Nonminimal Derivative Coupling and the Recovering of Cosmological Constant

Capozziello, Salvatore; Lambiase, Gaetano

doi:10.1023/a:1026631531309

Cited by 130 publications

(121 citation statements)

References 18 publications

(26 reference statements)

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“…(1) have been widely studied in the literature in a cosmological and astrophysical context. [43][44][45][46][47] In cosmology, usually, they have been used to explain inflation and dark energy problems. However, recently these models have been discarded in the context of dark energy, since they predict a variable GW speed at low redshift (which is contrary to the gravitational waves measurements lately realized 19,20 ).…”

Section: The Modelmentioning

confidence: 99%

Constant-roll inflation driven by a scalar field with nonminimal derivative coupling

Oliveros

Noriega

2019

Int. J. Mod. Phys. D

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In this work, we study constant-roll inflation driven by a scalar field with non-minimal derivative coupling to gravity, via the Einstein tensor. This model contains a free parameter, η, which quantifies the non-minimal derivative coupling and a parameter α which characterize the constant-roll condition. In this scenario, using the Hamilton-Jacobi-like formalism, an ansatz for the Hubble parameter (as a function of the scalar field) and some restrictions on the model parameters, we found new exact solutions for the inflaton potential which include power-law, de Sitter, quadratic hilltop and natural inflation, among others. Additionally, a phase space analysis was performed and it is shown that the exact solutions associated to natural inflation and a "cosh-type" potential, are attractors.

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Section: The Modelmentioning

confidence: 99%

Constant-roll inflation driven by a scalar field with nonminimal derivative coupling

Oliveros

Noriega

2019

Int. J. Mod. Phys. D

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“…One character of the two new terms is to modulate gravitational strength with a free canonical kinetic term without either scalar field potential V (φ) or Λ. This results in an effective cosmological constant and hence effectively giving de-Sitter expansion [58]. The conditions for which de-Sitter expansion is a late time attractor are given in [57].…”

Section: Non-minimal Derivative Coupling Theorymentioning

confidence: 99%

Non-minimal derivative coupling gravity in cosmology

Gumjudpai

Rangdee

2015

Gen Relativ Gravit

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We give a brief review of the non-minimal derivative coupling (NMDC) scalar field theory in which there is non-minimal coupling between the scalar field derivative term and the Einstein tensor. We assume that the expansion is of power-law type or super-acceleration type for small redshift. The Lagrangian includes the NMDC term, a free kinetic term, a cosmological constant term and a barotropic matter term. For a value of the coupling constant that is compatible with inflation, we use the combined WMAP9 (WMAP9+eCMB+BAO+ H0) dataset, the PLANCK+WP dataset, and the PLANCK T T, T E, EE+lowP+Lensing+ext datasets to find the value of the cosmological constant in the model. Modeling the expansion with power-law gives a negative cosmological constants while the phantom power-law (super-acceleration) expansion gives positive cosmological constant with large error bar. The value obtained is of the same order as in the ΛCDM model, since at late times the NMDC effect is tiny due to small curvature.

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“…[43], Amendola has considered a model with non-minimal coupling between derivative of scalar field and the Ricci scalar, ξR∂ µ φ∂ µ φ, and by using generalized slow-roll approximations, he has obtained some inflationary solutions of this model. A general model containing two derivative coupling terms ξ 1 R∂ µ φ∂ µ φ and ξ 2 R µν ∂ µ φ∂ ν φ, has been studied in [44,45]. It was shown in [47] that field equations of this theory are of third order in g µν and φ, but in the special case where −2ξ 1 = ξ 2 = ξ the order of equations are reduced to the second order.…”

Section: Bouncing Behavior Of Non-minimal Derivative Coupling Of Tachmentioning

confidence: 99%

Phantom behavior bounce with tachyon and non-minimal derivative coupling

Banijamali

Fazlpour

2012

J. Cosmol. Astropart. Phys.

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The bouncing cosmology provides a successful solution of the cosmological singularity problem. In this paper, we study the bouncing behavior of a single scalar field model with tachyon field non-minimally coupled to itself, its derivative and to the curvature. By utilizing the numerical calculations we will show that the bouncing solution can appear in the universe dominated by such a quintom matter with equation of state crossing the phantom divide line. We also investigate the classical stability of our model using the phase velocity of the homogeneous perturbations of the tachyon scalar field.

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Nonminimal Derivative Coupling and the Recovering of Cosmological Constant

Abstract: We show that the existence of the cosmological constant can be connected to a nonminimal derivative coupling, in the action of gravity, between the geometry and the kinetic part of a given scalar field without introducing any effective potential of scalar fields. Exact solutions are given.

Cited by 130 publications

References 18 publications

Constant-roll inflation driven by a scalar field with nonminimal derivative coupling

Constant-roll inflation driven by a scalar field with nonminimal derivative coupling

Non-minimal derivative coupling gravity in cosmology

Phantom behavior bounce with tachyon and non-minimal derivative coupling

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