$\alpha$-attractor and reheating in exponential harmonic field model

Kanfon, A. D.; Mavoa, F.; Houndjo, S.

doi:10.1007/s10509-020-03813-6

Cited by 11 publications

(4 citation statements)

References 34 publications

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“…Later on, and recently, the α-attractor potentials have been extensively applied in the study of cosmological inflation [7][8][9][10][11][12] and also in preheating [13] and reheating [14,15]. Also, the quintessential versions of the α-attractors have been applied to explain the late time acceleration of the universe [16][17][18][19] in the predictive study of the stage-IV galaxy surveys [20][21][22], as well as in the study of inflation with primodial black holes [23,24] and the superconformal E-models in brane inflation [25].…”

Section: Introductionmentioning

confidence: 99%

A novel way of constraining the α-attractor chaotic inflation through Planck data

Sarkar

Ghosh

2021

J. Cosmol. Astropart. Phys.

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Defining a scale of k-modes of the quantum fluctuations during inflation through the dynamical horizon crossing condition k = aH we go from the physical t variable to k variable and solve the equations of cosmological first-order perturbations self consistently, with the chaotic α-attractor type potentials. This enables us to study the behaviour of ns , r, nt and N in the k-space. Comparison of our results in the low-k regime with the Planck data puts constraints on the values of the α parameter through microscopic calculations. Recent studies had already put model-dependent constraints on the values of α through the hyperbolic geometry of a Poincaré disk: consistent with both the maximal supergravity model 𝒩 = 8 and the minimal supergravity model 𝒩 = 1, the constraints on the values of α are 1/3, 2/3, 1, 4/3, 5/3, 2, 7/3. The minimal 𝒩 = 1 supersymmetric cosmological models with B-mode targets, derived from these supergravity models, predicted the values of r between 10-2 and 10-3. Both in the E-model and the T-model potentials, we have obtained, in our calculations, the values of r in this range for all the constrained values of α stated above, within 68% CL. Moreover, we have calculated r for some other possible values of α both in low-α limit, using the formula r = 12α/N 2, and in the high-α limit, using the formula r = 4n/N, for n = 2 and 4. With all such values of α, our calculated results match with the Planck-2018 data with 68% or near 95% CL.

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Section: Introductionmentioning

confidence: 99%

A novel way of constraining the α-attractor chaotic inflation through Planck data

Sarkar

Ghosh

2021

J. Cosmol. Astropart. Phys.

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“…In general, direct cosmological observables are hardly traceable up to the period of reheating, but some indirect bounds are available especially in the single field inflation models: taking the CMB data into account, consistency relations among the parameters (T reh , N reh , w reh ) can be derived [12,13]. Numerous studies have been conducted along this line [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Reheating in Models with Non-minimal Coupling in metric and Palatini formalisms

Cheong,

Lee,

Park

2021

Preprint

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We study reheating of inflationary models with general non-minimal coupling K(φ)R with K(φ) ∼ V (φ) where R is the Ricci scalar and V is the inflaton potential. In particular, when we take the monomial potential K(φ) ∝ φ m with m ∈ Z + , we provide general analytic expressions for cosmological observables. We consider a wide range of nonminimal coupling ξ ∈ [0, ∞) in metric and Palatini formalisms and derive the predictions for cosmological observables and the reheating temperature taking a general equation of state parameter w reh .

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Section: Introductionmentioning

confidence: 99%

Reheating in models with non-minimal coupling in metric and Palatini formalisms

Cheong

Lee

Park

2022

J. Cosmol. Astropart. Phys.

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We study reheating of inflationary models with general non-minimal coupling K(ϕ)R with K(ϕ) ∼ √(V(ϕ)) where R is the Ricci scalar and R is the inflaton potential. In particular, when we take the monomial potential K(ϕ) ∝ ϕ m with m∈ℤ+, we provide general analytic expressions for cosmological observables. We consider a wide range of non-minimal coupling ξ∈[0,∞) in metric and Palatini formalisms and derive the predictions for cosmological observables and the reheating temperature taking a general equation of state parameter w reh.

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$\alpha$-attractor and reheating in exponential harmonic field model

Cited by 11 publications

References 34 publications

A novel way of constraining the α-attractor chaotic inflation through Planck data

A novel way of constraining the α-attractor chaotic inflation through Planck data

Reheating in Models with Non-minimal Coupling in metric and Palatini formalisms

Reheating in models with non-minimal coupling in metric and Palatini formalisms

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