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Conditions for (No) Eternal Inflation

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arxiv 1905.05198 v3 pith:KRC4WAVV submitted 2019-05-13 hep-th gr-qc

Tom Rudelius This is my paper · ORCID
classification hep-thgr-qc
keywords inflationeternalconditionssolutionsswamplandanalyticapproximatearises
verification ladder T0 review T1 audit T2 compute T3 formal
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We construct analytic and numerical solutions of the Fokker-Planck equation that arises in the context of stochastic inflation. We use these solutions to derive necessary conditions for eternal inflation on the higher derivatives of the scalar field potential and examine the prospects for eternal inflation in a variety of popular models. We note similarities between the conditions needed to avoid eternal inflation and several recently-proposed Swampland criteria, which leads us to speculate on the possibility that the de Sitter Swampland conjectures should be viewed as approximate consequences of a No Eternal Inflation principle.

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Cited by 5 Pith papers

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  1. Dark Energy Bubble as Dynamical Dark Energy: Properties and CMB Constraints

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    A late-time bubble of lower dark energy density can mimic DESI BAO features, but CMB dipole, kSZ, and sound-horizon constraints exclude the required parameters.

  2. Birth of Inflationary Universes via Wineglass Wormholes and their No-Boundary Relatives

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Wineglass wormholes with a local maximum in the scale factor mediate the birth of inflationary spacetimes and split into background plus no-boundary geometries at small axionic or magnetic charge.

  3. Eternal Inflation in Swampy Landscapes

    gr-qc 2019-08 conditional novelty 6.0 of 10

    Eternal inflation persists in landscapes where de Sitter vacua are rare or absent, via flyover transitions between isolated dS vacua or inflating bubble walls nucleated around saddle points.

  4. Breaking Free from the Swampland of Impossible Universes through the DESI Portal

    astro-ph.CO 2026-05 unverdicted novelty 3.0 of 10

    DESI data indicating evolving dark energy may allow string theory to describe observed universes without violating swampland constraints on constant dark energy.

  5. In Pursuit of New Paradigms: TASI 2024

    hep-ph 2024-12 accept novelty 1.0 of 10

    A review of theoretical paradigms, from pNGB Higgs to SUSY, that attempt to explain the smallness of the Higgs mass.

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