Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity
We address the question of correct description of Lagrange dynamics for regular electrically charged structures in nonlinear electrodynamics coupled to gravity. Regular spherically symmetric configuration satisfying the weak energy condition has obligatory de Sitter center in which the electric fiel...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/496475 |
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| author | Irina Dymnikova Evgeny Galaktionov Eduard Tropp |
| author_facet | Irina Dymnikova Evgeny Galaktionov Eduard Tropp |
| author_sort | Irina Dymnikova |
| collection | DOAJ |
| description | We address the question of correct description of Lagrange
dynamics for regular electrically charged structures in nonlinear
electrodynamics coupled to gravity. Regular spherically symmetric
configuration satisfying the weak energy condition has obligatory
de Sitter center in which the electric field vanishes while the
energy density of electromagnetic vacuum achieves its maximal
value. The Maxwell weak field limit LF→F as r→∞ requires vanishing electric field at infinity.
A field invariant F evolves between two minus zero in
the center and at infinity which makes a Lagrangian LF with nonequal asymptotic limits inevitably branching. We
formulate the appropriate nonuniform variational problem
including the proper boundary conditions and present the example
of the spherically symmetric Lagrangian describing electrically
charged structure with the regular center. |
| format | Article |
| id | doaj-art-20d810317dde48e797c3331e316e6349 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-20d810317dde48e797c3331e316e63492025-02-03T01:00:14ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/496475496475Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to GravityIrina Dymnikova0Evgeny Galaktionov1Eduard Tropp2A. F. Ioffe Physical-Technical Institute, Politekhnicheskaja 26, St. Petersburg, 194021, RussiaA. F. Ioffe Physical-Technical Institute, Politekhnicheskaja 26, St. Petersburg, 194021, RussiaA. F. Ioffe Physical-Technical Institute, Politekhnicheskaja 26, St. Petersburg, 194021, RussiaWe address the question of correct description of Lagrange dynamics for regular electrically charged structures in nonlinear electrodynamics coupled to gravity. Regular spherically symmetric configuration satisfying the weak energy condition has obligatory de Sitter center in which the electric field vanishes while the energy density of electromagnetic vacuum achieves its maximal value. The Maxwell weak field limit LF→F as r→∞ requires vanishing electric field at infinity. A field invariant F evolves between two minus zero in the center and at infinity which makes a Lagrangian LF with nonequal asymptotic limits inevitably branching. We formulate the appropriate nonuniform variational problem including the proper boundary conditions and present the example of the spherically symmetric Lagrangian describing electrically charged structure with the regular center.http://dx.doi.org/10.1155/2015/496475 |
| spellingShingle | Irina Dymnikova Evgeny Galaktionov Eduard Tropp Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity Advances in Mathematical Physics |
| title | Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_full | Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_fullStr | Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_full_unstemmed | Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_short | Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_sort | existence of electrically charged structures with regular center in nonlinear electrodynamics minimally coupled to gravity |
| url | http://dx.doi.org/10.1155/2015/496475 |
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