The phase-space analysis of modified gravity (MOG)
We investigate the cosmological consequences of a scalar-vector-tensor theory of gravity known as modified gravity (MOG). In MOG, in addition to metric tensor, there are two scalar fields G ( x ) and μ ( x ) , and one vector field ϕ α ( x ) . Using the phase space analysis, we explore the cosmologic...
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| Veröffentlicht in: | The European physical journal. C, Particles and fields Particles and fields, 2016-09, Vol.76 (9), p.1, Article 490 |
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| creator | Jamali, Sara Roshan, Mahmood |
| description | We investigate the cosmological consequences of a scalar-vector-tensor theory of gravity known as modified gravity (MOG). In MOG, in addition to metric tensor, there are two scalar fields
G
(
x
) and
μ
(
x
)
, and one vector field
ϕ
α
(
x
)
. Using the phase space analysis, we explore the cosmological consequences of
a model of
MOG and find some new interesting features which are absent in
Λ
CDM model. More specifically we study the possibility that if the extra fields of this theory behave like dark energy to explain the cosmic speedup. More interestingly, with or without cosmological constant, a strongly phantom crossing occurs. Also we find that this theory in its original form (
Λ
≠
0
) possesses a true sequence of cosmological epochs. However, we show that, surprisingly, there are two radiation-dominated epochs,
f
5
and
f
6
, two matter-dominated phases,
f
3
and
f
4
, and two late time accelerated eras,
f
12
and
f
7
. Depending on the initial conditions the universe will realize only three of these six eras. However, the matter-dominated phases are dramatically different from the standard matter-dominated epoch. In these phases the cosmic scale factor grows as
a
(
t
)
∼
t
0.46
and
t
0.52
, respectively, which are slower than the standard case, i.e.
a
(
t
)
∼
t
2
/
3
. Considering these results we discuss the cosmological viability of MOG. |
| doi_str_mv | 10.1140/epjc/s10052-016-4336-x |
| format | Article |
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G
(
x
) and
μ
(
x
)
, and one vector field
ϕ
α
(
x
)
. Using the phase space analysis, we explore the cosmological consequences of
a model of
MOG and find some new interesting features which are absent in
Λ
CDM model. More specifically we study the possibility that if the extra fields of this theory behave like dark energy to explain the cosmic speedup. More interestingly, with or without cosmological constant, a strongly phantom crossing occurs. Also we find that this theory in its original form (
Λ
≠
0
) possesses a true sequence of cosmological epochs. However, we show that, surprisingly, there are two radiation-dominated epochs,
f
5
and
f
6
, two matter-dominated phases,
f
3
and
f
4
, and two late time accelerated eras,
f
12
and
f
7
. Depending on the initial conditions the universe will realize only three of these six eras. However, the matter-dominated phases are dramatically different from the standard matter-dominated epoch. In these phases the cosmic scale factor grows as
a
(
t
)
∼
t
0.46
and
t
0.52
, respectively, which are slower than the standard case, i.e.
a
(
t
)
∼
t
2
/
3
. Considering these results we discuss the cosmological viability of MOG.</description><identifier>ISSN: 1434-6044</identifier><identifier>EISSN: 1434-6052</identifier><identifier>DOI: 10.1140/epjc/s10052-016-4336-x</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Analysis ; Astronomy ; Astrophysics and Cosmology ; Dark energy ; Elementary Particles ; Gravity (Force) ; Hadrons ; Heavy Ions ; Measurement Science and Instrumentation ; Nuclear Energy ; Nuclear Physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Regular Article - Theoretical Physics ; String Theory</subject><ispartof>The European physical journal. C, Particles and fields, 2016-09, Vol.76 (9), p.1, Article 490</ispartof><rights>The Author(s) 2016</rights><rights>COPYRIGHT 2016 Springer</rights><rights>The European Physical Journal C is a copyright of Springer, 2016.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c452t-c16a1686c99ea50bef9215401987ca223c67f2c7ea97562e7c078247b78b39353</citedby><cites>FETCH-LOGICAL-c452t-c16a1686c99ea50bef9215401987ca223c67f2c7ea97562e7c078247b78b39353</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/s10052-016-4336-x$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1140/epjc/s10052-016-4336-x$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,27903,27904,41099,41467,42168,42536,51298,51555</link.rule.ids></links><search><creatorcontrib>Jamali, Sara</creatorcontrib><creatorcontrib>Roshan, Mahmood</creatorcontrib><title>The phase-space analysis of modified gravity (MOG)</title><title>The European physical journal. C, Particles and fields</title><addtitle>Eur. Phys. J. C</addtitle><description>We investigate the cosmological consequences of a scalar-vector-tensor theory of gravity known as modified gravity (MOG). In MOG, in addition to metric tensor, there are two scalar fields
G
(
x
) and
μ
(
x
)
, and one vector field
ϕ
α
(
x
)
. Using the phase space analysis, we explore the cosmological consequences of
a model of
MOG and find some new interesting features which are absent in
Λ
CDM model. More specifically we study the possibility that if the extra fields of this theory behave like dark energy to explain the cosmic speedup. More interestingly, with or without cosmological constant, a strongly phantom crossing occurs. Also we find that this theory in its original form (
Λ
≠
0
) possesses a true sequence of cosmological epochs. However, we show that, surprisingly, there are two radiation-dominated epochs,
f
5
and
f
6
, two matter-dominated phases,
f
3
and
f
4
, and two late time accelerated eras,
f
12
and
f
7
. Depending on the initial conditions the universe will realize only three of these six eras. However, the matter-dominated phases are dramatically different from the standard matter-dominated epoch. In these phases the cosmic scale factor grows as
a
(
t
)
∼
t
0.46
and
t
0.52
, respectively, which are slower than the standard case, i.e.
a
(
t
)
∼
t
2
/
3
. Considering these results we discuss the cosmological viability of MOG.</description><subject>Analysis</subject><subject>Astronomy</subject><subject>Astrophysics and Cosmology</subject><subject>Dark energy</subject><subject>Elementary Particles</subject><subject>Gravity (Force)</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Measurement Science and Instrumentation</subject><subject>Nuclear Energy</subject><subject>Nuclear Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Regular Article - Theoretical Physics</subject><subject>String Theory</subject><issn>1434-6044</issn><issn>1434-6052</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</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>eNp9kN9LAkEQx5coyKx_IQ56yYfT_b23jyJlgiGUPS_rOneeqHftnqH_fSsXkS8xDzMM388wfBC6J7hPCMcDqNduEAjGgqaYyJQzJtPDBeoQzngq4_ryd-b8Gt2EsMYYU46zDqLzFST1ygZIQ20dJHZnN8dQhqTKk221LPMSlknh7VfZHJPH19m4d4uucrsJcPfTu-jj-Wk-ekmns_FkNJymjgvapI5IS2QmndZgBV5ArikRHBOdKWcpZU6qnDoFVishKSiHVUa5WqhswTQTrIse2ru1rz73EBqzrvY-vhcMybjUKl7nMdVvU4XdgCl3edV462ItYVu6agd5GfdDgSmTVGgZgd4ZEDMNHJrC7kMwk_e386xss85XIXjITe3LrfVHQ7A5yTcn-aaVb6J8c5JvDhFULRgisCvA__n9f_IbriKHUA</recordid><startdate>20160907</startdate><enddate>20160907</enddate><creator>Jamali, Sara</creator><creator>Roshan, Mahmood</creator><general>Springer Berlin Heidelberg</general><general>Springer</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</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>20160907</creationdate><title>The phase-space analysis of modified gravity (MOG)</title><author>Jamali, Sara ; Roshan, Mahmood</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c452t-c16a1686c99ea50bef9215401987ca223c67f2c7ea97562e7c078247b78b39353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Analysis</topic><topic>Astronomy</topic><topic>Astrophysics and Cosmology</topic><topic>Dark energy</topic><topic>Elementary Particles</topic><topic>Gravity (Force)</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Measurement Science and Instrumentation</topic><topic>Nuclear Energy</topic><topic>Nuclear Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Regular Article - Theoretical Physics</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jamali, Sara</creatorcontrib><creatorcontrib>Roshan, Mahmood</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>Gale In Context: Science</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>Jamali, Sara</au><au>Roshan, Mahmood</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The phase-space analysis of modified gravity (MOG)</atitle><jtitle>The European physical journal. C, Particles and fields</jtitle><stitle>Eur. Phys. J. C</stitle><date>2016-09-07</date><risdate>2016</risdate><volume>76</volume><issue>9</issue><spage>1</spage><pages>1-</pages><artnum>490</artnum><issn>1434-6044</issn><eissn>1434-6052</eissn><abstract>We investigate the cosmological consequences of a scalar-vector-tensor theory of gravity known as modified gravity (MOG). In MOG, in addition to metric tensor, there are two scalar fields
G
(
x
) and
μ
(
x
)
, and one vector field
ϕ
α
(
x
)
. Using the phase space analysis, we explore the cosmological consequences of
a model of
MOG and find some new interesting features which are absent in
Λ
CDM model. More specifically we study the possibility that if the extra fields of this theory behave like dark energy to explain the cosmic speedup. More interestingly, with or without cosmological constant, a strongly phantom crossing occurs. Also we find that this theory in its original form (
Λ
≠
0
) possesses a true sequence of cosmological epochs. However, we show that, surprisingly, there are two radiation-dominated epochs,
f
5
and
f
6
, two matter-dominated phases,
f
3
and
f
4
, and two late time accelerated eras,
f
12
and
f
7
. Depending on the initial conditions the universe will realize only three of these six eras. However, the matter-dominated phases are dramatically different from the standard matter-dominated epoch. In these phases the cosmic scale factor grows as
a
(
t
)
∼
t
0.46
and
t
0.52
, respectively, which are slower than the standard case, i.e.
a
(
t
)
∼
t
2
/
3
. Considering these results we discuss the cosmological viability of MOG.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjc/s10052-016-4336-x</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1434-6044 |
| ispartof | The European physical journal. C, Particles and fields, 2016-09, Vol.76 (9), p.1, Article 490 |
| issn | 1434-6044 1434-6052 |
| language | eng |
| recordid | cdi_proquest_journals_1846971684 |
| source | DOAJ Directory of Open Access Journals; SpringerLink Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Springer Nature OA Free Journals |
| subjects | Analysis Astronomy Astrophysics and Cosmology Dark energy Elementary Particles Gravity (Force) Hadrons Heavy Ions Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article - Theoretical Physics String Theory |
| title | The phase-space analysis of modified gravity (MOG) |
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