A cosmological dust model with extended f(χ) gravity

Carranza, Diego A.; Mendoza, S.; Torres, Luis A.

doi:10.1140/epjc/s10052-013-2282-4

Cited by 21 publications

(28 citation statements)

References 18 publications

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“…This is in fact what has been shown to occur with some f (χ) extended gravity options tailored to reproduce observed galactic dynamics in the absence of dark matter , which also yield agreement with the observed SN Hubble plot (Carranza et al 2013). Both metrics treated here are idealisations, we have shown that the proposed geometric condition is consistent with empirical inferences for spacetimes at both limits.…”

Section: Consistency Of Constant Bounding Curvature With Inferred Spasupporting

confidence: 84%

Approaching the Dark Sector through a bounding curvature criterion

Hernández

Sussman

Nasser

2018

Monthly Notices of the Royal Astronomical Society

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Understanding the observations of dynamical tracers and the trajectories of lensed photons at galactic scales within the context of General Relativity (GR), requires the introduction of a hypothetical dark matter dominant component. The onset of these gravitational anomalies, where the Schwarzschild solution no longer describes observations, closely corresponds to regions where accelerations drop below the characteristic a 0 acceleration of MOND, which occur at a well established mass-dependent radial distance, R c ∝ (GM/a 0 ) 1/2 . At cosmological scales, inferred dynamics are also inconsistent with GR and the observed distribution of mass. The current accelerated expansion rate requires the introduction of a hypothetical dark energy dominant component. We here show that for a Schwarzschild metric at galactic scales, the scalar curvature, K, multiplied by (r 4 /M ) at the critical MOND transition radius, r = R c , has an invariant value of κ B = K(r 4 /M ) = 28Ga 0 /c 4 . Further, assuming this condition holds for r > R c , is consistent with the full spacetime which under GR corresponds to a dominant isothermal dark matter halo, to within observational precision at galactic level. For a FLRW metric, this same constant bounding curvature condition yields for a spatially flat spacetime a cosmic expansion history which agrees with the ΛCDM empirical fit for recent epochs, and which similarly tends asymptotically to a de Sitter solution. Thus, a simple covariant purely geometric condition identifies the low acceleration regime of observed gravitational anomalies, and can be used to guide the development of extended gravity theories at both galactic and cosmological scales.

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Section: Consistency Of Constant Bounding Curvature With Inferred Spasupporting

confidence: 84%

Approaching the Dark Sector through a bounding curvature criterion

Hernández

Sussman

Nasser

2018

Monthly Notices of the Royal Astronomical Society

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“…The problem with action (1) is that it can only be applied in regions sufficiently far from the sources that produce the gravitational field, in order to approximate the system as a point mass source. There is however a cosmological attempt by Carranza, Mendoza, and Torres [16] in which the mass M was thought of as the causal mass for a particular observer in the cosmic flow, yielding a good description of an accelerated expansion of the universe without the introduction of dark matter and/or energy.…”

Section: Introductionmentioning

confidence: 99%

MOND as the weak field limit of an extended metric theory of gravity with a matter-curvature coupling

Barrientos¹,

Mendoza²

2018

Phys. Rev. D

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In this article we construct an extended relativistic f (R) theory of gravity with matter-curvature couplings F (R, Lmatt) for which its weak field limit of approximation recovers the simplest version of MOND. We do this by (a) performing an order of magnitude approach and (b) by perturbing the resulting field equations of the theory to the weakest field limit of approximation. We also compute the geodesic equation of the resulting theory and show that it has an extra force, a fact that commonly appears in general matter-curvature couplings.

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“…The f (χ) theory explains not only the flattening of rotation curves, but the correct bending angle of light for gravitational lensing in individual, groups and clusters of galaxies [23]. However, this proposal possess a mathematical inconvenient since the coupling constant L M has an explicit mass dependence and so, it makes this proposal non-local (there is however a mathematical way to deal with this caveat as explained by Carranza, Mendoza, and Torres [24], Mendoza [25]). As such, the f (χ) action must not to be seen as a complete theory but as a particular case of a more general idea.…”

Section: Introductionmentioning

confidence: 99%

MOND as the weak field limit of an extended metric theory of gravity with torsion

Barrientos

Mendoza

2017

Eur. Phys. J. Plus

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In this article we construct a relativistic extended metric theory of gravity, for which its weak field limit reduces to the non-relativistic MOdified Newtonian Dynamics regime of gravity. The theory is fully covariant and local. The way to achieve this is by introducing torsion in the description of gravity as well as with the addition of a particular function of the matter lagrangian into the gravitational action.

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A cosmological dust model with extended f(χ) gravity

Cited by 21 publications

References 18 publications

Approaching the Dark Sector through a bounding curvature criterion

Approaching the Dark Sector through a bounding curvature criterion

MOND as the weak field limit of an extended metric theory of gravity with a matter-curvature coupling

MOND as the weak field limit of an extended metric theory of gravity with torsion

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