Inverse symmetric inflationary attractors

Odintsov, Sergei D.; Oikonomou, V. K.

doi:10.1088/1361-6382/aa69a8

Cited by 19 publications

(10 citation statements)

References 61 publications

(234 reference statements)

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“…Finally, the procedure introduced here to construct a scaleinvariant generalization of the alpha-attractors can be applied to wider examples of attractor potentials, such as the ones introduced in [64,65]. This would give rise to a richer class of potentials with different constraints from the dynamics of the vector field, which would be an important step toward more realistic scenarios for inflationary attractors with a dynamical vector field.…”

Section: Discussionmentioning

confidence: 99%

Broken scale invariance, $$\alpha $$ α -attractors and vector impurity

et al. 2017

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We show that if the α-attractor model is realized by the spontaneous breaking of the scale symmetry, then the stability and the dynamics of the vector field that gauges the scale symmetry can severely constrain the α-parameter as 5/6 < α < 1 restricting the inflationary predictions in a very tiny region in the n s − r plane that are in great agreement with the latest Planck data. Although the different values of α do not make a tangible difference for n s and r , they provide radically different scenarios for the post-inflationary dynamics which determines the standard BBN processes and the large scale isotropy of the universe.

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Section: Discussionmentioning

confidence: 99%

Broken scale invariance, $$\alpha $$ α -attractors and vector impurity

et al. 2017

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show abstract

“…Finally, the procedure introduced here to construct a scale-invariant generalization of the alpha-attractors can be applied to more wide examples of attractors potentials, such as the ones introduced in [64,65]. This would give rise to a richer class of potentials with different constraints from the dynamics of the vector field, which would be an important step towards more realistic scenarios for inflationary attractors with a dynamical vector field.…”

Section: Discussionmentioning

confidence: 99%

Broken scale invariance, $α$-attractors and vector impurity

Akarsu,

Boran,

Kahya

et al. 2016

Preprint

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We show that if the α-attractor model is realized by the spontaneous breaking of the scale symmetry, then the stability and the dynamics of the vector field that gauges the scale symmetry can severely constrain the α-parameter as 5/6 < α < 1 restricting the inflationary predictions in a very tiny region in the ns −r plane that are in great agreement with the latest Planck data. Although the different values of α do not make a tangible difference for ns and r, they provide radically different scenarios for the post-inflationary dynamics which determines the standard BBN processes and the large scale isotropy of the universe.

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“…At this point, we can calculate the scalar potential V J (φ) of the Ω(φ)-Jordan frame theory in the slow-roll approximation, by combining Eqs. (19), (30) and (32), and also by inverting Eq. (36), so the resulting expression in terms of the scalar field φ reads,…”

Section: ω(φ)R Gravity and Observational Indices Of Attractor Momentioning

confidence: 99%

Attractor cosmology from nonminimally coupled gravity

Odintsov

Oikonomou

2018

Phys. Rev. D

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By using a bottom-up reconstruction technique for non-minimally coupled scalar-tensor theories, we realize the Einstein frame attractor cosmologies in the Ω(φ)-Jordan frame. For our approach, what is needed for the reconstruction method to work is the functional form of the non-minimal coupling Ω(φ) and of the scalar-to-tensor ratio, and also the assumption of the slow-roll inflation in the Ω(φ)-Jordan frame. By appropriately choosing the scalar-to-tensor ratio, we demonstrate that the observational indices of the attractor cosmologies can be realized directly in the Ω(φ)-Jordan frame. We investigate the special conditions that are required to hold true in for this realization to occur, and we provide the analytic form of the potential in the Ω(φ)-Jordan frame. Also, by performing a conformal transformation, we find the corresponding Einstein frame canonical scalartensor theory, and we calculate in detail the corresponding observational indices. The result indicates that although the spectral index of the primordial curvature perturbations is the same in the Jordan and Einstein frames, at leading order in the e-foldings number, the scalar-to-tensor ratio differs. We discuss the possible reasons behind this discrepancy, and we argue that the difference is due to some approximation we performed to the functional form of the potential in the Einstein frame, in order to obtain analytical results, and also due to the difference in the definition of the e-foldings number in the two frames, which is also pointed out in the related literature. Finally, we find the F (R) gravity corresponding to the Einstein frame canonical scalar-tensor theory.PACS numbers: 04.50. Kd, 95.36.+x, 98.80.Cq,

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Inverse symmetric inflationary attractors

Cited by 19 publications

References 61 publications

Broken scale invariance, $$\alpha $$ α -attractors and vector impurity

Broken scale invariance, $$\alpha $$ α -attractors and vector impurity

Broken scale invariance, $α$-attractors and vector impurity

Attractor cosmology from nonminimally coupled gravity

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