Analytical soliton-like solutions of the electromagnetic and scalar fields equation in minimal coupling
Taking into account the proper gravitational field of the elementary particles, we have firstly determined the exact, static, spherical, symmetric solutions of the nonlinear electromagnetic and scalar fields equation in minimal coupling, considering all forms of the function S ( k , ξ ) . It is show...
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| Veröffentlicht in: | European physical journal plus 2022-03, Vol.137 (3), p.321, Article 321 |
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| creator | Yamadjako, Arnaud Edouard Adomou, Alain Kpomahou, Y. J. Fernando Massou, Siaka |
| description | Taking into account the proper gravitational field of the elementary particles, we have firstly determined the exact, static, spherical, symmetric solutions of the nonlinear electromagnetic and scalar fields equation in minimal coupling, considering all forms of the function
S
(
k
,
ξ
)
. It is showed that all metrics functions and solutions of the interacting field equation are regular with the localized energy density. The total energy of interacting fields
E
f
is finite and the total charge of the particles
Q
is finite. Finally, the stability analysis of electric scalar potential and metric functions is studied. As results, it is found that all the studied configurations are stable on the range
[
0
,
ξ
c
]
. |
| doi_str_mv | 10.1140/epjp/s13360-022-02541-w |
| format | Article |
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S
(
k
,
ξ
)
. It is showed that all metrics functions and solutions of the interacting field equation are regular with the localized energy density. The total energy of interacting fields
E
f
is finite and the total charge of the particles
Q
is finite. Finally, the stability analysis of electric scalar potential and metric functions is studied. As results, it is found that all the studied configurations are stable on the range
[
0
,
ξ
c
]
.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/s13360-022-02541-w</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied and Technical Physics ; Atomic ; Complex Systems ; Condensed Matter Physics ; Coupling ; Electromagnetism ; Elementary particles ; Energy ; Gravitational fields ; Mathematical analysis ; Mathematical and Computational Physics ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Regular Article ; Scalars ; Solitary waves ; Stability analysis ; Theoretical</subject><ispartof>European physical journal plus, 2022-03, Vol.137 (3), p.321, Article 321</ispartof><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022</rights><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c280t-ad18f14b7190f0a8a0d114aca16603a5e9d69b6b5a69d5f9be310e459d48e6243</cites><orcidid>0000-0003-0142-7703 ; 0000-0003-4496-818X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjp/s13360-022-02541-w$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2919718481?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>315,781,785,21390,27926,27927,33746,41490,42559,43807,51321,64387,64391,72471</link.rule.ids></links><search><creatorcontrib>Yamadjako, Arnaud Edouard</creatorcontrib><creatorcontrib>Adomou, Alain</creatorcontrib><creatorcontrib>Kpomahou, Y. J. Fernando</creatorcontrib><creatorcontrib>Massou, Siaka</creatorcontrib><title>Analytical soliton-like solutions of the electromagnetic and scalar fields equation in minimal coupling</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>Taking into account the proper gravitational field of the elementary particles, we have firstly determined the exact, static, spherical, symmetric solutions of the nonlinear electromagnetic and scalar fields equation in minimal coupling, considering all forms of the function
S
(
k
,
ξ
)
. It is showed that all metrics functions and solutions of the interacting field equation are regular with the localized energy density. The total energy of interacting fields
E
f
is finite and the total charge of the particles
Q
is finite. Finally, the stability analysis of electric scalar potential and metric functions is studied. As results, it is found that all the studied configurations are stable on the range
[
0
,
ξ
c
]
.</description><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Coupling</subject><subject>Electromagnetism</subject><subject>Elementary particles</subject><subject>Energy</subject><subject>Gravitational fields</subject><subject>Mathematical analysis</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article</subject><subject>Scalars</subject><subject>Solitary waves</subject><subject>Stability analysis</subject><subject>Theoretical</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqFkF9LwzAUxYMoOOY-gwGf63LbtGsex_AfDHzR55C2tzUzS7qkZezbmzpB37wQ7g2c3-HeQ8gtsHsAzpbY7_plgCwrWMLSNL6cQ3K8ILMUBEtyzvnln_maLELYsVhcABd8Rrq1VeY06FoZGpzRg7OJ0Z84fcZBOxuoa-nwgRQN1oN3e9VZjHqqbENDxJSnrUbTBIqHUU0I1ZbutdX76Fm7sTfadjfkqlUm4OKnz8n748Pb5jnZvj69bNbbpE5LNiSqgbIFXq3ixi1TpWJNvFPVCoqCZSpH0RSiKqpcFaLJW1FhBgx5LhpeYpHybE7uzr69d4cRwyB3bvTxxiBTAWIFJS8hqlZnVe1dCB5b2fu4rj9JYHIKVk7BynOwMgYrv4OVx0iWZzJEwnbof_3_Q78ANpmBgQ</recordid><startdate>20220301</startdate><enddate>20220301</enddate><creator>Yamadjako, Arnaud Edouard</creator><creator>Adomou, Alain</creator><creator>Kpomahou, Y. 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Fernando ; Massou, Siaka</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c280t-ad18f14b7190f0a8a0d114aca16603a5e9d69b6b5a69d5f9be310e459d48e6243</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Applied and Technical Physics</topic><topic>Atomic</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Coupling</topic><topic>Electromagnetism</topic><topic>Elementary particles</topic><topic>Energy</topic><topic>Gravitational fields</topic><topic>Mathematical analysis</topic><topic>Mathematical and Computational Physics</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regular Article</topic><topic>Scalars</topic><topic>Solitary waves</topic><topic>Stability analysis</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yamadjako, Arnaud Edouard</creatorcontrib><creatorcontrib>Adomou, Alain</creatorcontrib><creatorcontrib>Kpomahou, Y. 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Fernando</creatorcontrib><creatorcontrib>Massou, Siaka</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>European physical journal plus</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yamadjako, Arnaud Edouard</au><au>Adomou, Alain</au><au>Kpomahou, Y. J. Fernando</au><au>Massou, Siaka</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical soliton-like solutions of the electromagnetic and scalar fields equation in minimal coupling</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2022-03-01</date><risdate>2022</risdate><volume>137</volume><issue>3</issue><spage>321</spage><pages>321-</pages><artnum>321</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>Taking into account the proper gravitational field of the elementary particles, we have firstly determined the exact, static, spherical, symmetric solutions of the nonlinear electromagnetic and scalar fields equation in minimal coupling, considering all forms of the function
S
(
k
,
ξ
)
. It is showed that all metrics functions and solutions of the interacting field equation are regular with the localized energy density. The total energy of interacting fields
E
f
is finite and the total charge of the particles
Q
is finite. Finally, the stability analysis of electric scalar potential and metric functions is studied. As results, it is found that all the studied configurations are stable on the range
[
0
,
ξ
c
]
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| subjects | Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Coupling Electromagnetism Elementary particles Energy Gravitational fields Mathematical analysis Mathematical and Computational Physics Molecular Optical and Plasma Physics Physics Physics and Astronomy Regular Article Scalars Solitary waves Stability analysis Theoretical |
| title | Analytical soliton-like solutions of the electromagnetic and scalar fields equation in minimal coupling |
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