"Particle-like" singular solutions in Einstein-Maxwell theory and in algebraic dynamics
Grav.Cosmol.5:272-276,1999 Foundations of algebrodynamics based on earlier proposed equations of biquaternionic holomorphy are briefly expounded. Free Maxwell and Yang-Mills Eqs. are satisfied identically on the solutions of primary system which is also related to the Eqs. of shear-free null congrue...
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| creator | Kassandrov, V. V Trishin, V. N |
| description | Grav.Cosmol.5:272-276,1999 Foundations of algebrodynamics based on earlier proposed equations of
biquaternionic holomorphy are briefly expounded. Free Maxwell and Yang-Mills
Eqs. are satisfied identically on the solutions of primary system which is also
related to the Eqs. of shear-free null congruences (SFC), and through them - to
the Einstein-Maxwell electrovacuum system. Kerr theorem for SFC reduces the
basic system to one algebraic equation, so that with each solution of the
latter some (singular) solution of vacuum Eqs. may be associated. We present
some exact solutions of basic algebraic and of related field Eqs. with compact
structure of singularities of electromagnetic field, in particular having the
form of figure "8" curve. Fundamental solution to primary system is analogous
to the metric and fields of the Kerr-Newman solution. In addition, in the
framework of algebraic dynamics the value of electric charge for this solution
is strictly fixed in magnitude and may be set equal to the elementary charge. |
| doi_str_mv | 10.48550/arxiv.gr-qc/0007026 |
| format | Article |
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biquaternionic holomorphy are briefly expounded. Free Maxwell and Yang-Mills
Eqs. are satisfied identically on the solutions of primary system which is also
related to the Eqs. of shear-free null congruences (SFC), and through them - to
the Einstein-Maxwell electrovacuum system. Kerr theorem for SFC reduces the
basic system to one algebraic equation, so that with each solution of the
latter some (singular) solution of vacuum Eqs. may be associated. We present
some exact solutions of basic algebraic and of related field Eqs. with compact
structure of singularities of electromagnetic field, in particular having the
form of figure "8" curve. Fundamental solution to primary system is analogous
to the metric and fields of the Kerr-Newman solution. In addition, in the
framework of algebraic dynamics the value of electric charge for this solution
is strictly fixed in magnitude and may be set equal to the elementary charge.</description><identifier>DOI: 10.48550/arxiv.gr-qc/0007026</identifier><language>eng</language><subject>Physics - General Relativity and Quantum Cosmology</subject><creationdate>2000-07</creationdate><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/gr-qc/0007026$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.gr-qc/0007026$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Kassandrov, V. V</creatorcontrib><creatorcontrib>Trishin, V. N</creatorcontrib><title>"Particle-like" singular solutions in Einstein-Maxwell theory and in algebraic dynamics</title><description>Grav.Cosmol.5:272-276,1999 Foundations of algebrodynamics based on earlier proposed equations of
biquaternionic holomorphy are briefly expounded. Free Maxwell and Yang-Mills
Eqs. are satisfied identically on the solutions of primary system which is also
related to the Eqs. of shear-free null congruences (SFC), and through them - to
the Einstein-Maxwell electrovacuum system. Kerr theorem for SFC reduces the
basic system to one algebraic equation, so that with each solution of the
latter some (singular) solution of vacuum Eqs. may be associated. We present
some exact solutions of basic algebraic and of related field Eqs. with compact
structure of singularities of electromagnetic field, in particular having the
form of figure "8" curve. Fundamental solution to primary system is analogous
to the metric and fields of the Kerr-Newman solution. In addition, in the
framework of algebraic dynamics the value of electric charge for this solution
is strictly fixed in magnitude and may be set equal to the elementary charge.</description><subject>Physics - General Relativity and Quantum Cosmology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2000</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotjz1PwzAUAL0woMI_YLCyu3XiOE5HVJUPqQiGSozRy_NzsHBdaqfQ_HsE7XTDSScdY3elnNet1nIB6eS_50MSB1xIKY2smmv2XrxBGj0GEsF_UsGzj8MxQOJ5H46j38fMfeRrH_NIPooXOP1QCHz8oH2aOET7pyEM1CfwyO0UYecx37ArByHT7YUztn1Yb1dPYvP6-Ly63wgwqhHLttSIoC2BqsCW1FeoqUenpAJtSJXWubahXhvjFEG5RIuuRwOtqmXdqhkrztn_ue4r-R2kqRtSd8DuMql-AY4vUNc</recordid><startdate>20000713</startdate><enddate>20000713</enddate><creator>Kassandrov, V. V</creator><creator>Trishin, V. N</creator><scope>GOX</scope></search><sort><creationdate>20000713</creationdate><title>"Particle-like" singular solutions in Einstein-Maxwell theory and in algebraic dynamics</title><author>Kassandrov, V. V ; Trishin, V. N</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a736-9815cca5dea32ad1eb2c5ebcf303a57e31dff86eb577f3ea19cdcfbc7a8340483</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2000</creationdate><topic>Physics - General Relativity and Quantum Cosmology</topic><toplevel>online_resources</toplevel><creatorcontrib>Kassandrov, V. V</creatorcontrib><creatorcontrib>Trishin, V. N</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Kassandrov, V. V</au><au>Trishin, V. N</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>"Particle-like" singular solutions in Einstein-Maxwell theory and in algebraic dynamics</atitle><date>2000-07-13</date><risdate>2000</risdate><abstract>Grav.Cosmol.5:272-276,1999 Foundations of algebrodynamics based on earlier proposed equations of
biquaternionic holomorphy are briefly expounded. Free Maxwell and Yang-Mills
Eqs. are satisfied identically on the solutions of primary system which is also
related to the Eqs. of shear-free null congruences (SFC), and through them - to
the Einstein-Maxwell electrovacuum system. Kerr theorem for SFC reduces the
basic system to one algebraic equation, so that with each solution of the
latter some (singular) solution of vacuum Eqs. may be associated. We present
some exact solutions of basic algebraic and of related field Eqs. with compact
structure of singularities of electromagnetic field, in particular having the
form of figure "8" curve. Fundamental solution to primary system is analogous
to the metric and fields of the Kerr-Newman solution. In addition, in the
framework of algebraic dynamics the value of electric charge for this solution
is strictly fixed in magnitude and may be set equal to the elementary charge.</abstract><doi>10.48550/arxiv.gr-qc/0007026</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.gr-qc/0007026 |
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| language | eng |
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| subjects | Physics - General Relativity and Quantum Cosmology |
| title | "Particle-like" singular solutions in Einstein-Maxwell theory and in algebraic dynamics |
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