · Physics 2015-06-18 V. Karas , M. A. Abramowicz

Recently it was shown that quantum corrections to the Newton potential can explain the rotation curves in spiral galaxies without introducing the Dark Matter halo. The unique phenomenological parameter $\al\nu$ of the theory grows with the…

General Relativity and Quantum Cosmology · Physics 2011-07-08 C. Farina , W. J. M. Kort-Kamp , Sebastiao Mauro Filho , Ilya L. Shapiro

Previously, in Penner (2016a, 2016b), a theory of gravitational anti-screening was shown to lead naturally to the Baryonic Tully-Fisher Relationship. In addition, it was shown to agree with the observed rotational curve of the Galaxy, the…

Astrophysics of Galaxies · Physics 2017-03-22 A. Raymond Penner

Applying Newtonian dynamics in five dimensions rather than four, to a universe that is closed, isotropic and expanding,suggests that under certain circumstances an additional and previously unidentified acceleration, a_A, can arise…

General Relativity and Quantum Cosmology · Physics 2010-04-12 M. B. Gerrard , T. J. Sumner