Modified Newtonian Gravity as an Alternative to the Dark Matter Hypothesis

Acedo, L.

doi:10.3390/galaxies5040074

Cited by 16 publications

(22 citation statements)

References 49 publications

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“…To apply the model in Equation ( 14) we need a postulate for the length scale parameter, β. This was already suggested by Acedo [69] in connection with a similar modified gravity model for the rotational curves of galaxies. The expression for β corresponding to a point source was postulated to take the form:…”

Section: Modified Newtonian Gravitysupporting

confidence: 65%

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Modified Newtonian Gravity, Wide Binaries and the Tully-Fisher Relation

Acedo

2020

Universe

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A recent study of a sample of wide binary star systems from the Hipparcos and Gaia catalogues has found clear evidence of a gravitational anomaly of the same kind as that appearing in galaxies and galactic clusters. Instead of a relative orbital velocity decaying as the square root of the separation, ΔV∝r−1/2, it was shown that an asymptotic constant velocity is reached for distances of order 0.1 pc. If confirmed, it would be difficult to accommodate this breakdown of Kepler’s laws within the current dark matter (DM) paradigm because DM does not aggregate in small scales, so there would be very little DM in a 0.1 pc sphere. In this paper, we propose a simple non-Newtonian model of gravity that could explain both the wide binaries anomaly and the anomalous rotation curves of galaxies as codified by the Tully-Fisher relation. The required extra potential can be understood as a Klein-Gordon field with a position-dependent mass parameter. The extra forces behave as 1/r on parsec scales and r on Solar system scales. We show that retrograde anomalous perihelion precessions are predicted for the planets. This could be tested by precision ephemerides in the near future.

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Section: Modified Newtonian Gravitysupporting

confidence: 65%

“…He proposed that it should be replaced by a force decreasing inversely with distance to the source instead of the inverse square [64]. Similar models were developed by Tohline [65], Kuhn & Kruglyak [66] and, more recently, by other authors [67][68][69].…”

Section: Introductionmentioning

confidence: 96%

Modified Newtonian Gravity, Wide Binaries and the Tully-Fisher Relation

Acedo

2020

Universe

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“…The anomalous rotation curves of the galaxies have been invoked as a convincing proof of the existence of a new kind of matter that not couples to electromagnetic radiation and, consequently, is called dark matter. Anyway, many authors propose that a modified theory of gravity may account for these anomalies without invoking any kind of dark matter [51][52][53][54][55]. For all these reasons, it is not far-fetched to believe that General Relativity could be an incomplete theory, and not only in the sense that it remains inconsistent with quantum theory, but even from a purely classical point of view.…”

Section: Discussionmentioning

confidence: 99%

Angular Momentum and Energy Transfer in a Whitehead's Theory of Gravity

Acedo¹

2018

Preprint

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In this paper, we revisit a modified version of the classical Whitehead's theory of gravity in which all possible bilinear forms are considered to define the corresponding metric. Although, this is a linear theory that fails to give accurate results for the most sophisticated predictions of general relativity, such as gravity waves, it can still provide a convenient framework to analyze some new phenomena in the Solar System. In particular, recent development in the accurate tracking of spacecraft and the ephemerides of planetary positions have revealed certain anomalies in relation with our standard paradigm for celestial mechanics. Among them the so-called flyby anomaly and the anomalous increase of the astronomical unit play a prominent role. In the first case the total energy of the spacecraft changes during the flyby and a secular variation of the semi-major axis of the planetary orbits is found in the second anomaly. For this to happen it seems that a net energy and angular momentum transfer is taken place among the orbiting and the central body. We evaluate the total transfer per revolution for a planet orbiting the Sun in order to predict the astronomical unit anomaly in the context of Whitehead's theory. This could lead to a more deeply founded hypothesis for an extended gravity model.

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“…Other similar models that also try to modify Newton's Law of Gravity by adding additional term are mostly done arbitrarily with the aim of tting the model to the observed data and even reconciling it with dark matter hypothesis. See [6] for dierent types of such models as examples. These non-Newtonian law of gravity approaches, according to [6], ``Although... an old idea that could appear rudimentary...and it is mostly abandoned in modern literature, we think that a reconsideration of this approach could motivate further research in the area of modied gravity theories."…”

Section: Modied Newtonian Gravitymentioning

confidence: 99%

“…See [6] for dierent types of such models as examples. These non-Newtonian law of gravity approaches, according to [6], ``Although... an old idea that could appear rudimentary...and it is mostly abandoned in modern literature, we think that a reconsideration of this approach could motivate further research in the area of modied gravity theories." On the other hand, the most commonly used approach in introducing a new theory of gravity nowadays is to generalize the Einstein-Hilbert action, S = √ −gRd 4 x, by imposing additional parameters into the action, such as scalar, vector, tensor and spinor elds for the purpose of making the action conformally invariant and to produce eld equations that might explain the dark energy and dark matter problems.…”

Section: Modied Newtonian Gravitymentioning

confidence: 99%

Information Theory of Gravity

Abanto¹

2021

Preprint

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A new model of gravity is presented here similar to the earlier work of Verlinde on Emergent Gravity but without the use of thermodynamic assumptions. The theory does not use the main assumption of Verlinde on the nature of gravity as an entropic force using the First Law of Thermodynamics. Moreover, it does not use the Equipartition Theorem such that there is no need to define a thermal bath enclosed within a holographic screen. Instead of Equipartition Theorem, the theory uses $E=NE_{p}$, for the total energy of a massive object where $E_{p}$ is the Planck Energy while $N$ is the number of Planck Energy to represent the maximum possible density of information that can reside in matter. The theory uses also the Holographic Principle as the basis for an information-theoretic approach to the nature of gravity. It is shown here that gravity emerges whenever there is an updating of the information within a given volume of space by the presence of matter.

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Modified Newtonian Gravity as an Alternative to the Dark Matter Hypothesis

Cited by 16 publications

References 49 publications

Modified Newtonian Gravity, Wide Binaries and the Tully-Fisher Relation

Modified Newtonian Gravity, Wide Binaries and the Tully-Fisher Relation

Angular Momentum and Energy Transfer in a Whitehead's Theory of Gravity

Information Theory of Gravity

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