Parametric Resonance in the Einstein frame: the Jordan-frame Doppelgänger

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 \(\tilde\phi\) in the so-called Einstein Frame via a conform...

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Bibliographic Details
Published inarXiv.org
Main Authors Seleim, Karim H, Arya, Richa, Jorás, Sergio E
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.12.2023
Subjects
Conformal mapping
Heating
Relativity
Resonance
Scalars
Structural stability
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Summary: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 \(\tilde\phi\) in the so-called Einstein Frame via a conformal transformation is a major tool in this class of theories. Here, we assume three different potentials \(V(\tilde\phi)\) and a parametric-resonance coupling between \(\tilde\phi\) and a secondary scalar field \(\tilde\psi\) such that one can have both inflation and preheating in the Einstein frame. We study the instability resonance band structure for our models. Further, we determine the correspondent mechanism -- and the function \(f(R)\) itself -- in the Jordan frame, that is possibly related to the so-called vacuum awakening mechanism.
ISSN:2331-8422