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Generalized slow roll conditions and parameters are obtained for a general form of scalar-tensor theory (with no external sources), having arbitrary functions describing a nonminimal gravitational coupling F(\phi), a Kahler-like kinetic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. R. Morris

The impact of particle production during inflation on the primordial curvature perturbation spectrum is investigated both analytically and numerically. We obtain an oscillatory behavior on small scales, while on large scales the spectrum is…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Antonio Enea Romano , Misao Sasaki

The family of primitive binary substitutions defined by $1 \mapsto 0 \mapsto 0 1^m$ with $m\in\mathbb{N}$ is investigated. The spectral type of the corresponding diffraction measure is analysed for its geometric realisation with prototiles…

Dynamical Systems · Mathematics 2018-07-03 Michael Baake , Uwe Grimm , Neil Manibo

Working in an idealised framework in which a series of phases of evolution defined by the second slow-roll parameter $\eta$ are matched together, we calculate the reduced bispectrum, $f_{\rm NL}$, for models of inflation with a large peak…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-08 Matthew W. Davies , Pedro Carrilho , David J. Mulryne

We investigate the primordial power spectra for general kinetic inflation models that support a period of kinetic dominance in the case of curved universes. We present derivations of the Mukhanov-Sasaki equations with a nonstandard scalar…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-28 Zakhar Shumaylov , Will Handley

We study the tensor spectral index $n_t$ and the tensor-to-scalar ratio $r$ in the simplest multifield extension to single-field, slow-roll inflation models. We show that multifield models with potentials $V \sim \sum_i \lambda_i…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Layne C. Price , Hiranya V. Peiris , Jonathan Frazer , Richard Easther

We study a class of generalized inflation models in which the inflaton is coupled to the Ricci scalar by a general $f(\phi, R)$ term. The scalar power spectrum, the spectral index, the running of the spectral index, the tensor mode spectrum…

Astrophysics · Physics 2008-11-26 Bin Chen , Miao Li , Tower Wang , Yi Wang

We have developed a precise dictionary between the spectrum of primordial density fluctuations and the parameters of the effective field theory (EFT) of inflation that determine the primordial power spectrum (PPS). At lowest order the EFT…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-15 Amel Durakovic

Inflation models based on scalar-tensor theories of gravity are formulated in the Jordan frame but most often analysed in the Einstein frame. The transformation between the frames is not always desirable. In this work we formulate slow-roll…

General Relativity and Quantum Cosmology · Physics 2022-10-28 Mindaugas Karčiauskas , José Jaime Terente Díaz

We reconsider the enhancement of primordial gravitational waves that arises from a quantum gravitational model of inflation. A distinctive feature of this model is that the end of inflation witnesses a brief phase during which the Hubble…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Maria G. Romania , N. C. Tsamis , R. P. Woodard

We study the primordial perturbations generated during a stage of single-field inflation in Einstein-aether theories. Quantum fluctuations of the inflaton and aether fields seed long wavelength adiabatic and isocurvature scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Cristian Armendariz-Picon , Noela Farina Sierra , Jaume Garriga

We compute the connected four-point correlation function of the primordial curvature perturbation generated during inflation with standard kinetic terms, where the correlation is established via exchange of a graviton between two pairs of…

Astrophysics · Physics 2010-04-21 David Seery , Martin S. Sloth , Filippo Vernizzi

We investigate the inhomogeneous inflation, in which the space exponentially expands with inhomogeneities, and its cosmological perturbations. The inhomogeneous inflation is realized by introducing scalar fields with spacelike gradients…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-11 Xian Gao , Chao Kang

We derive the consistency relations for a chaotic inflation model with a non-minimal coupling to gravity. For a quadratic potential in the limit of a small non-minimal coupling parameter $\xi$ and for a quartic potential without assuming…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-03 Takeshi Chiba , Kazunori Kohri

We calculate the scalar spectral index $n_s$ and the tensor-to-scalar ratio $r$ in a class of recently proposed two-field no-scale inflationary models in supergravity. We show that, in order to obtain correct predictions, it is crucial to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Sébastien Renaux-Petel , Krzysztof Turzynski

Inflationary cosmology is the leading explanation of the very early universe. Many different models of inflation have been constructed which fit current observational data. In this work theoretical and numerical methods for constraining the…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-29 Ian Huston

In this work we investigate the inflationary era in the presence of a canonical scalar field and Chern-Simons parity violating corrections. It was also assumed that a non minimal coupling between curvature and the scalar field is present.…

General Relativity and Quantum Cosmology · Physics 2023-02-13 F. P. Fronimos , S. A. Venikoudis

Higgs field of particle physics can play the role of the inflaton in the early universe, if it is non-minimally coupled to gravity. The Higgs inflation scenario predicts a small tensor to scalar ratio: $r\simeq 0.003$. Although this value…

High Energy Physics - Theory · Physics 2015-09-02 Sarang Zeynizadeh , Amin Rezaei Akbarieh

We calculate the three-point correlation function evaluated at horizon crossing for a set of interacting scalar fields coupled to gravity during inflation. This provides the initial condition for the three-point function of the curvature…

Astrophysics · Physics 2008-11-26 David Seery , James E. Lidsey

We invert the second order, single field, general slow-roll formula for the power spectrum, to obtain a second order formula for inflationary parameters in terms of the primordial power spectrum.

Astrophysics · Physics 2009-11-13 Minu Joy , Ewan D. Stewart