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The previously introduced class of two-parametric phenomenological inflationary models in General Relativity in which the slow-roll assumption is replaced by the more general, constant-roll condition is generalized to the case of $f(R)$…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-15 Hayato Motohashi , Alexei A. Starobinsky

We study single-field slow-roll inflation embedded in Palatini $F(R)$ gravity where $F(R)$ grows faster than $R^2$. Surprisingly, the consistency of the theory requires the Jordan frame inflaton potential to be unbounded from below. Even…

General Relativity and Quantum Cosmology · Physics 2024-03-21 Christian Dioguardi , Antonio Racioppi , Eemeli Tomberg

Physical equivalence between different conformal frames in scalar-tensor theory of gravity is a known fact. However, assuming that matter minimally couples to the metric of a particular frame, which we call the matter Jordan frame, the…

General Relativity and Quantum Cosmology · Physics 2015-10-16 Guillem Domènech , Misao Sasaki

The accelerated expansion of the universe demands presence of an exotic matter, namely the dark energy. Though the cosmological constant fits this role very well, a scalar field minimally coupled to gravity, or quintessence, can also be…

General Relativity and Quantum Cosmology · Physics 2021-12-09 Dipayan Mukherjee , H. K. Jassal , Kinjalk Lochan

We revisit the question of frame equivalence in Quantum Field Theory in the presence of gravity, a situation of relevance for theories aiming to describe the early Universe dynamics and Inflation in particular. We show that in those cases,…

High Energy Physics - Theory · Physics 2019-09-04 Kevin Falls , Mario Herrero-Valea

We embed general $f(R)$ inflationary models in minimal supergravity plus matter, a single chiral superfield $\Phi$, with or without another superfield $S$, via a Jordan frame Einstein+scalar description. In particular, inflationary models…

High Energy Physics - Theory · Physics 2016-02-17 Horatiu Nastase

We study models of quartic inflation where the inflaton field $\phi$ is coupled non-minimally to gravity, $\xi \phi^2 R$, and perform a study of quantum corrections in curved space-time at one-loop level. We specifically focus on comparing…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Tommi Markkanen , Tommi Tenkanen , Ville Vaskonen , Hardi Veermäe

By using a bottom-up reconstruction technique for non-minimally coupled scalar-tensor theories, we realize the Einstein frame attractor cosmologies in the $\Omega (\phi)$-Jordan frame. For our approach, what is needed for the reconstruction…

General Relativity and Quantum Cosmology · Physics 2018-04-04 S. D. Odintsov , V. K. Oikonomou

We consider an $f(R)$ action that is non-minimally coupled to a massive scalar field. The model closely resembles scalar-tensor theory and by conformal transformation can be transformed to Einstein frame. To avoid the ambiguity of the frame…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Jose Mathew , Joseph P Johnson , S. Shankaranarayanan

The $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. The scalar field couples with the matter sector and the coupling term is given by the…

General Relativity and Quantum Cosmology · Physics 2011-03-07 Yousef Bisabr

Scalar-Tensor theories of gravity can be formulated in different frames, most notably, the Einstein and the Jordan one. While some debate still persists in the literature on the physical status of the different frames, a frame…

Astrophysics · Physics 2008-11-26 R. Catena , M. Pietroni , L. Scarabello

In the context of $F(\phi)R$ models of gravity, the conformal invariance of the curvature perturbation on uniform-field slices has been already demonstrated in several publications. In this work we study the curvature perturbation…

General Relativity and Quantum Cosmology · Physics 2023-11-01 José Jaime Terente Díaz , Mindaugas Karčiauskas

We develop a local reconstruction framework between $\Phi(R,\phi,X)$ theories with linear dependence on $X$ and generalized hybrid metric--Palatini gravity. The construction is formulated in vacuum in the Einstein frame, where both…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Jonathan Ramírez

We inaugurate a framework for studying preheating and parametric resonance after inflation without resorting to any approximations, either in gravitational perturbation theory or in the evolution of the field(s). We do this by numerically…

High Energy Physics - Phenomenology · Physics 2010-01-06 Matthew Parry , Richard Easther

We study the finite time singularity correspondence between the Jordan and Einstein frames for various $F(R)$ gravity theories. Particularly we investigate the ordinary pure $F(R)$ gravity case and the unimodular $F(R)$ gravity cases, in…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Sebastian Bahamonde , S. D. Odintsov , V. K. Oikonomou , Matthew Wright

$f(R)$-Gravity, a simple generalization of Einstein's General theory of Relativity has been considered in the context of Cosmology as one of the approaches to explain phenomena such as early-time inflation and late-time accelerated…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Gahan Chattopadhyay , Soumitra Sengupta

We revisit the problem of generality of Starobinsky and Higgs inflation. The known results obtained in the Einstein frame are generalized for the case of an arbitrary initial energy of the scalar field. These results are compared with the…

General Relativity and Quantum Cosmology · Physics 2021-06-21 Swagat S. Mishra , Daniel Müller , Aleksey V. Toporensky

We study the power spectra of f(R) inflation using a new technique in which the norm-squared of the mode functions is evolved. Our technique results in excellent analytic approximations for how the spectra depend upon the function $f(R)$.…

General Relativity and Quantum Cosmology · Physics 2016-09-08 D. J. Brooker , S. D. Odintsov , R. P. Woodard

No experiment can measure an absolute scale: every dimensionfull quantity has to be compared to some fixed unit scale in order to be measured, and thus only dimensionless quantities are really physical. The Einstein and Jordan frame are…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-19 Marieke Postma , Marco Volponi

It is well-known that $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. In this case, the scalar field couples with the matter sector and the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Yousef Bisabr