Reconstructing inflation in scalar-torsion f(T,ϕ) gravity
It is investigated the reconstruction during the slow-roll inflation in the most general class of scalar-torsion theories whose Lagrangian density is an arbitrary function f ( T , ϕ ) of the torsion scalar T of teleparallel gravity and the inflaton ϕ . For the class of theories with Lagrangian densi...
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| creator | Gonzalez-Espinoza, Manuel Herrera, Ramón Otalora, Giovanni Saavedra, Joel |
| description | It is investigated the reconstruction during the slow-roll inflation in the most general class of scalar-torsion theories whose Lagrangian density is an arbitrary function
f
(
T
,
ϕ
)
of the torsion scalar
T
of teleparallel gravity and the inflaton
ϕ
. For the class of theories with Lagrangian density
f
(
T
,
ϕ
)
=
-
M
pl
2
T
/
2
-
G
(
T
)
F
(
ϕ
)
-
V
(
ϕ
)
, with
G
(
T
)
∼
T
s
+
1
and the power
s
as constant, we consider a reconstruction scheme for determining both the non-minimal coupling function
F
(
ϕ
)
and the scalar potential
V
(
ϕ
)
through the parametrization (or attractor) of the scalar spectral index
n
s
(
N
)
and the tensor-to-scalar ratio
r
(
N
) as functions of the number of
e
-
folds
N
. As specific examples, we analyze the attractors
n
s
-
1
∝
1
/
N
and
r
∝
1
/
N
, as well as the case
r
∝
1
/
N
(
N
+
γ
)
with
γ
a dimensionless constant. In this sense and depending on the attractors considered, we obtain different expressions for the function
F
(
ϕ
)
and the potential
V
(
ϕ
)
, as also the constraints on the parameters present in our model and its reconstruction. |
| doi_str_mv | 10.1140/epjc/s10052-021-09542-6 |
| format | Article |
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f
(
T
,
ϕ
)
of the torsion scalar
T
of teleparallel gravity and the inflaton
ϕ
. For the class of theories with Lagrangian density
f
(
T
,
ϕ
)
=
-
M
pl
2
T
/
2
-
G
(
T
)
F
(
ϕ
)
-
V
(
ϕ
)
, with
G
(
T
)
∼
T
s
+
1
and the power
s
as constant, we consider a reconstruction scheme for determining both the non-minimal coupling function
F
(
ϕ
)
and the scalar potential
V
(
ϕ
)
through the parametrization (or attractor) of the scalar spectral index
n
s
(
N
)
and the tensor-to-scalar ratio
r
(
N
) as functions of the number of
e
-
folds
N
. As specific examples, we analyze the attractors
n
s
-
1
∝
1
/
N
and
r
∝
1
/
N
, as well as the case
r
∝
1
/
N
(
N
+
γ
)
with
γ
a dimensionless constant. In this sense and depending on the attractors considered, we obtain different expressions for the function
F
(
ϕ
)
and the potential
V
(
ϕ
)
, as also the constraints on the parameters present in our model and its reconstruction.</description><identifier>ISSN: 1434-6044</identifier><identifier>EISSN: 1434-6052</identifier><identifier>DOI: 10.1140/epjc/s10052-021-09542-6</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Approximation ; Astronomy ; Astrophysics and Cosmology ; Cosmology ; Density ; Elementary Particles ; Gravity ; Hadrons ; Heavy Ions ; Measurement Science and Instrumentation ; Nuclear Energy ; Nuclear Physics ; Parameterization ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Reconstruction ; Regular Article - Theoretical Physics ; String Theory ; Tensors ; Variables</subject><ispartof>The European physical journal. C, Particles and fields, 2021-08, Vol.81 (8), Article 731</ispartof><rights>The Author(s) 2021</rights><rights>The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c383t-e52878cfa74a37c2157fb12c56b401869c118b1ab13fd57eb366af34a7cafc7b3</citedby><cites>FETCH-LOGICAL-c383t-e52878cfa74a37c2157fb12c56b401869c118b1ab13fd57eb366af34a7cafc7b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjc/s10052-021-09542-6$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1140/epjc/s10052-021-09542-6$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,864,27924,27925,41120,41488,42189,42557,51319,51576</link.rule.ids></links><search><creatorcontrib>Gonzalez-Espinoza, Manuel</creatorcontrib><creatorcontrib>Herrera, Ramón</creatorcontrib><creatorcontrib>Otalora, Giovanni</creatorcontrib><creatorcontrib>Saavedra, Joel</creatorcontrib><title>Reconstructing inflation in scalar-torsion f(T,ϕ) gravity</title><title>The European physical journal. C, Particles and fields</title><addtitle>Eur. Phys. J. C</addtitle><description>It is investigated the reconstruction during the slow-roll inflation in the most general class of scalar-torsion theories whose Lagrangian density is an arbitrary function
f
(
T
,
ϕ
)
of the torsion scalar
T
of teleparallel gravity and the inflaton
ϕ
. For the class of theories with Lagrangian density
f
(
T
,
ϕ
)
=
-
M
pl
2
T
/
2
-
G
(
T
)
F
(
ϕ
)
-
V
(
ϕ
)
, with
G
(
T
)
∼
T
s
+
1
and the power
s
as constant, we consider a reconstruction scheme for determining both the non-minimal coupling function
F
(
ϕ
)
and the scalar potential
V
(
ϕ
)
through the parametrization (or attractor) of the scalar spectral index
n
s
(
N
)
and the tensor-to-scalar ratio
r
(
N
) as functions of the number of
e
-
folds
N
. As specific examples, we analyze the attractors
n
s
-
1
∝
1
/
N
and
r
∝
1
/
N
, as well as the case
r
∝
1
/
N
(
N
+
γ
)
with
γ
a dimensionless constant. In this sense and depending on the attractors considered, we obtain different expressions for the function
F
(
ϕ
)
and the potential
V
(
ϕ
)
, as also the constraints on the parameters present in our model and its reconstruction.</description><subject>Approximation</subject><subject>Astronomy</subject><subject>Astrophysics and Cosmology</subject><subject>Cosmology</subject><subject>Density</subject><subject>Elementary Particles</subject><subject>Gravity</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Measurement Science and Instrumentation</subject><subject>Nuclear Energy</subject><subject>Nuclear Physics</subject><subject>Parameterization</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Reconstruction</subject><subject>Regular Article - Theoretical Physics</subject><subject>String Theory</subject><subject>Tensors</subject><subject>Variables</subject><issn>1434-6044</issn><issn>1434-6052</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqFkM1KAzEUhYMoWKvPYMGNgrG5-a87Kf5BQZC6DpmYlCl1piYZoQ_S5_KVTB3Rpat7OJxzLnwInQK5AuBk7NdLN05AiKCYUMBkIjjFcg8NgDOOZfH3fzXnh-gopSUhhHKiB-j62bu2STl2LtfNYlQ3YWVz3TZFjZKzKxtxbmPaOeF8fvm5vRgtov2o8-YYHQS7Sv7k5w7Ry93tfPqAZ0_3j9ObGXZMs4y9oFppF6zililHQahQAXVCVpyAlhMHoCuwFbDwKpSvmJQ2MG6Vs8Gpig3RWb-7ju1751M2y7aLTXlpqJAAjJEJLSnVp1xsU4o-mHWs32zcGCBmB8rsQJkelCmgzDcoI0tT981UGs3Cx7_9_6pflW9vQA</recordid><startdate>20210801</startdate><enddate>20210801</enddate><creator>Gonzalez-Espinoza, Manuel</creator><creator>Herrera, Ramón</creator><creator>Otalora, Giovanni</creator><creator>Saavedra, Joel</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20210801</creationdate><title>Reconstructing inflation in scalar-torsion f(T,ϕ) gravity</title><author>Gonzalez-Espinoza, Manuel ; Herrera, Ramón ; Otalora, Giovanni ; Saavedra, Joel</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c383t-e52878cfa74a37c2157fb12c56b401869c118b1ab13fd57eb366af34a7cafc7b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Approximation</topic><topic>Astronomy</topic><topic>Astrophysics and Cosmology</topic><topic>Cosmology</topic><topic>Density</topic><topic>Elementary Particles</topic><topic>Gravity</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Measurement Science and Instrumentation</topic><topic>Nuclear Energy</topic><topic>Nuclear Physics</topic><topic>Parameterization</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Reconstruction</topic><topic>Regular Article - Theoretical Physics</topic><topic>String Theory</topic><topic>Tensors</topic><topic>Variables</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gonzalez-Espinoza, Manuel</creatorcontrib><creatorcontrib>Herrera, Ramón</creatorcontrib><creatorcontrib>Otalora, Giovanni</creatorcontrib><creatorcontrib>Saavedra, Joel</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>The European physical journal. C, Particles and fields</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gonzalez-Espinoza, Manuel</au><au>Herrera, Ramón</au><au>Otalora, Giovanni</au><au>Saavedra, Joel</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Reconstructing inflation in scalar-torsion f(T,ϕ) gravity</atitle><jtitle>The European physical journal. C, Particles and fields</jtitle><stitle>Eur. Phys. J. C</stitle><date>2021-08-01</date><risdate>2021</risdate><volume>81</volume><issue>8</issue><artnum>731</artnum><issn>1434-6044</issn><eissn>1434-6052</eissn><abstract>It is investigated the reconstruction during the slow-roll inflation in the most general class of scalar-torsion theories whose Lagrangian density is an arbitrary function
f
(
T
,
ϕ
)
of the torsion scalar
T
of teleparallel gravity and the inflaton
ϕ
. For the class of theories with Lagrangian density
f
(
T
,
ϕ
)
=
-
M
pl
2
T
/
2
-
G
(
T
)
F
(
ϕ
)
-
V
(
ϕ
)
, with
G
(
T
)
∼
T
s
+
1
and the power
s
as constant, we consider a reconstruction scheme for determining both the non-minimal coupling function
F
(
ϕ
)
and the scalar potential
V
(
ϕ
)
through the parametrization (or attractor) of the scalar spectral index
n
s
(
N
)
and the tensor-to-scalar ratio
r
(
N
) as functions of the number of
e
-
folds
N
. As specific examples, we analyze the attractors
n
s
-
1
∝
1
/
N
and
r
∝
1
/
N
, as well as the case
r
∝
1
/
N
(
N
+
γ
)
with
γ
a dimensionless constant. In this sense and depending on the attractors considered, we obtain different expressions for the function
F
(
ϕ
)
and the potential
V
(
ϕ
)
, as also the constraints on the parameters present in our model and its reconstruction.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjc/s10052-021-09542-6</doi><oa>free_for_read</oa></addata></record> |
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| source | DOAJ Directory of Open Access Journals; SpringerNature Journals; Springer Nature OA Free Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Approximation Astronomy Astrophysics and Cosmology Cosmology Density Elementary Particles Gravity Hadrons Heavy Ions Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Parameterization Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Reconstruction Regular Article - Theoretical Physics String Theory Tensors Variables |
| title | Reconstructing inflation in scalar-torsion f(T,ϕ) gravity |
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