Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra
<div><p>Algorithms to construct the optimal systems of dimension of at most three of Lie algebras are given. These algorithms are applied to determine the Lie algebra structure and optimal systems of the symmetries of the wave equation on static spherically symmetric spacetimes admitting...
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2018
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| _version_ | 1864513525903261696 |
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| author | Hassan Azad (14150850) |
| author2 | Khaleel Anaya (18091174) Ahmad Al-Dweik (18091177) M. Mustafa (705036) |
| author2_role | author author author |
| author_facet | Hassan Azad (14150850) Khaleel Anaya (18091174) Ahmad Al-Dweik (18091177) M. Mustafa (705036) |
| author_role | author |
| dc.creator.none.fl_str_mv | Hassan Azad (14150850) Khaleel Anaya (18091174) Ahmad Al-Dweik (18091177) M. Mustafa (705036) |
| dc.date.none.fl_str_mv | 2018-11-23T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.3390/sym10120665 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Invariant_Solutions_of_the_Wave_Equation_on_Static_Spherically_Symmetric_Spacetimes_Admitting_G7_Isometry_Algebra/25331329 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Mathematical physics Physical sciences Astronomical sciences wave equation spherically symmetric spacetimes lie symmetries roots optimal systems invariant solutions |
| dc.title.none.fl_str_mv | Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <div><p>Algorithms to construct the optimal systems of dimension of at most three of Lie algebras are given. These algorithms are applied to determine the Lie algebra structure and optimal systems of the symmetries of the wave equation on static spherically symmetric spacetimes admitting G7 as an isometry algebra. Joint invariants and invariant solutions corresponding to three-dimensional optimal systems are also determined.</p><p> </p></div><h2>Other Information</h2> <p> Published in: Symmetry<br> License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/sym10120665" target="_blank">https://dx.doi.org/10.3390/sym10120665</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_58396ffcc483e5b90361e14a2ed25ef2 |
| identifier_str_mv | 10.3390/sym10120665 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/25331329 |
| publishDate | 2018 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry AlgebraHassan Azad (14150850)Khaleel Anaya (18091174)Ahmad Al-Dweik (18091177)M. Mustafa (705036)Mathematical sciencesMathematical physicsPhysical sciencesAstronomical scienceswave equationspherically symmetric spacetimeslie symmetriesrootsoptimal systemsinvariant solutions<div><p>Algorithms to construct the optimal systems of dimension of at most three of Lie algebras are given. These algorithms are applied to determine the Lie algebra structure and optimal systems of the symmetries of the wave equation on static spherically symmetric spacetimes admitting G7 as an isometry algebra. Joint invariants and invariant solutions corresponding to three-dimensional optimal systems are also determined.</p><p> </p></div><h2>Other Information</h2> <p> Published in: Symmetry<br> License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/sym10120665" target="_blank">https://dx.doi.org/10.3390/sym10120665</a></p>2018-11-23T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.3390/sym10120665https://figshare.com/articles/journal_contribution/Invariant_Solutions_of_the_Wave_Equation_on_Static_Spherically_Symmetric_Spacetimes_Admitting_G7_Isometry_Algebra/25331329CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/253313292018-11-23T03:00:00Z |
| spellingShingle | Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra Hassan Azad (14150850) Mathematical sciences Mathematical physics Physical sciences Astronomical sciences wave equation spherically symmetric spacetimes lie symmetries roots optimal systems invariant solutions |
| status_str | publishedVersion |
| title | Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra |
| title_full | Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra |
| title_fullStr | Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra |
| title_full_unstemmed | Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra |
| title_short | Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra |
| title_sort | Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra |
| topic | Mathematical sciences Mathematical physics Physical sciences Astronomical sciences wave equation spherically symmetric spacetimes lie symmetries roots optimal systems invariant solutions |