Solar System Tests of Some Models of Modified Gravity Proposed to Explain Galactic Rotation Curves without Dark Matter

We study some possible observational signatures of R n gravity at Galactic scales and how these signatures could be used for constraining this type of fðRÞ gravity. For that purpose, we performed twobody simulations in the R n gravity potential and analyzed the obtained trajectories of S2-like stars around the Galactic center, as well as the resulting parameter space of the R n gravity potential. Here, we discuss the constraints on R n gravity which can be obtained from the observations of orbits of S2-like stars with the present and next generations of large telescopes. We make comparisons between the theoretical results and observations. Our results show that the most probable value for the parameter r c in the R n gravity potential in the case of S2-like stars is $100 AU, while the universal parameter is close to 0.01. Also, the gravity potential induces the precession of S2-like star orbits in the opposite direction with respect to general relativity; therefore, such a behavior of orbits is qualitatively similar to the behavior of Newtonian orbits with a bulk distribution of matter (including a stellar cluster and dark matter distributions).

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“…Iorio and Ruggiero [17]), as well as on both potential parameters and r c . This is indeed the case for % 1 in Eq.…”

Section: B Angle Of Orbital Precession In R N Gravitymentioning

confidence: 97%

Constraints onRngravity from precession of orbits of S2-like stars

Borka

Jovanović

et al. 2012

Phys. Rev. D

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“…It worths to mention that a logarithmic potential yielding a 1 r extra-force, has been considered in [36,37] in which it was applied to the Solar System. For circular orbits since − → F = v 2 r for a unit mass particle, this yields the velocity function as…”

Section: B Pure Magnetic Solution and Modified Mk Metricmentioning

confidence: 99%

Modified Rindler acceleration as a nonlinear electromagnetic effect

Halilsoy

Gürtuğ

Mazharimousavi

2015

Astroparticle Physics

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The model proposed originally by Mannheim and Kazanas for fitting the shapes of galactic rotation curves has recently been considered by Grumiller to describe gravity of a central object at large distances. Herein we employ the same geometry within the context of nonlinear electrodynamics (NED). Pure electrical NED model is shown to generate the novel Rindler acceleration term in the metric which explains anomalous behaviors of test particles / satellites. Remarkably a pure magnetic model of NED yields flat rotation curves that may account for the missing dark matter. Weak and Strong Energy conditions are satisfied in such models of NED.

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“…It yields the following perihelion precession (Iorio, 2008) Capozziello et al (2007) applied Eq. (29) to a sample of 15 low surfaces brightness galaxies with combined HI and Hα measurements of the rotation curve extending in the putative dark matter dominated region.…”

Section: F (R) Gravitymentioning

confidence: 99%

“…To accommodate some recently observed phenomena (Riess et al, 1998;Perlmutter, 1999;Cole, 2005;Tegmark, 2006;Spergel, 2003Spergel, , 2007Clowe et al, 2006;Anderson et al, 1998Anderson et al, , 2002, occurring at very different scales ranging from Solar system to cosmological distances, which at present, have not yet found fully satisfactorily explanations in terms of conventional physics, gravitation or not, (Bertolami et al, 2006;Bertolami, 2008;Lammerzahl et al, 2008), we considering modifications of the standard laws of gravity at different scales; As well as done in recent years. These anomalous effects are: The recent data coming from the luminosity distance of SuperNovae Ia (SNeIa) (Riess et al, 1998), wide galaxy surveys (Cole, 2005) and the anisotropy of cosmic microwave background radiation (Spergel, 2003(Spergel, , 2007 suggest that about 70 percent of the energy density of the present universe is composed by dark energy, responsible for an accelerating expansion.…”

Section: Introductionmentioning

confidence: 99%

A well-behaved f(R) gravity model in planetary motions

Hashemi¹,

Saffari²

2011

Planetary and Space Science

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a b s t r a c tIn this paper we consider asymptotic behavior of a hybrid action of f(R) gravity model which proposed by Saffari and Rahvar (2008), in the Solar system scale, which can explain Pioneer anomalous acceleration. We use the resultant weak field gravitational potential which comes from the hybrid action to test its impacts on the Solar system dynamics, by comparing theoretical precession of perihelion of a test particle, _ $, with corrections to the standard Newtonian-Einstenian precessions of perihelia of some planets, which recently estimated by Pitjeva (2005aPitjeva ( ,b, 2006Pitjeva ( , 2008. Here we show that the asymptotic behavior of hybrid action is in more accordance with observation relative to the other modifications such as power law and logarithmic corrections (Iorio, 2008). We also show that an extra additional lensing of the prediction of General Relativity is reproduced. Finally we consider the stability condition of planetary orbits in the presence of the hybrid action.

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Solar System Tests of Some Models of Modified Gravity Proposed to Explain Galactic Rotation Curves without Dark Matter

Cited by 15 publications

References 34 publications

Constraints onRngravity from precession of orbits of S2-like stars

Constraints onRngravity from precession of orbits of S2-like stars

Modified Rindler acceleration as a nonlinear electromagnetic effect

A well-behaved f(R) gravity model in planetary motions

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