Anisotropic inflation in non-minimal kinetic coupling model

Goodarzi, Parviz

doi:10.1088/1475-7516/2022/11/052

Cited by 3 publications

(2 citation statements)

References 99 publications

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“…Furthermore, the effective self-coupling λ of the Higgs boson in this model can be lowered to the order of unity without introducing a new degree of freedom [7,9]. For more works on the inflation model with non-minimally derivative coupling, see [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Constant-roll inflation with non-minimally derivative coupling

Liu,

Gong,

2024

Commun. Theor. Phys.

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We investigate the constant-roll inflation with non-minimally kinetic coupling to the Einstein tensor. With the slow-roll parameter $\eta_\phi = -\ddot{\phi}/(H\dot{\phi})$ being a constant, we calculate the power spectra for scalar and tensor perturbations, and derive the expressions for the scalar spectral tilt $n_s$, the tensor spectral tilt $n_T$, and the tensor-to-scalar ratio $r$. We find that the expressions for $n_s$ are different with different ordering of taking the derivative of the scalar power spectrum with respect to the scale $k$ and the horizon crossing condition $c_sk=aH$ in the constant-roll inflation, the consistency relation $r=-8n_T$ does not hold if $|\eta_\phi|$ is not small, and the duality of the tensor-to-scalar ratio between the slow-roll inflation and ultra-slow-roll inflation does not exist in inflationary models with non-minimally derivative coupling. The result offers a fresh perspective on the understanding of inflationary models with non-minimally derivative coupling and is helpful for the production of scalar induced gravitational waves in the framework of ultra-slow-roll inflation with non-minimally derivative coupling.

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Section: Introductionmentioning

confidence: 99%

Constant-roll inflation with non-minimally derivative coupling

Liu,

Gong,

2024

Commun. Theor. Phys.

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“…The non-minimal kinetic coupling theory is a form of scalar tensor theory with a scalar field with minimal coupling to gravity. Some authors explored the theory for various aspects of cosmology in the early universe and even in the late universe [57][58][59][60][61][62][63][64][65].…”

Section: Introductionmentioning

confidence: 99%

Bouncing cosmology and dynamical analysis of stability with non-minimal kinetic coupled gravity

Amani,

Kubeka,

Mahichi

2023

Preprint

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We model the bounce phase, stability and the reconstruction of the universe by non-minimal kinetic coupling. In the process, we obtained importance information about the energy density and the matter pressure of the universe in relation to the previous universe through the bounce quantum phase. The novelty of the work is that the scale factor is obtained directly from the model and is fitted with an exponential function, with this view we explore the process of the early universe even the bounce phase. After that, we plot the cosmological parameters in terms of time evolution. In what follows, we investigate the stability of the model by the dynamical system analysis in a phase plane. Finally, the phase space trajectories examine the stability of the universe, especially in the inflationary period.

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Anisotropic power-law inflation for a generalized model of two scalar and two vector fields

Do,

Kao

2023

Phys. Scr.

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Cosmological implication of a generalized model of two scalar and two vector fields, in which both scalar fields are non-minimally coupled to each vector field, is studied in this paper. In particular, we will seek a set of new anisotropic power-law inflationary solutions to this model. Additionally, the stability of the obtained solutions will be examined by using the dynamical system approach. As a result, we will show that this set of solutions turns out to be stable and attractive during the inflationary phase as expected due to the existence of the unusual couplings between two scalar and two vector fields. Notably, we will point out that the existence of phantom field will lead to an instability of the corresponding anisotropic power-law inflation.

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Anisotropic inflation in non-minimal kinetic coupling model

Cited by 3 publications

References 99 publications

Constant-roll inflation with non-minimally derivative coupling

Constant-roll inflation with non-minimally derivative coupling

Bouncing cosmology and dynamical analysis of stability with non-minimal kinetic coupled gravity

Anisotropic power-law inflation for a generalized model of two scalar and two vector fields

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