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An inflationary scenario that leads to $\Omega _0<1$ today is presented. An epoch of `old' inflation during which the smoothness and horizon problems are solved is followed by a shortened epoch of `new' inflation. Old inflation exits…

High Energy Physics - Phenomenology · Physics 2016-09-01 M. Bucher , A. S. Goldhaber , N. Turok , .

We calculate the probability distribution for the volume of the Universe after slow-roll inflation both in the eternal and in the non-eternal regime. Far from the eternal regime the probability distribution for the number of e-foldings,…

High Energy Physics - Theory · Physics 2009-05-01 Sergei Dubovsky , Leonardo Senatore , Giovanni Villadoro

In a previous paper we proposed a new approach to the beginning of inflation -- a lingering universe. The universe begins in a lingering state with a nearly vanishing Hubble parameter. This calls into question the absolute age of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-09 Brandon Melcher , Arnab Pradhan , Scott Watson

Extended inflation is a promising new approach to implementing the inflationary universe scenario. This paper reviews recent advances including a new, more robust mechanism for ending extended inflation, a new prediction for the density…

Astrophysics · Physics 2010-04-06 Paul J. Steinhardt

Inflation is known to be generically eternal to the future: the false vacuum is thermalized in some regions of space, while inflation continues in other regions. Here, we address the question of whether inflation can also be eternal to the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Arvind Borde , Alexander Vilenkin

``Eternal inflation'' is often confused with ``chaotic inflation''. Moreover, the term ``chaotic inflation'' is being used in three different meanings (all of them unrelated to eternal inflation). I make some suggestions in an effort to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander Vilenkin

We study an inflationary scenario with a vector impurity. We show that the universe undergoes anisotropic inflationary expansion due to a preferred direction determined by the vector. Using the slow-roll approximation, we find a formula to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sugumi Kanno , Masashi Kimura , Jiro Soda , Shuichiro Yokoyama

If our universe underwent inflation, its entropy during the inflationary phase was substantially lower than it is today. Because a low-entropy state is less likely to be chosen randomly than a high-entropy one, inflation is unlikely to…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Sean M. Carroll , Jennifer Chen

Inflation has been the driving idea in cosmology for two decades and is a pillar of the New Cosmology. The inflationary paradigm has now passed its first round of significant tests, with two of its three basics predictions confirmed at…

Astrophysics · Physics 2014-10-13 Michael S. Turner

We study various probability measures for eternal inflation by applying their regularization prescriptions to models where inflation is not eternal. For simplicity we work with a toy model describing inflation that can interpolate between…

High Energy Physics - Theory · Physics 2014-11-21 Andrei Linde , Mahdiyar Noorbala

We perform a general analysis of the cosmological viability of Geometric Inflation. We show that the evolution of the universe, from inflation to the present day, can be seen from the addition of an infinite tower of curvature invariants…

General Relativity and Quantum Cosmology · Physics 2021-09-27 Luisa G. Jaime

We consider the long standing puzzle of how to obtain meaningful probabilities in eternal inflation. We demonstrate a new algorithm to compute the probability distribution of pocket universe types, given a multivacua inflationary potential.…

Astrophysics · Physics 2011-01-20 Richard Easther , Eugene A. Lim , Matthew R. Martin

The phenomenon of stochastic eternal inflation is studied for a chaotic inflation potential in a Bianchi Type I spacetime background. After deriving the appropriate stochastic Klein-Gordon equation, we give details on the conditions for…

General Relativity and Quantum Cosmology · Physics 2017-03-16 Ikjyot Singh Kohli , Michael C. Haslam

I describe reasons to think we are living in an eternally inflating multiverse where the observable "constants" of nature vary from place to place. The major obstacle to making predictions in this context is that we must regulate the…

High Energy Physics - Theory · Physics 2015-05-28 Ben Freivogel

We investigate whether the eternal chaotic inflation can be achieved when the weak gravity conjecture is taken into account. We show that even the assisted chaotic inflation with potential $\lambda\phi^4$ or $m^2\phi^2$ can not be eternal.…

High Energy Physics - Theory · Physics 2008-11-26 Qing-Guo Huang , Miao Li , Yi Wang

Eternal inflation is studied in the context of warm inflation. We focus on different tools to analyze the effects of dissipation and the presence of a thermal radiation bath on the fluctuation-dominated regime, for which the…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-14 Gustavo S. Vicente , Leandro A. da Silva , Rudnei O. Ramos

For slow-roll inflation we study the phase transition to the eternal regime. Starting from a finite inflationary volume, we consider the volume of the universe at reheating as order parameter. We show that there exists a critical value for…

High Energy Physics - Theory · Physics 2009-12-15 Paolo Creminelli , Sergei Dubovsky , Alberto Nicolis , Leonardo Senatore , Matias Zaldarriaga

It is shown that a physically reasonable spacetime that is eternally inflating to the future must possess an initial singularity.

General Relativity and Quantum Cosmology · Physics 2010-04-06 Arvind Borde , Alexander Vilenkin

Global-local duality is the equivalence of seemingly different regulators in eternal inflation. For example, the light-cone time cutoff (a global measure, which regulates time) makes the same predictions as the causal patch (a local measure…

High Energy Physics - Theory · Physics 2013-05-30 Raphael Bousso , Dan Mainemer Katz

We have investigated the necessary conditions that prevent phantom inflation from being eternal. Allowing additionally for a nonminimal coupling between the phantom field and gravity, we present the slow-climb requirements, perform an…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Chao-Jun Feng , Xin-Zhou Li , Emmanuel N. Saridakis