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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1687-9120 1687-9139 |