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Modified $f(R)$ theories of gravity have been investigated for quite a long time in the literature as a possible explanation for the inflationary period of the universe. The correspondence to General Relativity with an extra scalar field…

广义相对论与量子宇宙学 · 物理学 2023-12-22 Karim H. Seleim , Richa Arya , Sergio E. Jorás

We consider the relation between exact solutions of cosmological models having minimally and non-minimally coupled scalar fields. This is done for a particular class of solvable models which, in the Einstein frame, have potentials depending…

广义相对论与量子宇宙学 · 物理学 2015-12-15 A. Yu. Kamenshchik , E. O. Pozdeeva , A. Tronconi , G. Venturi , S. Yu. Vernov

In this paper, we conduct a study on the scalar field obtained from $\mathit{f(R)}$ gravity via Weyl transformation of the spacetime metric $g_{\mu\nu}$ from the Jordan frame to the Einstein frame. The scalar field is obtained as a result…

广义相对论与量子宇宙学 · 物理学 2021-12-28 Nashiba Parbin , Umananda Dev Goswami

We present a formalism to study screening mechanisms in modified theories of gravity via perturbative methods in different cosmological scenarios. We consider Einstein frame posed theories that are recast as Jordan frame theories, where a…

宇宙学与河外天体物理 · 物理学 2019-01-30 Alejandro Aviles , Jorge L. Cervantes-Cota , David F. Mota

To explore possibilities of avoiding coincidence problem in $f(R)$ gravity we consider models in Einstein conformal frame which are equivalent to Einstein gravity with a minimally coupled scalar field. As the conformal factor determines the…

广义相对论与量子宇宙学 · 物理学 2013-02-05 A. Sil , S. Som

We propose a model of dark energy consists of a single scalar field with a general non-minimal kinetic couplings to itself and to the curvature. We study the cosmological dynamics of the equation of state in this setup. The coupling terms…

综合物理 · 物理学 2015-06-05 A. Banijamali , B. Fazlpour

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…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Yousef Bisabr

We study the question of whether two frames of a given physical theory are equivalent or not in the presence of quantum corrections. By using field theory arguments we claim that equivalence is broken in the presence of anomalous symmetries…

高能物理 - 理论 · 物理学 2016-06-01 Mario Herrero-Valea

We consider the inflation model of a singlet scalar field (sigma field) with both quadratic and linear non-minimal couplings where unitarity is ensured up to the Planck scale. We assume that a $Z_2$ symmetry for the sigma field is respected…

高能物理 - 唯象学 · 物理学 2019-10-31 Soo-Min Choi , Yoo-Jin Kang , Hyun Min Lee , Kimiko Yamashita

Dark energy dynamics of the universe can be achieved by equivalent mathematical descriptions taking into account generalized fluid equations of state in General Relativity, scalar-tensor theories or modified F(R) gravity in Einstein or…

高能物理 - 理论 · 物理学 2008-11-26 S. Capozziello , S. Nojiri , S. D. Odintsov

In recent years, gravitational models motivated by quantum corrections to gravity which introduce higher order terms like $R^{2}$ or terms in which the Riemann tensor is not symmetric have been studied by several authors in the form of a…

广义相对论与量子宇宙学 · 物理学 2023-03-03 R. Gonzalez Quaglia , Gabriel German

In this work, we investigate the possibility of generating an inflationary mechanism within the framework of a metric-$f(R)$ modified gravity theory, formulated in the Jordan frame. We explore whether the scalar field, non-minimally coupled…

宇宙学与河外天体物理 · 物理学 2025-07-21 Elisa Fazzari , Chiara De Leo , Giovanni Montani , Matteo Martinelli , Alessandro Melchiorri , Guadalupe Cañas-Herrera

We discuss the conformal symmetry between Jordan and Einstein frames considering their relations with the metric and Palatini formalisms for modified gravity. Appropriate conformal transformations are taken into account leading to the…

广义相对论与量子宇宙学 · 物理学 2010-12-09 Salvatore Capozziello , Farhad Darabi , Daniele Vernieri

In the present article we study the cosmological evolution of a two-scalar field gravitational theory defined in the Jordan frame. Specifically, we assume one of the scalar fields to be minimally coupled to gravity, while the second field…

广义相对论与量子宇宙学 · 物理学 2020-03-18 Alex Giacomini , Genly Leon , Andronikos Paliathanasis , Supriya Pan

We investigate the global dynamics of the field equations of (pure) quadratic theories of gravity which generalise Einstein's theory in spatially flat homogeneous and isotropic cosmological models with a perfect fluid. We introduce global…

广义相对论与量子宇宙学 · 物理学 2026-03-11 Artur Alho , Margarida Lima , Filipe C. Mena

The superconformal action can be gauge-fixed in a gauge where is leads to the Einstein frame supergravity defined by a Kahler potential $K(z, \bar z)$, or in a gauge where it leads to a Jordan frame supergravity defined by the frame…

高能物理 - 理论 · 物理学 2026-05-19 Renata Kallosh

Quantization in the minisuperspace of non minimal scalar-tensor theories leads to a partial differential equation which is non separable. Through a conformal transformation we can recast the Wheeler-DeWitt equation in an integrable form,…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Julio C. Fabris , Nelson Pinto-Neto , A. F. Velasco

The conformal correspondence between FLRW universes in the Einstein and Jordan frames allows for an expansion-collapse duality -- an always expanding Einstein frame universe can have a dual Jordan frame description that is contracting…

广义相对论与量子宇宙学 · 物理学 2023-09-12 Dipayan Mukherjee , Harkirat Singh Sahota

We investigate canonical, phantom and quintom models, with the various fields being non-minimally coupled to gravity, in the framework of holographic dark energy. We classify them and we discuss their cosmological implications. In…

高能物理 - 理论 · 物理学 2009-11-13 M. R. Setare , E. N. Saridakis

We here explore a specific class of scalar field, dubbed quasi-quintessence which exhibits characteristics akin to ordinary matter. Specifically, we investigate under which conditions this fluid can mitigate the classical cosmological…

广义相对论与量子宇宙学 · 物理学 2023-09-07 Orlando Luongo , Tommaso Mengoni