Modified Newton's gravity in Finsler space as a possible alternative to dark matter hypothesis

Chang, Zhe; Li, Xin

doi:10.1016/j.physletb.2008.09.010

Cited by 84 publications

(106 citation statements)

References 20 publications

(24 reference statements)

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“…We observe a very pleasing symmetrical structure in (9,10,3) under the exchange between x µ and p µ .…”

Section: Introductionmentioning

confidence: 80%

“…It is important to keep in mind that J µν = x µ p ν − x ν p µ , as defined before, and one way of computing (15) is to convert J µν to the canonical coordinates by using the Darboux map (9). Obviously J µν has a non-canonical structure in X − P (canonical) space:…”

Section: Particle Lagrangian: First-order Formmentioning

confidence: 99%

“…Einstein's gravity. For example, the flat rotation curves of spiral galaxies can be deduced naturally without invoking dark matter [9] and the anomalous acceleration in solar system observed by Pioneer 10 and 11 spacecrafts can be accounted for [10].…”

Section: Introductionmentioning

confidence: 99%

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Non-commutative spacetime in very special relativity

2011

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Very Special Relativity (VSR) framework, proposed by Cohen and Glashow [1], demonstrated that a proper subgroup of the Poincaré group, (in particular ISIM(2)), is sufficient to describe the spacetime symmetries of the so far observed physical phenomena. Subsequently a deformation of the latter, DISIM b (2), was suggested by Gibbons, Gomis and Pope [2].In the present work, we introduce a novel Non-Commutative (NC) spacetime structure, underlying the DISIM b (2). This allows us to construct explicitly the DISIM b (2) generators, consisting of a sector of Lorentz rotation generators and the translation generators. Exploiting the Darboux map technique, we construct a point particle Lagrangian that lives in the NC phase space proposed by us and satisfies the modified dispersion relation proposed by Gibbons et. al. [2]. It is interesting to note that in our formulation the momentum algebra becomes non-commutative.

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“…We observe a very pleasing symmetrical structure in (9,10,3) under the exchange between x µ and p µ .…”

Section: Introductionmentioning

confidence: 80%

Section: Particle Lagrangian: First-order Formmentioning

confidence: 99%

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Non-commutative spacetime in very special relativity

2011

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“…It means that the Minkowski spacetime well describes the physics in solar system. It may be expected that the Finsler gravity (26) domains in large scale. The empirical Tully-Fisher relation [8] between galaxy luminosity and rotational speed implies that the rotational speed of galaxy has a limitation.…”

Section: The Newtonian Limit In Finsler Spacetimementioning

confidence: 99%

Spacetime structure of MOND with Tully-Fisher relation and Lorentz invariance violation

Li¹,

Chang²

2013

Chinese Phys. C

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It is believed that the modification of Newtonian dynamics (MOND) is possible alternate for dark matter hypothesis. Although Bekenstein's TeVeS supplies a relativistic version of MOND, one may still wish a more concise covariant formulism of MOND. In this paper, within covariant geometrical framwork, we present another version of MOND. We show the spacetime structure of MOND with properties of Tully-Fisher relation and Lorentz invariance violation.PACS numbers: 95.35.+d, 04.25.Nx

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“…Also, in the framework of Finsler geometry, the flat rotation curves of spiral galaxies can be deduced naturally without invoking dark matter [13]. Special relativity in Randers (a special kind of Finsler space) [14] has been investigated [15].…”

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confidence: 99%

Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit

Li¹,

Chang²

2011

Chinese Phys. C

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Kinematics in Finsler space is investigated. It is showed that the result based on the kinematics with a special Finsler structure is in good agreement with the reported value of secular trend in the astronomical unit, dAU/dt = 15 ± 4[m/century]. The space deformation parameter λ in this special structure is very small with scale of 10 −6 and should be a constant. This fact is consistent with the reported value of an anomalous secular eccentricity variation of the Moon's orbit.

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Modified Newton's gravity in Finsler space as a possible alternative to dark matter hypothesis

Cited by 84 publications

References 20 publications

Non-commutative spacetime in very special relativity

Non-commutative spacetime in very special relativity

Spacetime structure of MOND with Tully-Fisher relation and Lorentz invariance violation

Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit

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