An exactly solvable inflationary model

Mignemi, Salvatore; Pintus, Nicola

doi:10.1007/s10714-015-1892-6

Cited by 8 publications

(15 citation statements)

References 17 publications

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“…We expect that the exact solutions of simple models are useful to reveal some subtle features of the cosmological dynamical system [57][58][59][60][61][62][63][64][65][66][67]. Here, we investigate the cases with specific parameters, where the exact classical and quantum cosmological solutions can be obtained.…”

Section: Modified Positive-definite Actionmentioning

confidence: 99%

Classical and quantum cosmology of $K$-essentially modified $R^2$ and pure $R^p$ gravity

Kan,

Shiraishi,

Yashiki

2018

Preprint

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We present a gravitational action with a modified higher order term of a combination of scalar curvature and Lagrangian density of a scalar field. This type of models has been considered first by Cruz-Dombriz et al. The classical and quantum cosmologies governed by the modified action are studied. Models described by a positive-definite action and a pure arbitrary-powered scalar curvature action without the standard Einstein-Hilbert term are also investigated. We show some particular cases in which exact solutions can be obtained.

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Section: Modified Positive-definite Actionmentioning

confidence: 99%

Classical and quantum cosmology of $K$-essentially modified $R^2$ and pure $R^p$ gravity

Kan,

Shiraishi,

Yashiki

2018

Preprint

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“…On the other hand, the cosmological duals of solitons interpolating between AdS in the infrared and scalecovariant geometries in the ultraviolet [28,29] may be relevant for describing inflation. It has been shown that the cosmological solutions of this class of models generate inflation as the scalar field rolls down from a de Sitter (dS) spacetime [36]. In this context, inflation can be described as an instability of the dS spacetime rolling down to a scaling solution.…”

Section: Arxiv:151004030v3 [Gr-qc] 2 Sep 2016mentioning

confidence: 99%

“…Notice that our notation differs from that of Ref [36]. for the units used and for a rescaling of the parameter µ by a factor of 2.…”

mentioning

confidence: 99%

Inflation as de Sitter instability

2016

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We consider cosmological inflation generated by a scalar field slowly rolling off from a de Sitter maximum of its potential. The models belong to the class of hilltop models and represent the most general model of this kind in which the scalar potential can be written as the sum of two exponentials. The minimally coupled Einsteinscalar gravity theory obtained in this way is the cosmological version of a two-scale generalization of known holographic models, allowing for solitonic solutions interpolating between an AdS spacetime in the infrared and scaling solutions in the ultraviolet. We then investigate cosmological inflation in the slow-roll approximation. Our model reproduces correctly, for a wide range of its parameters, the most recent experimental data for the power spectrum of primordial perturbations. Moreover, it predicts inflation at energy scales of four to five orders of magnitude below the Planck scale. At the onset of inflation, the mass of the tachyonic excitation, i.e. of the inflaton, turns out to be seven to eight orders of magnitude smaller than the Planck mass.

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“…Such accelerations can be caused by the dynamics of additional scalar modes in the Einstein gravity. In several models, exact solutions are known and thoroughly investigated [23][24][25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables

Kan,

Kuniyasu,

Shiraishi

et al. 2019

Preprint

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We study classical and quantum noncommutative cosmology with a Liouville-type scalar degree of freedom. The noncommutativity is imposed on the minisuperspace variables through a deformation of the Poisson algebra. In this paper, we investigate the effects of noncommutativity of minisuperspace variables on the accelerating behavior of the cosmic scale factor. The probability distribution in noncommutative quantum cosmology is also studied and we propose a novel candidate for interpretation of the probability distribution in terms of noncommutative arguments.

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An exactly solvable inflationary model

Abstract: We discuss a model of gravity coupled to a scalar field that admits exact cosmological solutions displaying an inflationary behavior at early times and a power-law expansion at late times.Comment: 7 pages; several typos correcte

Cited by 8 publications

References 17 publications

Classical and quantum cosmology of $K$-essentially modified $R^2$ and pure $R^p$ gravity

Classical and quantum cosmology of $K$-essentially modified $R^2$ and pure $R^p$ gravity

Inflation as de Sitter instability

Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables

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