Non-minimal derivative coupling gravity in cosmology

Gumjudpai, Burin; Rangdee, Phongsaphat

doi:10.1007/s10714-015-1985-2

Cited by 41 publications

(28 citation statements)

References 116 publications

(138 reference statements)

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“…With Eqs. (18) and (19), the warp factor of the effective spacetime and the canonical background scalar field can be calculated asÃ (y) = 1 4 ln sech 4 (ky) 12bk 2 tanh 2 (ky) + 1 ,…”

Section: Brane World Modelmentioning

confidence: 99%

Thick brane in reduced Horndeski theory

Zhao

et al. 2019

Phys. Rev. D

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Horndeski theory is the most general scalar-tensor theory retaining second-order field equations, although the action includes higher-order terms. This is achieved by a special choice of coupling constants. In this paper, we investigate thick brane system in reduced Horndeski theory, especially the effect of the non-minimal derivative coupling on thick brane. First, the equations of motion are presented and a set of analytic background solutions are obtained. Then, to investigate the stability of the background scalar profile, we present a novel canonically normalized method, and show that although the original background scalar field is unstable, the canonical one is stable.The stability of the thick brane under tensor perturbation is also considered. It is shown that the tachyon is absent and the graviton zero mode can be localized on the brane. The localized graviton zero mode recovers the four-dimensional Newtonian potential and the presence of the non-minimal derivative coupling results in a splitting of its wave function. The correction of the massive graviton KK modes to the Newtonian potential is also analyzed briefly.

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“…With Eqs. (18) and (19), the warp factor of the effective spacetime and the canonical background scalar field can be calculated asÃ (y) = 1 4 ln sech 4 (ky) 12bk 2 tanh 2 (ky) + 1 ,…”

Section: Brane World Modelmentioning

confidence: 99%

Thick brane in reduced Horndeski theory

Zhao

et al. 2019

Phys. Rev. D

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“…Now, we consider the case C 1 = C 2 = M/2 (a similar consideration was carried out in Refs. 30 and 38), then (28) becomes…”

Section: Solution (E) {λmentioning

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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“…Shortly after, it was discovered that the non-minimal kinetic coupling sector L 5 (called "John" in the "Fab Four" terminology of [24]) leads to an accelerated expansion provided G 5 is constant and G 5X = 0, see e.g. [25][26][27][28][29][30] and references therein. A lot of work was also done in perturbation theory, with the goal of finding potentially observable deviations from GR in large-scale structures and the conditions on the parameter space that avoid too large gravitational instabilities [31].…”

Section: Galilean Transformationsmentioning

confidence: 99%

Slowly rotating neutron stars in the nonminimal derivative coupling sector of Horndeski gravity

et al. 2016

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This work is devoted to the construction of slowly rotating neutron stars in the framework of the nonminimal derivative coupling sector of Horndeski theory. We match the large radius expansion of spherically symmetric solutions with cosmological solutions and we find that the most viable model has only one free parameter. Then, by using several tabulated and realistic equations of state, we establish numerically the upper bound for this parameter in order to construct neutron stars in the slow rotation approximation with the maximal mass observed today. We finally study the surface redshift and the inertia of these objects and compare them with known data.

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Non-minimal derivative coupling gravity in cosmology

Cited by 41 publications

References 116 publications

Thick brane in reduced Horndeski theory

Thick brane in reduced Horndeski theory

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

Slowly rotating neutron stars in the nonminimal derivative coupling sector of Horndeski gravity

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