Rastall cosmology and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi><mml:mi>CDM</mml:mi></mml:math>model

Batista, C.E.M.; Daouda, M. Hamani; Fabris, J. C.; Piattella, Oliver F.; Rodrigues, Davi C.

doi:10.1103/physrevd.85.084008

Cited by 166 publications

(149 citation statements)

References 34 publications

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“…Indeed, this theory reproduces a phenomenological way for distinguishing features of quantum effects in gravitational systems, i.e the violation of the classical conservation laws [24,60,68]. Also, one may find that the condition T μν ;μ = 0 is phenomenologically confirmed by the particle creation process in cosmology [61][62][63][64][69][70][71][72][73]. One also may refer to [74] in favor of the viability of the original Rastall theory and our proposed generalization.…”

Section: Introductionmentioning

confidence: 73%

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A generalization to the Rastall theory and cosmic eras

Moradpour¹,

Heydarzade²,

Darabi³

et al. 2017

Eur. Phys. J. C

127

142

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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: Introductionmentioning

confidence: 73%

“…Moreover, since the particle production process during the cosmos evolution does not respect the energy-momentum conservation law [60][61][62][63][64], the Rastall theory may be considered as a classical background formulation for this phenomenon [69]. Finally, we should mention that Eq.…”

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

127

142

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“…Let us consider a two fluid model, when representing dark matter (and also baryons) and the other the dark energy component under the form of a cosmological term [12]:…”

Section: Application Ii: the Present Universementioning

confidence: 99%

“…Hence, for this model, the so-called kinematical observational tests, based on the dynamics of the background, are satisfied in exactly the same way as in the ΛCDM model. At linear perturbation level, using the standard calculations in the synchronous coordinate condition, we find the following equation for the evolution of the density contrast of the pressureless component [12],…”

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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“…for a vanishing energy-momentum tensor Rastall gravity agrees with General Relativity, this can be seen as a direct implementation of Mach's principle stating that the inertia of a mass distribution should be dependent on the mass and energy of the external space-time [2]. This model has been studied extensively in the context of cosmology [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Abelian–Higgs strings in Rastall gravity

Mello

Fabris

Hartmann

2015

Class. Quantum Grav.

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In this paper we analyze Abelian-Higgs strings in a phenomenological model that takes quantum effects in curved space-time into account. This model, first introduced by Rastall, cannot be derived from an action principle. We formulate phenomenological equations of motion under the guiding principle of minimal possible deformation of the standard equations. We construct string solutions that asymptote to a flat space-time with a deficit angle by solving the set of coupled non-linear ordinary differential equations numerically. Decreasing the Rastall parameter from its Einstein gravity value we find that the deficit angle of the space-time increases and becomes equal to 2π at some critical value of this parameter that depends on the remaining couplings in the model. For smaller values the resulting solutions are supermassive string solutions possessing a singularity at a finite distance from the string core. Assuming the Higgs boson mass to be on the order of the gauge boson mass we find that also in Rastall gravity this happens only when the symmetry breaking scale is on the order of the Planck mass. We also observe that for specific values of the parameters in the model the energy per unit length becomes proportional to the winding number, i.e. the degree of the map S 1 → S 1 . Unlike in the BPS limit in Einstein gravity, this is, however, not connect to an underlying mathematical structure, but rather constitutes a would-be-BPS bound.

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Rastall cosmology and theΛCDMmodel

Cited by 166 publications

References 34 publications

A generalization to the Rastall theory and cosmic eras

A generalization to the Rastall theory and cosmic eras

Rastall’s cosmology and its observational constraints

Abelian–Higgs strings in Rastall gravity

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