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We analyze constraints on parameters characterizing the pre-inflating universe in an open inflation model with a present slightly open $\Lambda$CDM universe. We employ an analytic model to show that for a broad class of inflation-generating…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-17 G. J. Mathews , I. -S. Suh , N. Q. Lan , T. Kajino

In this article we provide a new closed relationship between cosmic abundance of primordial gravitational waves and primordial blackholes originated from initial inflationary perturbations for inflection-point models of inflation where…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-19 Sayantan Choudhury , Anupam Mazumdar

Cosmological phase transitions are thought to have taken place at the early Universe imprinting their properties on the observable Universe. There is strong evidence that, through the dynamics of a scalar field that lead a second order…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Orfeu Bertolami

The early Universe inflation is well known as a promising theory to explain the origin of large scale structure of the Universe, a causal theory for the origin of primordial density fluctuations which may explain the observed density…

Astrophysics · Physics 2007-05-23 Xin-he Meng

Bursts of particle production during inflation provide a well-motivated mechanism for creating bump like features in the primordial power spectrum. Current data constrains these features to be less than about 5% the size of the featureless…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-12 Teeraparb Chantavat , Christopher Gordon , Joseph Silk

Warm inflation is an interesting possibility of describing the early universe, whose basic feature is the absence, at least in principle, of a preheating or reheating phase. Here we analyze the dynamics of warm inflation generalizing the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 H. P. De Oliveira , S. E. Jorás

We analyze radiative corrections to the Starobinsky model of inflation arising from self-interactions of the inflaton, and from its Yukawa couplings, $y$, to matter fermions, and dimensionful trilinear couplings, $\kappa$, to scalar fields,…

High Energy Physics - Phenomenology · Physics 2025-10-20 John Ellis , Tony Gherghetta , Kunio Kaneta , Wenqi Ke , Keith A. Olive

During cosmological inflation, it has been suggested that fields coupled to the inflaton can be excited by the slow-rolling inflaton into a quasi-stable non-vacuum state. Within this scenario of ``warm inflation'', this could allow for a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gert Aarts , Anders Tranberg

We present a model with a complex and a real scalar fields and a potential whose symmetry is explicitly broken by Planck-scale physics. For exponentially small breaking, the model accounts for the period of inflation in the early universe…

Astrophysics · Physics 2007-05-23 Gabriel Zsembinszki

In the framework of inflation, scales which nowadays correspond to large scale structures were smaller than the Planck length at the beginning of inflation. Therefore, measurements of CMBR anisotropy or surveys of galaxies and of clusters…

Astrophysics · Physics 2007-05-23 Jerome Martin , Robert H. Brandenberger

After a brief summary of general relativity and cosmology, we present the basic concepts underlying inflation, the currently best motivated models for the early Universe. We describe the simplest inflation models, based on a single scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-27 David Langlois

This is a review article for The Review of Particle Physics 2026 (aka the Particle Data Book), appearing as Chapter 23. It forms a compact review of our understanding of cosmological inflation near the end of 2025. Topics included are…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-03 John Ellis , Vincent Vennin , David Wands

The very basics of cosmological inflation are discussed. We derive the equations of motion for the inflaton field, introduce the slow-roll parameters, and present the computation of the inflationary perturbations and their connection to the…

General Relativity and Quantum Cosmology · Physics 2012-01-31 K. Enqvist

In inflationary cosmology, the particles constituting the Universe are created after inflation in the process of reheating due to the interaction with the oscillating inflaton field. We briefly review the basics of the slow reheating, and…

Astrophysics · Physics 2007-05-23 Lev Kofman

We explore possible constraints on the inflationary equation state: p=w\rho. While w must be close to -1 for those modes that contribute to the observed power spectrum, for those modes currently out of experimental reach, the constraints on…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Lotty Ackerman , Willy Fischler , Sandipan Kundu , Navin Sivanandam

Inflation in the early Universe is one of the most promising probes of gravity in the high-energy regime. However, observable scales give access to a limited window in the inflationary dynamics. In this essay, we argue that quantum…

High Energy Physics - Theory · Physics 2017-11-22 Robert J. Hardwick , Vincent Vennin , David Wands

We analyse the implications of the Planck data for cosmic inflation. The Planck nominal mission temperature anisotropy measurements, combined with the WMAP large-angle polarization, constrain the scalar spectral index to $n_s = 0.9603 \pm…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-04 Planck Collaboration , P. A. R. Ade , N. Aghanim , C. Armitage-Caplan , M. Arnaud , M. Ashdown , F. Atrio-Barandela , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , J. G. Bartlett , N. Bartolo , E. Battaner , K. Benabed , A. Benoit , A. Benoit-Levy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. Bobin , J. J. Bock , A. Bonaldi , J. R. Bond , J. Borrill , F. R. Bouchet , M. Bridges , M. Bucher , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , A. Catalano , A. Challinor , A. Chamballu , H. C. Chiang , L. -Y Chiang , P. R. Christensen , S. Church , D. L. Clements , S. Colombi , L. P. L. Colombo , F. Couchot , A. Coulais , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , J. -M. Delouis , F. -X. Desert , C. Dickinson , J. M. Diego , H. Dole , S. Donzelli , O. Dore , M. Douspis , J. Dunkley , X. Dupac , G. Efstathiou , T. A. Ensslin , H. K. Eriksen , F. Finelli , O. Forni , M. Frailis , E. Franceschi , S. Galeotta , K. Ganga , C. Gauthier , M. Giard , G. Giardino , Y. Giraud-Hiraud , J. Gonzalez-Nuevo , K. M. Gorski , S. Gratton , A. Gregorio , A. Gruppuso , J. Hamann , F. K. Hansen , D. Hanson , D. Harrison , S. Henrot-Versille , C. Hernandez-Monteagudo , D. Herranz , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , A. H. Jaffe , T. R. Jaffe , W. C. Jones , M. Juvela , E. Keihanen , R. Keskitalo , T. S. Kisner , R. Kneissl , J. Knoche , L. Knox , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lahteenmaki , J. -M. Lamarre , A. Lasenby , R. J. Laureijs , C. R. Lawrence , S. Leach , J. P. Leahy , R. Leonardi , J. Lesgourgues , A. Lewis , M. Liguori , P. B. Lilje , M. Linden-Vernle , M. Lopez-Caniego , P. M. Lubin , J. F. Macias-Perez , B. Maffei , D. Maino , N. Mandolesi , M. Maris , D. J. Marshall , P. G. Martin , E. Martinez-Gonzalez , S. Masi , M. Massardi , S. Matarrese , F. Matthai , P. Mazzotta , P. R. Meinhold , A. Melchiorri , L. Mendes , A. Mennella , M. Migliaccio , S. Mitra , M. -A. Miville-Deschenes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , J. A. Murphy , P. Naselsky , F. Nati , P. Natoli , C. B. Netterfield , H. U. Norgaard-Nielsen , F. Noviello , D. Novikov , I. Novikov , I. J. O'Dwyer , S. Osborne , C. A. Oxborrow , F. Paci , L. Pagano , F. Pajot , R. Paladini , S. Pandolfi , D. Paoletti , B. Partridge , F. Pasian , G. Patanchon , H. V. Peiris , O. Perdereau , L. Perotto , F. Perrotta , F. Piacentini , M. Piat , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , E. Pointecouteau , G. Polenta , N. Ponthieu , L. Popa , T. Poutanen , G. W. Pratt , G. Prezeau , S. Prunet , J. -L. Puget , J. P. Rachen , R. Rebolo , M. Reinecke , M. Remazeilles , C. Renault , S. Ricciardi , T. Riller , I. Ristorcelli , G. Rocha , C. Rosset , G. Roudier , M. Rowan-Robinson , J. A. Rubino-Martin , B. Rusholme , M. Sandri , D. Santos , M. Savelainen , G. Savini , D. Scott , M. D. Seiffert , E. P. S. Shellard , L. D. Spencer , J. -L. Starck , V. Stolyarov , R. Stompor , R. Sudiwala , R. Sunyaev , F. Sureau , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , D. Tavagnacco , L. Terenzi , L. Toffolatti , M. Tomasi , J. Treguer-Goudineau , M. Tristram , M. Tucci , J. Tuovinen , L. Valenziano , J. Valiviita , B. Van Tent , J. Varis , P. Vielva , F. Villa , N. Vittorio , L. A. Wade , B. D. Wandelt , M. White , A. Wilkinson , D. Yvon , A. Zacchei , J. P. Zibin , A. Zonca

We demonstrate that the strict upper bounds on the energy scale of inflation and on the tensor-to-scalar ratio can be somewhat relaxed if we assume that - after an initial period of slow rolling when scales probed today in CMB experiments…

High Energy Physics - Theory · Physics 2020-05-20 Vahid Kamali , Robert Brandenberger

I give a general review of inflationary cosmology and of its present status, in view of the 2013 data release by the Planck satellite. A specific emphasis is given to the new broad class of theories, the cosmological attractors, which have…

High Energy Physics - Theory · Physics 2014-03-11 Andrei Linde

It was recently pointed out that the fundamental Planck mass could be close to the TeV scale with the observed weakness of gravity at long distances being due the existence of new sub-millimeter spatial dimensions. In this picture the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nima Arkani-Hamed , Savas Dimopoulos , Nemanja Kaloper , John March-Russell
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