Parametric Resonance in the Einstein frame: the Jordan-frame Doppelg\"anger
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 t...
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| creator | Seleim, Karim H Arya, Richa Jorás, Sergio E |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2312.13689 |
| format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.2312.13689</identifier><language>eng</language><subject>Physics - Cosmology and Nongalactic Astrophysics ; Physics - General Relativity and Quantum Cosmology</subject><creationdate>2023-12</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2312.13689$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2312.13689$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Seleim, Karim H</creatorcontrib><creatorcontrib>Arya, Richa</creatorcontrib><creatorcontrib>Jorás, Sergio E</creatorcontrib><title>Parametric Resonance in the Einstein frame: the Jordan-frame Doppelg\"anger</title><description>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.</description><subject>Physics - Cosmology and Nongalactic Astrophysics</subject><subject>Physics - General Relativity and Quantum Cosmology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjY00jM0NrOw5GTwDkgsSsxNLSnKTFYISi3Oz0vMS05VyMxTKMlIVXDNzCsuSQVy0kBqrMBiXvlFKYl5umARBZf8goLUnPQYpcS89NQiHgbWtMSc4lReKM3NIO_mGuLsoQu2Nr6gKDM3sagyHmR9PNh6Y8IqAIBhOlc</recordid><startdate>20231221</startdate><enddate>20231221</enddate><creator>Seleim, Karim H</creator><creator>Arya, Richa</creator><creator>Jorás, Sergio E</creator><scope>GOX</scope></search><sort><creationdate>20231221</creationdate><title>Parametric Resonance in the Einstein frame: the Jordan-frame Doppelg\"anger</title><author>Seleim, Karim H ; Arya, Richa ; Jorás, Sergio E</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2312_136893</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Physics - Cosmology and Nongalactic Astrophysics</topic><topic>Physics - General Relativity and Quantum Cosmology</topic><toplevel>online_resources</toplevel><creatorcontrib>Seleim, Karim H</creatorcontrib><creatorcontrib>Arya, Richa</creatorcontrib><creatorcontrib>Jorás, Sergio E</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Seleim, Karim H</au><au>Arya, Richa</au><au>Jorás, Sergio E</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Parametric Resonance in the Einstein frame: the Jordan-frame Doppelg\"anger</atitle><date>2023-12-21</date><risdate>2023</risdate><abstract>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.</abstract><doi>10.48550/arxiv.2312.13689</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Cosmology and Nongalactic Astrophysics Physics - General Relativity and Quantum Cosmology |
| title | Parametric Resonance in the Einstein frame: the Jordan-frame Doppelg\"anger |
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