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Related papers: Tabletop potentials for inflation from $f(R)$ grav…

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The $R+R^2$ model of gravity with the corresponding shallow potential in the Einstein frame is consistent with the observations. Recently, many efforts have been made to generalize the $R+R^2$ (Starobinsky) model of inflation or use other…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Masud Chaichian , Amir Ghal'e , Markku Oksanen

In this work we re-investigate pros and cons of mutated hilltop inflation. Applying Hamilton-Jacobi formalism we solve inflationary dynamics and find that inflation goes on along the ${\cal W}_{-1}$ branch of the Lambert function. Depending…

General Relativity and Quantum Cosmology · Physics 2018-05-15 Barun Kumar Pal

In this note we demonstrate that chaotic inflation can naturally be realized in the context of an anomaly free minimal gauged supergravity in D=6 which has recently been the focus of some attention. This particular model has a unique…

High Energy Physics - Theory · Physics 2008-11-26 Robert H. Brandenberger , S. Randjbar-Daemi

Within General Relativity, a minimally coupled scalar field governed by a quadratic potential is able to produce an accelerated expansion of the universe provided its value and excursion are larger than the Planck scale. This is an…

High Energy Physics - Theory · Physics 2021-02-03 Jose D. Edelstein , Robert B. Mann , David Vázquez Rodríguez , Alejandro Vilar López

Transforming canonical scalars to the Einstein frame can give a multi-field generalization of pole inflation (namely, a scalar with a divergent kinetic term) at vanishing field-dependent Planck mass. However, to obtain an attractor, the…

High Energy Physics - Theory · Physics 2022-09-07 Sotirios Karamitsos , Alessandro Strumia

We consider global issues in minimal supergravity models where a single field inflaton potential emerges. In a particular case we reproduce the Starobinsky model and its description dual to a certain formulation of R+R^2 supergravity. For…

High Energy Physics - Theory · Physics 2015-06-18 Sergio Ferrara , Pietro Fre , Alexander S. Sorin

The recent detection by the BICEP2 collaboration of a high level of tensor modes seems to exclude the Starobinsky model of inflation. In this paper we show that this conclusion can be avoided: one can embed the Starobinsky model in…

High Energy Physics - Theory · Physics 2015-06-19 Sergio Ferrara , Alex Kehagias , Antonio Riotto

As part of our program to develop a general theory of relativity for open systems, we introduce a covariant theory that incorporates the effects of classical and quantum spacetime alterations in a new metric tensor that effectively includes…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Alan Sebastián Morales , Mauricio Bellini , Juan Ignacio Musmarra

Inflationary models derived from $f(R)$ gravity, where the scalaron rolls down with a constant rate from the top to the minimum of the effective potential, are considered. Specifically, we take into account three $f(R)$ models…

General Relativity and Quantum Cosmology · Physics 2021-08-16 Mehdi Shokri , Mohammad Reza Setare , Salvatore Capozziello , Jafar Sadeghi

In this paper, we employ the Palatini formalism to investigate the dynamics of large-field inflation using a renormalizable polynomial inflaton potential in the context of $f(R,\phi)$ gravity. Assuming instant reheating, we make a…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-20 Nilay Bostan , Canan Karahan , Ozan Sargın

In this work we shall study $k$-inflation theories with non-minimal coupling of the scalar field to gravity, in the presence of only a higher order kinetic term of the form $\sim \mathrm{const}\times X^{\mu}$, with…

General Relativity and Quantum Cosmology · Physics 2021-01-05 V. K. Oikonomou

Models of induced-gravity inflation are formulated within Supergravity employing as inflaton the Higgs field which leads to a spontaneous breaking of a U(1)_{B-L} symmetry at Mgut=2x10^16 GeV. We use a renormalizable superpotential, fixed…

High Energy Physics - Phenomenology · Physics 2023-11-16 C. Pallis

New exact inflationary solutions are presented in the scalar field theory, minimally coupled to gravity, with a potential term. No use is made of the slow rollover approximation. The scale factors are completely nonsingular and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Kuiroukidis , D. B. Papadopoulos

In this work, we study inflation with the non-minimally coupled quadratic, Standard Model (SM) Higgs and hilltop potentials through $\xi \phi^2R$ term in the Palatini gravity. We first analyze observational parameters of Palatini quadratic…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-11 Nilay Bostan

In the general framework of Metric-Affine theories of gravity, where the metric and the connection are independent variables, we consider actions quadratic in the Ricci scalar curvature and the Holst invariant (the contraction of the…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Ioannis D. Gialamas , Kyriakos Tamvakis

We consider, in the context of a braneworld cosmology, the motion of the universe coupled to a four-form gauge field, with constant field strength, defined in higher dimensions. It is found, under rather general initial conditions, that in…

High Energy Physics - Theory · Physics 2017-01-18 Jeff Greensite

We propose a topological inflation model in the framework of supergravity with $R$ invariance. This topological inflation model is not only free from the initial value problem of the inflaton field but also gives low reheating temperature…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. -I. Izawa , M. Kawasaki , T. Yanagida

In this paper, we study the global phase space dynamics of single nonminimally coupled scalar field inflation models in the metric and Palatini formalisms. Working in the Jordan frame, we derive the scalar-tensor general field equations and…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Laur Järv , Sotirios Karamitsos , Margus Saal

Solid inflation is a cosmological model where inflation is driven by fields which enter the Lagrangian in the same way as body coordinates of a solid matter enter the equation of state, spontaneously breaking spatial translational and…

General Relativity and Quantum Cosmology · Physics 2019-03-18 Peter Mészáros

We investigate a standard minimally-coupled scalar-field inflationary scenario, which is based on a new potential, with suitably generalized plateau features, that leads to extra small tensor-to-scalar ratios. In particular, we consider a…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-13 Gerasimos Kouniatalis , Emmanuel N. Saridakis
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