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We present two scale invariant models of inflation in which the addition of quadratic in curvature terms in the usual Einstein-Hilbert action, in the context of Palatini formulation of gravity, manages to reduce the value of the…

广义相对论与量子宇宙学 · 物理学 2021-07-12 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Antonio Racioppi , Vassilis C. Spanos

It has been previously shown that the linear inflation appears naturally as a solution of Coleman-Weinberg inflation, provided that the inflaton has a non-minimal coupling to gravity and the Planck scale is dynamically generated. We revisit…

宇宙学与河外天体物理 · 物理学 2018-01-09 Antonio Racioppi

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…

高能物理 - 唯象学 · 物理学 2016-01-18 Kristjan Kannike , Antonio Racioppi , Martti Raidal

The Starobinsky model, considered in the framework of the Palatini formalism, in contrast to the metric formulation, does not provide us with a model for inflation, due to the absence of a propagating scalar degree of freedom that can play…

广义相对论与量子宇宙学 · 物理学 2018-11-28 I. Antoniadis , A. Karam , A. Lykkas , K. Tamvakis

In this paper by deriving the Modified Friedmann equation in the Palatini formulation of $R^2$ gravity, first we discuss the problem of whether in Palatini formulation an additional $R^2$ term in Einstein's General Relativity action can…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Xin He Meng , Peng Wang

Theories where the Planck scale is dynamically generated from dimensionless interactions provide predictive inflationary potentials and super-Planckian field variations. We first study the minimal single-field realisation in the low-energy…

宇宙学与河外天体物理 · 物理学 2015-08-28 Kristjan Kannike , Gert Hütsi , Liberato Pizza , Antonio Racioppi , Martti Raidal , Alberto Salvio , Alessandro Strumia

We apply the "systematic" $1^{st}$ order cosmological perturbation theory method to re-derive the formulation of an inflationary model generated by variation of constants, then to study the case where it is non-minimally coupled to gravity…

宇宙学与河外天体物理 · 物理学 2021-10-22 M. AlHallak , A. AlRakik , S. Bitar , N. Chamoun , M. S. Eldaher

In this paper we derive the Modified Friedmann equation in the Palatini formulation of $R^2$ gravity. Then we use it to discuss the problem of whether in Palatini formulation a $R^2$ term can drive an inflation. We show that the Palatini…

天体物理学 · 物理学 2009-11-10 Xinhe Meng , Peng Wang

In the framework of classical scale invariance, we consider quadratic gravity in the Palatini formalism and investigate the inflationary predictions of the theory. Our model corresponds to a two-field scalar-tensor theory, that involves the…

宇宙学与河外天体物理 · 物理学 2021-07-28 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Vassilis C. Spanos

We show that the coexistence of a non-minimal coupling to gravity $f_{\mathcal{R}}=1+c{\mathcal{R}} \phi^{n/2}$ with a kinetic mixing of the form $f_K = f_{\mathcal{R}}^m$ -- where $n=2$ and 4 and $0.5 \le m \le 10$ -- reconciles chaotic…

高能物理 - 唯象学 · 物理学 2025-08-15 C. Pallis

Although natural inflation is a theoretically well-motivated model for cosmic inflation, it is in tension with recent Planck cosmic microwave background anisotropy measurements. We present a way to alleviate this tension by considering a…

宇宙学与河外天体物理 · 物理学 2021-03-25 Yakefu Reyimuaji , Xinyi Zhang

This thesis presents research exploring aspects of inflation and cosmology in the context of inflation models in which an inflaton is non-minimally coupled to the Ricci scalar, or is considered in conjunction with a term quadratic in the…

高能物理 - 唯象学 · 物理学 2022-12-14 Kit Lloyd-Stubbs

Natural Inflation with non-minimal coupling (NMC) to gravity, embodied by a Lagrangian term $\xi \phi^2 R $, is investigated in the context of an extended gravity of the form $R+ \alpha R^2$. The treatment is performed in the Palatini…

宇宙学与河外天体物理 · 物理学 2022-10-12 M. AlHallak , N. Chamoun , M. S. Eldaher

We apply the multiple point criticality principle to inflationary model building and study Coleman-Weinberg inflation when the scalar potential is quadratic in the logarithmic correction. We analyze also the impact of a non-minimal coupling…

宇宙学与河外天体物理 · 物理学 2022-06-28 Antonio Racioppi , Jürgen Rajasalu , Kaspar Selke

We present an introduction to cosmic inflation in the framework of Palatini gravity, which provides an intriguing alternative to the conventional metric formulation of gravity. In the latter, only the metric specifies the spacetime…

广义相对论与量子宇宙学 · 物理学 2025-01-23 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Eemeli Tomberg

We show that upon applying Palatini $f(R)$, characterized by an $\a R^2$-term, within a scenario motivated by a temporal variation of strong coupling constant, then one gets a quadratic kinetic energy. We do not drop this term, but rather…

宇宙学与河外天体物理 · 物理学 2022-02-15 M. AlHallak , A. AlRakik , N. Chamoun , M. S. El-Daher

Classical scale invariance represents a promising framework for model building beyond the Standard Model. However, once coupled to gravity, any scale-invariant microscopic model requires an explanation for the origin of the Planck mass. In…

高能物理 - 唯象学 · 物理学 2019-08-20 Jisuke Kubo , Manfred Lindner , Kai Schmitz , Masatoshi Yamada

We construct a model of quintessential inflation in Palatini $R^2$ gravity employing a scalar field with a simple exponential potential and coupled to gravity with a running non-minimal coupling. At early times, the field acts as the…

广义相对论与量子宇宙学 · 物理学 2022-11-03 Konstantinos Dimopoulos , Alexandros Karam , Samuel Sánchez López , Eemeli Tomberg

We consider a model of quartic inflation where the inflaton is coupled non-minimally to gravity and the self-induced radiative corrections to its effective potential are dominant. We perform a comparative analysis considering two different…

高能物理 - 唯象学 · 物理学 2024-10-08 Antonio Racioppi

Slow-roll inflation is analyzed in the context of modified gravity within the Palatini formalism. As shown in the literature, inflation in this framework requires the presence of non-traceless matter, otherwise it does not occur just as a…

广义相对论与量子宇宙学 · 物理学 2020-11-30 Sabit Bekov , Kairat Myrzakulov , Ratbay Myrzakulov , Diego Sáez-Chillón Gómez
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