Observational constraints on Rastall’s cosmology

Batista, C.E.M.; Fabris, J. C.; Piattella, Oliver F.; Velasquez-Toribio, A. M.

doi:10.1140/epjc/s10052-013-2425-7

Cited by 64 publications

(62 citation statements)

References 49 publications

(68 reference statements)

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“…Therefore, because λ is constant and the R(4κ λ − 1) = κ T condition applies to all spacetimes and energy-momentum sources, the κ λ = 1 4 case is not allowed [23]. More studies on the various aspects of this theory can be found in [74,[77][78][79][80][81][82][83][84][85][86][87][88][89][90].…”

Section: A Brief Review On the Rastall Theorymentioning

confidence: 99%

A generalization to the Rastall theory and cosmic eras

Moradpour¹,

Heydarzade²,

Darabi³

et al. 2017

Eur. Phys. J. C

118

138

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A generalized version for the Rastall theory is proposed showing the agreement with the cosmic accelerating expansion. In this regard, a coupling between geometry and the pressureless matter fields is derived which may play the role of dark energy, responsible for the current accelerating expansion phase. Moreover, our study also shows that the radiation field may not be coupled to the geometry in a non-minimal way which represents that the ordinary energymomentum conservation law is respected by the radiation source. It is also shown that the primary inflationary era may be justified by the ability of the geometry to couple to the energy-momentum source in an empty flat FRW universe. In fact, this ability is independent of the existence of the energymomentum source and may compel the empty flat FRW universe to expand exponentially. Finally, we consider a flat FRW universe field by a spatially homogeneous scalar field evolving in potential V(φ), and study the results of applying the slow-roll approximation to the system which may lead to an inflationary phase for the universe expansion.

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Section: A Brief Review On the Rastall Theorymentioning

confidence: 99%

A generalization to the Rastall theory and cosmic eras

Moradpour¹,

Heydarzade²,

Darabi³

et al. 2017

Eur. Phys. J. C

118

138

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“…We first present the evolution equation of the matter perturbations of first order within the sub-horizon scale, then we study the evolution of growth index of matter perturbations for this model. Following [11,12], we consider the perturbed metric with synchronous gauge given bȳ…”

Section: Analysis Of Growth Index Of Matter Perturbationsmentioning

confidence: 99%

“…On using the perturbed metric (26) in this model, we get ν = 1 and µ =γ + (γ + 3(2 −γ) wx) δx δm ρx ρm , (29) where δ x = δρx ρx . For a detailed and complete perturbed equations of this model, one can see [11,12]. In order to obtain the quantity µ, we first need to determine the functional form of δx δm .…”

Section: Analysis Of Growth Index Of Matter Perturbationsmentioning

confidence: 99%

Linear growth index of matter perturbations in Rastall gravity

Khyllep

Dutta

2019

Physics Letters B

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Rastall gravity theory shows notable features consistent with physical observations in comparison to the standard Einstein theory. Recently, there has been a debate about the equivalence of Rastall gravity and general relativity.Motivated by this open issue, in the present work, we attempt to shed some light on this debate by analyzing the evolution of the Rastall based cosmological model at the background as well as perturbation level. Employing the dynamical system techniques, we found that at late times, the dynamics of the model resembles the ΛCDM model at the background level irrespective of the choice of Rastall's parameter. However, at the perturbation level, we found that the evolution of the growth index heavily depends on the Rastall's parameter and displays a significant deviation from the ΛCDM model. arXiv:1907.09221v1 [gr-qc]

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“…Let us consider the same structure as before but with a more general equation of state for the dark energy component [13]:…”

Section: Application Ii: the Present Universementioning

confidence: 99%

Rastall’s cosmology and its observational constraints

Fabris

Piattella

Rodrigues

et al. 2015

AIP Conference Proceedings

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The Rastall's theory is a modification of General Relativity touching one of the cornestone of gravity theory: the conservation laws. In Rastall's theory, the energy-momentum tensor is not conserved anymore, depending now on the gradient of the Ricci curvature. In this sense, this theory can be seen as a classical implementation of quantum effects in a curved background space-time. We exploit this structure in order to reproduce some results of an effective theory of quantum loop cosmology. Later, we propose a model for the dark sector of the universe. In this case, the corresponding ΛCDM model appears as the only model consistent with observational data.

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Observational constraints on Rastall’s cosmology

Cited by 64 publications

References 49 publications

A generalization to the Rastall theory and cosmic eras

A generalization to the Rastall theory and cosmic eras

Linear growth index of matter perturbations in Rastall gravity

Rastall’s cosmology and its observational constraints

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