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A procedure is developed for the recovery of the inflationary potential over the interval that affects astrophysical scales ($\approx 1\Mpc - 10^4\Mpc$). The amplitudes of the scalar and tensor metric perturbations and their power-spectrum…

Astrophysics · Physics 2013-11-13 M. S. Turner

We investigate a compelling model of quintessential inflation in the context of $\alpha$-attractors, which naturally result in a scalar potential featuring two flat regions, the inflationary plateau and the quintessential tail. The…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-28 Konstantinos Dimopoulos , Leonora Donaldson Wood , Charlotte Owen

The equivalence between $f(R)$ and scalar-tensor theories is revisited, we consequently explored different $f(R)$ models. After consideration of specific definition of the scalar field, we derived the potentials $V(\phi)$ for each $f(R)$…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Beatrice Murorunkwere , Fidele Twagirayezu , Albert Munyeshyaka , Joseph Ntahompagaze , Abraham Ayirwanda

We revisit the inflationary dynamics in detail for theories with Gauss-Bonnet gravity coupled to scalar functions, in light of the Planck data. Considering the chaotic inflationary scenario, we constrain the parameters of two models…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Srijit Bhattacharjee , Debaprasad Maity , Rupak Mukherjee

We show that if the inflaton has a non-minimal coupling to gravity and the Planck scale is dynamically generated, the results of Coleman-Weinberg inflation are confined in between two attractor solutions: quadratic inflation, which is ruled…

High Energy Physics - Phenomenology · Physics 2016-01-18 Kristjan Kannike , Antonio Racioppi , Martti Raidal

The precision reached by the recent CMB measurements gives new insights into the shape of the primordial power spectra of the cosmological perturbations. In the context of inflationary cosmology, this implies that the CMB data are now…

Astrophysics · Physics 2015-10-08 Christophe Ringeval

Based on the dynamics of single scalar field slow-roll inflation and the theory of reheating, we investigate the generalized natural inflationary (GNI) model. Concretely, we give constraints on the scalar spectral index $n_{s}$ and…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-02 Nan Zhang , Ya-Bo Wu , Jun-Wang Lu , Chu-Wen Sun , Li-Jie Shou , Hai-Zhou Xu

We study the low-temperature limit of warm inflation in a hilltop model. This limit remains valid up to the end of inflation, allowing an analytic description of the entire inflationary stage. In the weak dissipative regime, if the kinetic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Juan Carlos Bueno Sanchez , Mar Bastero-Gil , Arjun Berera , Konstantinos Dimopoulos

We derive the reconstruction formulae for the inflation model with the non-minimal derivative coupling term. If reconstructing the potential from the tensor-to-scalar ratio, we could obtain the potential without using the high friction…

General Relativity and Quantum Cosmology · Physics 2020-11-23 Qin Fei , Zhu Yi , Yingjie Yang

We have studied inflationary paradigm through an inflationary equation of state. With a single parameter equation of state as a function of the scalar field responsible for accelerated expansion, we find an observationally viable model…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Barun Kumar Pal

Large field inflation models are favored by the recent BICEP2 that has detected gravitational wave modes generated during inflation. We study general large field inflation models for which the potential contains (constant) quadratic and…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-28 Tatsuo Kobayashi , Osamu Seto

Inflation with a scalar-field potential of the form \lambda (\phi^2-v^2)^2 can be described in terms of a parametrical attractor with critical points, whose driftage depends on the control value of the slowly changing Hubble rate. The…

General Relativity and Quantum Cosmology · Physics 2014-11-20 V. V. Kiselev , S. A. Timofeev

Imposing that the excursion distance of inflaton in field space during inflation be less than the Planck scale, we derive an upper bound on the tensor-to-scalar ratio at the CMB scales, i.e. $r_{*,max}$, in the general canonical…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-01 Qing-Guo Huang

Inverted hybrid inflation (in which the inflaton field slowly rolls away from the origin, giving a spectral index $n\lsim 1$) is an appealing variant of the more usually studied hybrid model. Analysing the model alongside the ordinary…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. F. King , J. Sanderson

The reheating temperature plays a crucial role in the early universe's evolution, marking the transition from inflation to the radiation-dominated era. It directly impacts the number of $e$-folds and, consequently, the observable parameters…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-03 Jaume de Haro , Supriya Pan

We investigate the production of non-thermal dark matter (DM), $\chi$, during post-inflationary reheating era. For inflation, we consider two slow roll single field inflationary scenarios - generalized version of Hilltop (GH) inflation, and…

High Energy Physics - Phenomenology · Physics 2024-04-09 Anish Ghoshal , Maxim Yu. Khlopov , Zygmunt Lalak , Shiladitya Porey

We provide strong evidence for universality of the inflationary field range: given an accurate measurement of $(n_s,r)$, one can infer $\Delta \phi$ in a model-independent way in the sub-Planckian regime for a range of universality classes…

High Energy Physics - Theory · Physics 2015-01-09 Juan Garcia-Bellido , Diederik Roest , Marco Scalisi , Ivonne Zavala

In this paper, we investigate chaotic inflation from scalar field subjected to potential in the framework of $f(R^2, P, Q)$-gravity, where we add a correction to Einstein's gravity based on a function of the square of the Ricci scalar…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Shynaray Myrzakul , Ratbay Myrzakulov , Lorenzo Sebastiani

Recent cosmological observations are in good agreement with the scalar spectral index $n_s$ with $n_s-1\sim -2/N$, where $N$ is the number of e-foldings. Quadratic chaotic model, Starobinsky model and Higgs inflation or $\alpha$-attractors…

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

In this work, we study the effects on the relevant observational parameters of an inflationary universe from a chaotic potential with a step. We numerically evolve the perturbation equations within both cold inflation and warm inflation. On…

General Relativity and Quantum Cosmology · Physics 2023-03-09 Clara Rojas , Rafael Hernández-Jiménez