Eternal Inflation and the Present Universe

Vilenkin, Alexander

doi:10.1007/0-306-47104-3_4

Cited by 2 publications

(2 citation statements)

References 20 publications

(32 reference statements)

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“…Singularity theorems have been devised that apply in the inflationary context, showing that the universe necessarily had a beginning (according to classical and semi-classical theory) [6]- [10]. In other words, according to these theorems, the quantum gravity era cannot be avoided in the past even if inflation takes place.…”

Section: Introductionmentioning

confidence: 99%

Emergent universe in a Jordan–Brans–Dicke theory

Campo

Herrera

Labraña

2007

J. Cosmol. Astropart. Phys.

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Section: Introductionmentioning

confidence: 99%

Emergent universe in a Jordan–Brans–Dicke theory

Campo

Herrera

Labraña

2007

J. Cosmol. Astropart. Phys.

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“…Moreover, the semi-classical approximation ignores quantum fluctuations, that can even counter the background motion of the field and lead to a phase of eternal inflation[37][38][39]; see Refs [40][41][42]. for recent discussions.…”

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confidence: 99%

Scaling attractors in multi-field inflation

Christodoulidis

Roest

Sfakianakis

2019

J. Cosmol. Astropart. Phys.

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Multi-field inflation with a curved scalar geometry has been found to support background trajectories that violate the slow-roll, slow-turn conditions and thus have the potential to evade the swampland constraints. In order to understand how generic this novel behaviour is and what conditions lead to it, we perform a classification of dynamical attractors of two-field inflation that are of the scaling type. Scaling solutions form a oneparameter generalization of De Sitter solutions with a constant value of the first Hubble flow parameter and, as we argue and demonstrate, form a natural starting point for the study of non-slow-roll slow-turn behaviour.All scaling solutions can be classified as critical points of a specific dynamical system. We recover known multi-field inflationary attractors as approximate scaling solutions and classify their stability using dynamical system techniques. In particular, we discover that dynamical bifurcations play an integral role in the transition between geodesic and nongeodesic motion and discuss the ability of scaling solutions to describe realistic multi-field models. We revisit the criteria for background stability and show cases where the usual criteria found in the literature do not capture the background evolution of the system. arXiv:1903.06116v2 [hep-th] 29 Jul 2019 Contents 7 Summary and Discussion 32 A Coordinate transformations and isometries 34 B Hurwitz-Routh stability criterion 34 C Bifurcations in dynamical systems 35 1 There has been a growing interesting for inflationary models involving gauge fields (see e.g. Refs. [13-17]); however, in such cases, a scalar degree of freedom that takes the role of the inflaton can be identified. 2 There are a few examples in the literature which admit general analytical solutions [18-28]. These are completely integrable systems where the mini-super Lagrangian has Noether symmetries, and have been classified in Refs. [29-31].

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Eternal Inflation and the Present Universe

Cited by 2 publications

References 20 publications

Emergent universe in a Jordan–Brans–Dicke theory

Emergent universe in a Jordan–Brans–Dicke theory

Scaling attractors in multi-field inflation

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